This book presents the peridynamic theory, which provides the capability for improved modeling of progressive failure in materials and structures, and paves the way for addressing multi-physics and multi-scale problems. The book provides students and researchers with a theoretical and practical knowledge of the peridynamic theory and the skills required to analyze engineering problems. The text may be used in courses such as Multi-physics and Multi-scale Analysis, Nonlocal Computational Mechanics, and Computational Damage Prediction. Sample algorithms for the solution of benchmark problems are available so that the reader can modify these algorithms, and develop their own solution algorithms for specific problems. Students and researchers will find this book an essential and invaluable reference on the topic.

Fatigue Life Prediction of Solder Joints in Electronic Packages with ANSYS(r) describes the method in great detail starting from the theoretical basis. The reader is supplied with an add-on software package to ANSYS(r) that is designed for solder joint fatigue reliability analysis of electronic packages. Specific steps of the analysis method are discussed through examples without leaving any room for confusion. The add-on package along with the examples make it possible for an engineer with a working knowledge of ANSYS(r) to perform solder joint reliability analysis.
Fatigue Life Prediction of Solder Joints in Electronic Packages with ANSYS(r) allows the engineers to conduct fatigue reliability analysis of solder joints in electronic packag

This book introduces the peridynamic (PD) differential operator, which enables the nonlocal form of local differentiation. PD is a bridge between differentiation and integration. It provides the computational solution of complex field equations and evaluation of derivatives of smooth or scattered data in the presence of discontinuities. PD also serves as a natural filter to smooth noisy data and to recover missing data. This book starts with an overview of the PD concept, the derivation of the PD differential operator, its numerical implementation for the spatial and temporal derivatives, and the description of sources of error. The applications concern interpolation, regression, and smoothing of data, solutions to nonlinear ordinary differential equations, single- and multi-field partial differential equations and integro-differential equations. It describes the derivation of the weak form of PD Poisson's and Navier's equations for direct imposition of essential and natural boundary conditions. It also presents an alternative approach for the PD differential operator based on the least squares minimization. Peridynamic Differential Operator for Numerical Analysis is suitable for both advanced-level student and researchers, demonstrating how to construct solutions to all of the applications. Provided as supplementary material, solution algorithms for a set of selected applications are available for more details in the numerical implementation.

This textbook offers theoretical and practical knowledge of the finite element method. The book equips readers with the skills required to analyze engineering problems using ANSYS (R), a commercially available FEA program. Revised and updated, this new edition presents the most current ANSYS (R) commands and ANSYS (R) screen shots, as well as modeling steps for each example problem. This self-contained, introductory text minimizes the need for additional reference material by covering both the fundamental topics in finite element methods and advanced topics concerning modeling and analysis. It focuses on the use of ANSYS (R) through both the Graphics User Interface (GUI) and the ANSYS (R) Parametric Design Language (APDL). Extensive examples from a range of engineering disciplines are presented in a straightforward, step-by-step fashion. Key topics include: * An introduction to FEM * Fundamentals and analysis capabilities of ANSYS (R) * Fundamentals of discretization and approximation functions * Modeling techniques and mesh generation in ANSYS (R) * Weighted residuals and minimum potential energy * Development of macro files * Linear structural analysis * Heat transfer and moisture diffusion * Nonlinear structural problems * Advanced subjects such as submodeling, substructuring, interaction with external files, and modification of ANSYS (R)-GUI Electronic supplementary material for using ANSYS (R) can be found at http://link.springer.com/book/10.1007/978-1-4899-7550-8. This convenient online feature, which includes color figures, screen shots and input files for sample problems, allows for regeneration on the reader's own computer. Students, researchers, and practitioners alike will find this an essential guide to predicting and simulating the physical behavior of complex engineering systems."

This book provides readers with an incisive look at cutting-edge peridynamic modeling methods, numerical techniques, their applications, and potential future directions for the field. It starts with an introductory chapter authored by Stewart Silling, who originally developed peridynamics. It then looks at new concepts in the field, with chapters covering dual-horizon peridynamics, peridynamics for axisymmetric analysis, beam and plate models in peridynamics, coupled peridynamics and XFEM, peridynamics for dynamic fracture modeling, and more. From there, it segues into coverage of cutting-edge applications of peridynamics, exploring its biological applications, modeling at the nanoscale, peridynamics for composites delamination and damage in ceramics, and more, concluding with a chapter on the application of artificial intelligence and machine learning in peridynamics.

This textbook offers theoretical and practical knowledge of the finite element method. The book equips readers with the skills required to analyze engineering problems using ANSYS (R), a commercially available FEA program. Revised and updated, this new edition presents the most current ANSYS (R) commands and ANSYS (R) screen shots, as well as modeling steps for each example problem. This self-contained, introductory text minimizes the need for additional reference material by covering both the fundamental topics in finite element methods and advanced topics concerning modeling and analysis. It focuses on the use of ANSYS (R) through both the Graphics User Interface (GUI) and the ANSYS (R) Parametric Design Language (APDL). Extensive examples from a range of engineering disciplines are presented in a straightforward, step-by-step fashion. Key topics include: * An introduction to FEM * Fundamentals and analysis capabilities of ANSYS (R) * Fundamentals of discretization and approximation functions * Modeling techniques and mesh generation in ANSYS (R) * Weighted residuals and minimum potential energy * Development of macro files * Linear structural analysis * Heat transfer and moisture diffusion * Nonlinear structural problems * Advanced subjects such as submodeling, substructuring, interaction with external files, and modification of ANSYS (R)-GUI Electronic supplementary material for using ANSYS (R) can be found at http://link.springer.com/book/10.1007/978-1-4899-7550-8. This convenient online feature, which includes color figures, screen shots and input files for sample problems, allows for regeneration on the reader's own computer. Students, researchers, and practitioners alike will find this an essential guide to predicting and simulating the physical behavior of complex engineering systems."

This book presents the peridynamic theory, which provides the capability for improved modeling of progressive failure in materials and structures, and paves the way for addressing multi-physics and multi-scale problems. The book provides students and researchers with a theoretical and practical knowledge of the peridynamic theory and the skills required to analyze engineering problems. The text may be used in courses such as Multi-physics and Multi-scale Analysis, Nonlocal Computational Mechanics, and Computational Damage Prediction. Sample algorithms for the solution of benchmark problems are available so that the reader can modify these algorithms, and develop their own solution algorithms for specific problems. Students and researchers will find this book an essential and invaluable reference on the topic.

Fatigue Life Prediction of Solder Joints in Electronic Packages with ANSYS (R) describes the method in great detail starting from the theoretical basis. The reader is supplied with an add-on software package to ANSYS (R) that is designed for solder joint fatigue reliability analysis of electronic packages. Specific steps of the analysis method are discussed through examples without leaving any room for confusion. The add-on package along with the examples make it possible for an engineer with a working knowledge of ANSYS (R) to perform solder joint reliability analysis. Fatigue Life Prediction of Solder Joints in Electronic Packages with ANSYS (R) allows the engineers to conduct fatigue reliability analysis of solder joints in electronic packages.