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Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General

Fracture and Fatigue, Volume 7 - Proceedings of the 2013 Annual Conference on Experimental and Applied Mechanics (Paperback,... Fracture and Fatigue, Volume 7 - Proceedings of the 2013 Annual Conference on Experimental and Applied Mechanics (Paperback, Softcover reprint of the original 1st ed. 2014)
Carroll Jay
R4,903 Discovery Miles 49 030 Ships in 10 - 15 working days

Fracture and Fatigue, Volume 7: Proceedings of the 2013 Annual Conference on Experimental and Applied Mechanics, the seventh volume of eight from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on a wide range of areas, including: Microstructural Effects in Fatigue & Fracture Fracture of Interfaces Fracture of Composites and Interface Cracks Fatigue & Fracture: Environmental & Loading Effects Fracture & Digital Image Correlation

Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 9 - Proceedings of the 2015... Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 9 - Proceedings of the 2015 Annual Conference on Experimental and Applied Mechanics (Paperback, Softcover reprint of the original 1st ed. 2016)
Sven Bossuyt, Gary Schajer, Alberto Carpinteri
R7,529 Discovery Miles 75 290 Ships in 10 - 15 working days

Residual Stress, Thermomechanics& Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 9 of the Proceedings of the 2015SEM Annual Conference & Exposition on Experimental and Applied Mechanics, the ninth volume of nine from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on a wide range of areas, including: Inverse Methods Inverse Methods in Plasticity Varying Length Scales Harsh Environments Opto-Acoustical Methods Hybrid Experimental Residual Stress Modelling and Advances in Measurements Thermomechanics General Material Response Infrared Imaging

Finite Element Modeling of Nanotube Structures - Linear and Non-linear Models (Paperback, Softcover reprint of the original 1st... Finite Element Modeling of Nanotube Structures - Linear and Non-linear Models (Paperback, Softcover reprint of the original 1st ed. 2016)
Mokhtar Awang, Ehsan Mohammadpour, Ibrahim Dauda Muhammad
R3,545 Discovery Miles 35 450 Ships in 10 - 15 working days

This book presents a new approach to modeling carbon structures such as graphene and carbon nanotubes using finite element methods, and addresses the latest advances in numerical studies for these materials. Based on the available findings, the book develops an effective finite element approach for modeling the structure and the deformation of grapheme-based materials. Further, modeling processing for single-walled and multi-walled carbon nanotubes is demonstrated in detail.

Proper Generalized Decompositions - An Introduction to Computer Implementation with Matlab (Paperback, 1st ed. 2016): Elias... Proper Generalized Decompositions - An Introduction to Computer Implementation with Matlab (Paperback, 1st ed. 2016)
Elias Cueto, David Gonzalez, Iciar Alfaro
R1,804 Discovery Miles 18 040 Ships in 10 - 15 working days

This book is intended to help researchers overcome the entrance barrier to Proper Generalized Decomposition (PGD), by providing a valuable tool to begin the programming task. Detailed Matlab Codes are included for every chapter in the book, in which the theory previously described is translated into practice. Examples include parametric problems, non-linear model order reduction and real-time simulation, among others. Proper Generalized Decomposition (PGD) is a method for numerical simulation in many fields of applied science and engineering. As a generalization of Proper Orthogonal Decomposition or Principal Component Analysis to an arbitrary number of dimensions, PGD is able to provide the analyst with very accurate solutions for problems defined in high dimensional spaces, parametric problems and even real-time simulation.

The Mechanics of Mechanical Watches and Clocks (Paperback, Softcover reprint of the original 1st ed. 2013): Ruxu Du, Longhan Xie The Mechanics of Mechanical Watches and Clocks (Paperback, Softcover reprint of the original 1st ed. 2013)
Ruxu Du, Longhan Xie
R4,953 Discovery Miles 49 530 Ships in 10 - 15 working days

"The Mechanics of Mechanical Watches and Clocks" presents historical views and mathematical models of mechanical watches and clocks. Although now over six hundred years old, mechanical watches and clocks are still popular luxury items that fascinate many people around the world. However few have examined the theory of how they work as presented in this book. The illustrations and computer animations are unique and have never been published before. It will be of significant interest to researchers in mechanical engineering, watchmakers and clockmakers, as well as people who have an engineering background and are interested in mechanical watches and clocks. It will also inspire people in other fields of science and technology, such as mechanical engineering and electronics engineering, to advance their designs. Professor Ruxu Du works at the Chinese University of Hong Kong, China. Assistant Professor Longhan Xie works at the South China University of Technology, China.

Elasticity for Geotechnicians - A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems... Elasticity for Geotechnicians - A Modern Exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin Problems (Paperback, Softcover reprint of the original 1st ed. 2014)
Paolo Podio-Guidugli, Antonino Favata
R5,217 Discovery Miles 52 170 Ships in 10 - 15 working days

This book deals in a modern manner with a family of named problems from an old and mature subject, classical elasticity. These problems are formulated over either a half or the whole of a linearly elastic and isotropic two- or three-dimensional space, subject to loads concentrated at points or lines. The discussion of each problem begins with a careful examination of the prevailing symmetries, and proceeds with inverting the canonical order, in that it moves from a search for balanced stress fields to the associated strain and displacement fields. The book, although slim, is fairly well self-contained; the only prerequisite is a reasonable familiarity with linear algebra (in particular, manipulation of vectors and tensors) and with the usual differential operators of mathematical physics (gradient, divergence, curl, and Laplacian); the few nonstandard notions are introduced with care. Support material for all parts of the book is found in the final Appendix.

Mechanical Self-Assembly - Science and Applications (Paperback, Softcover reprint of the original 1st ed. 2013): XI Chen Mechanical Self-Assembly - Science and Applications (Paperback, Softcover reprint of the original 1st ed. 2013)
XI Chen
R3,510 Discovery Miles 35 100 Ships in 10 - 15 working days

Mechanical Self-Assembly: Science and Applications introduces a novel category of self-assembly driven by mechanical forces. This book discusses self-assembly in various types of small material structures including thin films, surfaces, and micro- and nano-wires, as well as the practice's potential application in micro and nanoelectronics, MEMS/NEMS, and biomedical engineering. The mechanical self-assembly process is inherently quick, simple, and cost-effective, as well as accessible to a large number of materials, such as curved surfaces for forming three-dimensional small structures. Mechanical self-assembly is complementary to, and sometimes offer advantages over, the traditional micro- and nano-fabrication.

Design and Construction of Tunnels - Analysis of Controlled Deformations in Rock and Soils (ADECO-RS) (Paperback, Softcover... Design and Construction of Tunnels - Analysis of Controlled Deformations in Rock and Soils (ADECO-RS) (Paperback, Softcover reprint of the original 1st ed. 2008)
Pietro Lunardi
R3,541 Discovery Miles 35 410 Ships in 10 - 15 working days

This work illustrates how the Analysis of Controlled Deformation in Rocks and Soils (ADECO-RS) is used in the design and the construction of tunnels. This is a very new and effective way of tunnel construction. The ADECO-RS approach makes a clear distinction between the design and the construction stages and allows reliable forecasts of construction times and costs to be made. It uses the advance core (the core of ground ahead of the face) as a structural tool for the long and short term stabilisation of tunnels, after its rigidity has first been regulated using conservation techniques.

Dynamics of Mechanical Systems with Variable Mass (Paperback, Softcover reprint of the original 1st ed. 2014): Hans Irschik,... Dynamics of Mechanical Systems with Variable Mass (Paperback, Softcover reprint of the original 1st ed. 2014)
Hans Irschik, Alexander K. Belyaev
R3,698 Discovery Miles 36 980 Ships in 10 - 15 working days

The book presents up-to-date and unifying formulations for treating dynamics of different types of mechanical systems with variable mass. The starting point is overview of the continuum mechanics relations of balance and jump for open systems from which extended Lagrange and Hamiltonian formulations are derived. Corresponding approaches are stated at the level of analytical mechanics with emphasis on systems with a position-dependent mass and at the level of structural mechanics. Special emphasis is laid upon axially moving structures like belts and chains and on pipes with an axial flow of fluid. Constitutive relations in the dynamics of systems with variable mass are studied with particular reference to modeling of multi-component mixtures. The dynamics of machines with a variable mass are treated in detail and conservation laws and the stability of motion will be analyzed. Novel finite element formulations for open systems in coupled fluid and structural dynamics are presented.

Self Healing Materials - An Alternative Approach to 20 Centuries of Materials Science (Paperback, Softcover reprint of the... Self Healing Materials - An Alternative Approach to 20 Centuries of Materials Science (Paperback, Softcover reprint of the original 1st ed. 2007)
Sybrand van der Zwaag
R4,474 Discovery Miles 44 740 Ships in 10 - 15 working days

This book, the first published in this new sub-field of materials science, presents a coherent picture of the design principles and resulting properties of self-healing materials over all material classes, and offsets them to the current design principles for structural materials with improved mechanical properties. The book is not only a valuable asset for professional materials scientists but it is also suitable as a text book for courses at MSc level.

Experimental and Numerical Investigation of Advanced Materials and Structures (Paperback, Softcover reprint of the original 1st... Experimental and Numerical Investigation of Advanced Materials and Structures (Paperback, Softcover reprint of the original 1st ed. 2013)
Andreas Oechsner, Holm Altenbach
R3,698 Discovery Miles 36 980 Ships in 10 - 15 working days

The idea of this monograph is to present the latest results related to experimental and numerical investigations of advanced materials and structures. The contributions cover the field of mechanical, civil and materials engineering, ranging from new modelling and simulation techniques, advanced analysis techniques, optimization of structures and materials and constitutive modelling. Well known experts present their research on damage and fracture of material and structures, materials modelling and evaluation up to image processing and visualization for advanced analyses and evaluation.

Thermomechanics and Infra-Red Imaging, Volume 7 - Proceedings of the 2011 Annual Conference on Experimental and Applied... Thermomechanics and Infra-Red Imaging, Volume 7 - Proceedings of the 2011 Annual Conference on Experimental and Applied Mechanics (Hardcover, 2011)
Tom Proulx
R5,686 R4,482 Discovery Miles 44 820 Save R1,204 (21%) Ships in 12 - 17 working days

Thermomechanics and Infra-Red Imaging represents one of eight volumes of technical papers presented at the Society for Experimental Mechanics Annual Conference on Experimental and Applied Mechanics, held at Uncasville, Connecticut, June 13-16, 2011. The full set of proceedings also includes volumes on Dynamic Behavior of Materials, Mechanics of Biological Systems and Materials, Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, MEMS and Nanotechnology; Optical Measurements, Modeling and, Metrology; Experimental and Applied Mechanics, and Engineering Applications of Residual Stress.

Mechanics Of Solids And Structures (2nd Edition) (Paperback, 2nd Revised edition): David W.A. Rees Mechanics Of Solids And Structures (2nd Edition) (Paperback, 2nd Revised edition)
David W.A. Rees
R2,295 Discovery Miles 22 950 Ships in 12 - 17 working days

The fifteen chapters of this book are arranged in a logical progression. The text begins with the more fundamental material on stress and strain transformations with elasticity theory for plane and axially symmetric bodies, followed by a full treatment of the theories of bending and torsion. Coverage of moment distribution, shear flow, struts and energy methods precede a chapter on finite elements. Thereafter, the book presents yield and strength criteria, plasticity, collapse, creep, visco-elasticity, fatigue and fracture mechanics. Appended is material on the properties of areas, matrices and stress concentrations. Each topic is illustrated by worked examples and supported by numerous exercises drawn from the author's teaching experience and professional institution examinations (CEI). This edition includes new material and an extended exercise section for each of the fifteen chapters, as well as three appendices. The broad text ensures its suitability for undergraduate and postgraduate courses in which the mechanics of solids and structures form a part including: mechanical, aeronautical, civil, design and materials engineering.

Kraft, Energie, Leistung - Kurz und bündig (Paperback, 1. Aufl. 2015): Berthold Heinrich Kraft, Energie, Leistung - Kurz und bündig (Paperback, 1. Aufl. 2015)
Berthold Heinrich
R516 Discovery Miles 5 160 Ships in 10 - 15 working days

Berthold Heinrich stellt in diesem Essential die fünf Begriffe Kraft, Arbeit, Leistung, Wirkungsgrad und Energie im Zusammenhang dar, um damit Hilfen für eine sachgerechte Verwendung dieser im allgemeinen Sprachgebrauch oft falsch benutzten Bezeichnungen zu bieten. Neben den Definitionen werden viele durchgerechnete Beispiele vorgestellt, um die Anwendung der Begriffe in Physik und Technik zu verdeutlichen. Viele der hier verwendeten Beispiele können direkt sinngemäß auf andere Problemstellungen angewandt werden. Anschauliche Grafiken erleichtern das Verständnis.

Elastoplasticity Theory (Paperback, Softcover reprint of the original 2nd ed. 2014): Koichi Hashiguchi Elastoplasticity Theory (Paperback, Softcover reprint of the original 2nd ed. 2014)
Koichi Hashiguchi
R5,285 Discovery Miles 52 850 Ships in 10 - 15 working days

This book was written to serve as the standard textbook of elastoplasticity for students, engineers and researchers in the field of applied mechanics. The present second edition is improved thoroughly from the first edition by selecting the standard theories from various formulations and models, which are required to study the essentials of elastoplasticity steadily and effectively and will remain universally in the history of elastoplasticity. It opens with an explanation of vector-tensor analysis and continuum mechanics as a foundation to study elastoplasticity theory, extending over various strain and stress tensors and their rates. Subsequently, constitutive equations of elastoplastic and viscoplastic deformations for monotonic, cyclic and non-proportional loading behavior in a general rate and their applications to metals and soils are described in detail, and constitutive equations of friction behavior between solids and its application to the prediction of stick-slip phenomena are delineated. In addition, the return-mapping algorithm, the consistent tangent operators and the objective time-integration algorithm of rate tensor are explained in order to enforce the FEM analyses. All the derivation processes and formulations of equations are described in detail without an abbreviation throughout the book. The distinguishable features and importance of this book is the comprehensive description of fundamental concepts and formulations including the objectivity of tensor and constitutive equations, the objective time-derivative of tensor functions, the associated flow rule, the loading criterion, the continuity and smoothness conditions and their substantial physical interpretations in addition to the wide classes of reversible/irreversible constitutive equations of solids and friction behavior between solids.

Nanomechanical Analysis of High Performance Materials (Paperback, Softcover reprint of the original 1st ed. 2014): Atul Tiwari Nanomechanical Analysis of High Performance Materials (Paperback, Softcover reprint of the original 1st ed. 2014)
Atul Tiwari
R3,934 Discovery Miles 39 340 Ships in 10 - 15 working days

This book is intended for researchers who are interested in investigating the nanomechanical properties of materials using advanced instrumentation techniques. The chapters of the book are written in an easy-to-follow format, just like solved examples. The book comprehensively covers a broad range of materials such as polymers, ceramics, hybrids, biomaterials, metal oxides, nanoparticles, minerals, carbon nanotubes and welded joints. Each chapter describes the application of techniques on the selected material and also mentions the methodology adopted for the extraction of information from the raw data. This is a unique book in which both equipment manufacturers and equipment users have contributed chapters. Novices will learn the techniques directly from the inventors and senior researchers will gain in-depth information on the new technologies that are suitable for advanced analysis. On the one hand, fundamental concepts that are needed to understand the nanomechanical behavior of materials is included in the introductory part of the book. On the other hand, dedicated chapters describe the utilization of advanced numerical modeling in understanding the properties of complex materials. This book is useful for students and researchers from diverse backgrounds including chemistry, physics, materials science & engineering, biotechnology and biomedical engineering. It is well suited as a textbook for students and as a reference book for researchers.

Theory of Electroelasticity (Paperback, Softcover reprint of the original 1st ed. 2014): Zhen-Bang Kuang Theory of Electroelasticity (Paperback, Softcover reprint of the original 1st ed. 2014)
Zhen-Bang Kuang
R5,695 Discovery Miles 56 950 Ships in 10 - 15 working days

Theory of Electroelasticity analyzes the stress, strain, electric field and electric displacement in electroelastic structures such as sensors, actuators and other smart materials and structures. This book also describes new theories such as the physical variational principle and the inertial entropy theory. It differs from the traditional method by using the physical variational principle to derive the governing equations of the piezoelectric material, whereas the Maxwell stress is obtained automatically. By using the inertial entropy theory, the temperature wave equation is obtained very easily. The book is intended for scientists, researchers and engineers in the areas of mechanics, physics, smart material and control engineering as well as mechanical, aeronautical and civil engineering, etc. Zhen-Bang Kuang is a professor at Shanghai Jiao Tong University.

Topology Optimization in Structural and Continuum Mechanics (Paperback, Softcover reprint of the original 1st ed. 2014): George... Topology Optimization in Structural and Continuum Mechanics (Paperback, Softcover reprint of the original 1st ed. 2014)
George I.N. Rozvany, Tomasz Lewinski
R7,832 Discovery Miles 78 320 Ships in 10 - 15 working days

The book covers new developments in structural topology optimization. Basic features and limitations of Michell's truss theory, its extension to a broader class of support conditions, generalizations of truss topology optimization, and Michell continua are reviewed. For elastic bodies, the layout problems in linear elasticity are discussed and the method of relaxation by homogenization is outlined. The classical problem of free material design is shown to be reducible to a locking material problem, even in the multiload case. For structures subjected to dynamic loads, it is explained how they can be designed so that the structural eigenfrequencies of vibration are as far away as possible from a prescribed external excitation frequency (or a band of excitation frequencies) in order to avoid resonance phenomena with high vibration and noise levels. For diffusive and convective transport processes and multiphysics problems, applications of the density method are discussed. In order to take uncertainty in material parameters, geometry, and operating conditions into account, techniques of reliability-based design optimization are introduced and reviewed for their applicability to topology optimization.

Mechanics of Biological Systems and Materials, Volume 4 - Proceedings of the 2013 Annual Conference on Experimental and Applied... Mechanics of Biological Systems and Materials, Volume 4 - Proceedings of the 2013 Annual Conference on Experimental and Applied Mechanics (Paperback, Softcover reprint of the original 1st ed. 2014)
Francois Barthelat, Pablo Zavattieri, Chad S. Korach, Barton C. Prorok, K. Jane Grande-Allen
R6,619 Discovery Miles 66 190 Ships in 10 - 15 working days

Mechanics of Biological Systems and Materials, Volume 4: Proceedings of the 2013 Annual Conference on Experimental and Applied Mechanics, the fourth volume of eight from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on a wide range of areas, including: Structure-Function & Design of Soft Biological Tissues Soft Tissue Biomechanics: Nanoscale to Physiological Control Bone Mechanics Biomimetic Materials Residual Stresses in Biological Materials Cells Cellulose Materials

Design of Adhesive Joints Under Humid Conditions (Paperback, Softcover reprint of the original 1st ed. 2013): Lucas F. M. da... Design of Adhesive Joints Under Humid Conditions (Paperback, Softcover reprint of the original 1st ed. 2013)
Lucas F. M. da Silva, Chiaki Sato
R3,439 Discovery Miles 34 390 Ships in 10 - 15 working days

This book describes most recent advances and limitations concerning design of adhesive joints under humid conditions and discusses future trends. It presents new approaches to predict the failure load after exposure to load, temperature and humidity over a long period of time. With the rapid increase in numerical computing power there have been attempts to formalize the different environmental contributions in order to provide a procedure to predict assembly durability, based on an initial identification of diffusion coefficients and mechanical parameters for both the adhesive and the interface. A coupled numerical model for the joint of interest is then constructed and this allows local water content to be defined and resulting changes in adhesive and interface properties to be predicted.

Durability of Building Materials and Components (Paperback, Softcover reprint of the original 1st ed. 2013): Vasco Peixoto De... Durability of Building Materials and Components (Paperback, Softcover reprint of the original 1st ed. 2013)
Vasco Peixoto De De Freitas, J.M.P.Q. Delgado
R3,710 Discovery Miles 37 100 Ships in 10 - 15 working days

Durability of Building Materials and Components provides a collection of recent research works to contribute to the systematization and dissemination of knowledge related to the long-term performance and durability of construction and, simultaneously, to show the most recent advances in this domain. It includes a set of new developments in the field of durability, service life prediction methodologies, the durability approach for historical and old buildings, asset and maintenance management and on the durability of materials, systems and components. The book is divided in several chapters that intend to be a resume of the current state of knowledge for benefit of professional colleagues.

Composites with Micro- and Nano-Structure - Computational Modeling and Experiments (Paperback, Softcover reprint of the... Composites with Micro- and Nano-Structure - Computational Modeling and Experiments (Paperback, Softcover reprint of the original 1st ed. 2008)
Vladimir Kompis
R4,446 Discovery Miles 44 460 Ships in 10 - 15 working days

This book presents new results in the knowledge and simulations for composite nano-materials. It includes selected, extended papers presented in the thematic ECCOMAS conference on Composites with Micro- and Nano-Structure (CMNS) - Computational Modelling and Experiments. It contains atomistic and continuum numerical methods and experimental validation for composite materials reinforced with particles or fibres, porous materials, homogenization and other important topics.

Stone Cladding Engineering (Paperback, Softcover reprint of the original 1st ed. 2014): Rui De Sousa Camposinhos Stone Cladding Engineering (Paperback, Softcover reprint of the original 1st ed. 2014)
Rui De Sousa Camposinhos
R3,416 Discovery Miles 34 160 Ships in 10 - 15 working days

This volume presents new methodologies for the design of dimension stone based on the concepts of structural design while preserving the excellence of stonemasonry practice in facade engineering. Straightforward formulae are provided for computing action on cladding, with special emphasis on the effect of seismic forces, including an extensive general methodology applied to non-structural elements. Based on the Load and Resistance Factor Design Format (LRDF), minimum slab thickness formulae are presented that take into consideration stress concentrations analysis based on the Finite Element Method (FEM) for the most commonly used modern anchorage systems. Calculation examples allow designers to solve several anchorage engineering problems in a detailed and objective manner, underlining the key parameters. The design of the anchorage metal parts, either in stainless steel or aluminum, is also presented.

Plasticity - Modeling & Computation (Paperback, Softcover reprint of the original 1st ed. 2013): Ronaldo I. Borja Plasticity - Modeling & Computation (Paperback, Softcover reprint of the original 1st ed. 2013)
Ronaldo I. Borja
R5,934 Discovery Miles 59 340 Ships in 10 - 15 working days

There have been many excellent books written on the subject of plastic deformation in solids, but rarely can one find a textbook on this subject. "Plasticity Modeling & Computation" is a textbook written specifically for students who want to learn the theoretical, mathematical, and computational aspects of inelastic deformation in solids. It adopts a simple narrative style that is not mathematically overbearing, and has been written to emulate a professor giving a lecture on this subject inside a classroom. Each section is written to provide a balance between the relevant equations and the explanations behind them. Where relevant, sections end with one or more exercises designed to reinforce the understanding of the "lecture." Color figures enhance the presentation and make the book very pleasant to read. For professors planning to use this textbook for their classes, the contents are sufficient for Parts A and B that can be taught in sequence over a period of two semesters or quarters.

Direct Methods for Limit States in Structures and Materials (Paperback, Softcover reprint of the original 1st ed. 2014):... Direct Methods for Limit States in Structures and Materials (Paperback, Softcover reprint of the original 1st ed. 2014)
Konstantinos Spiliopoulos, Dieter Weichert
R3,722 Discovery Miles 37 220 Ships in 10 - 15 working days

Knowing the safety factor for limit states such as plastic collapse, low cycle fatigue or ratcheting is always a major design consideration for civil and mechanical engineering structures that are subjected to loads. Direct methods of limit or shakedown analysis that proceed to directly find the limit states offer a better alternative than exact time-stepping calculations as, on one hand, an exact loading history is scarcely known, and on the other they are much less time-consuming. This book presents the state of the art on various topics concerning these methods, such as theoretical advances in limit and shakedown analysis, the development of relevant algorithms and computational procedures, sophisticated modeling of inelastic material behavior like hardening, non-associated flow rules, material damage and fatigue, contact and friction, homogenization and composites.

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