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This book presents various dynamic processes in non-uniform
piezoceramic cylindrical and spherical bodies based on numerical
methods. It discusses different variants of nonhomogeneous
structural polarized piezoceramic materials in the shape of
cylinders and spheres, and highlights the validation of the
reliability of the results obtained by numerical calculations. The
content is based on an outlined theory and methods of
three-dimensional electroelasticity problems.
This book commemorates the 75th birthday of Prof. George Jaiani -
Georgia's leading expert on shell theory. He is also well known
outside Georgia for his individual approach to shell theory
research and as an organizer of meetings, conferences and schools
in the field. The collection of papers presented includes articles
by scientists from various countries discussing the state of the
art and new trends in the theory of shells, plates, and beams.
Chapter 20 is available open access under a Creative Commons
Attribution 4.0 International License via link.springer.com.
This book presents various dynamic processes in non-uniform
piezoceramic cylindrical and spherical bodies based on numerical
methods. It discusses different variants of nonhomogeneous
structural polarized piezoceramic materials in the shape of
cylinders and spheres, and highlights the validation of the
reliability of the results obtained by numerical calculations. The
content is based on an outlined theory and methods of
three-dimensional electroelasticity problems.
This book commemorates the 75th birthday of Prof. George Jaiani -
Georgia's leading expert on shell theory. He is also well known
outside Georgia for his individual approach to shell theory
research and as an organizer of meetings, conferences and schools
in the field. The collection of papers presented includes articles
by scientists from various countries discussing the state of the
art and new trends in the theory of shells, plates, and beams.
Chapter 20 is available open access under a Creative Commons
Attribution 4.0 International License via link.springer.com.
This book presents a collection of contributions on the advanced
mechanics of materials and mechanics of structures approaches,
written in honor of Professor Kienzler. It covers various topics
related to constitutive models for advanced materials, recent
developments in mechanics of configuration forces, as well as new
approaches to the efficient modeling and analysis of engineering
structures.
This book presents a collection of contributions on the advanced
mechanics of materials and mechanics of structures approaches,
written in honor of Professor Kienzler. It covers various topics
related to constitutive models for advanced materials, recent
developments in mechanics of configuration forces, as well as new
approaches to the efficient modeling and analysis of engineering
structures.
Thermodynamics is the much abused slave of many masters *
physicists who love the totally impractical Carnot process, *
mechanical engineers who design power stations and refrigerators, *
chemists who are successfully synthesizing ammonia and are puzzled
by photosynthesis, * meteorologists who calculate cloud bases and
predict foehn, boraccia and scirocco, * physico-chemists who
vulcanize rubber and build fuel cells, * chemical engineers who
rectify natural gas and distil f- mented potato juice, *
metallurgists who improve steels and harden surfaces, * - trition
counselors who recommend a proper intake of calories, * mechanics
who adjust heat exchangers, * architects who construe - and often
misconstrue - ch- neys, * biologists who marvel at the height of
trees, * air conditioning engineers who design saunas and the
ventilation of air plane cabins, * rocket engineers who create
supersonic flows, et cetera. Not all of these professional groups
need the full depth and breadth of ther- dynamics. For some it is
enough to consider a well-stirred tank, for others a s- tionary
nozzle flow is essential, and yet others are well-served with the
partial d- ferential equation of heat conduction. It is therefore
natural that thermodynamics is prone to mutilation; different
group-specific meta-thermodynamics' have emerged which serve the
interest of the groups under most circumstances and leave out
aspects that are not often needed in their fields.
This book discusses recent findings and advanced theories presented
at two workshops at TU Berlin in 2017 and 2018. It underlines
several advantages of generalized continuum models compared to the
classical Cauchy continuum, which although widely used in
engineering practice, has a number of limitations, such as: * The
structural size is very small. * The microstructure is complex. *
The effects are localized. As such, the development of generalized
continuum models is helpful and results in a better description of
the behavior of structures or materials. At the same time, there
are more and more experimental studies supporting the new models
because the number of material parameters is higher.
This book discusses recent findings and advanced theories presented
at two workshops at TU Berlin in 2017 and 2018. It underlines
several advantages of generalized continuum models compared to the
classical Cauchy continuum, which although widely used in
engineering practice, has a number of limitations, such as: * The
structural size is very small. * The microstructure is complex. *
The effects are localized. As such, the development of generalized
continuum models is helpful and results in a better description of
the behavior of structures or materials. At the same time, there
are more and more experimental studies supporting the new models
because the number of material parameters is higher.
This brief book presents solutions of stress-strain problems for a
wide class of anisotropic inhomogeneous shells obtained by the
refined model. Studying these problems results in severe
computational difficulties due to partial differential equations
with variable coefficients resulting from the constitutive
relations of the original model. To solve this problem the book
uses spline-collocation and discrete-orthogonalization methods. It
analyses the influence of geometrical and mechanical parameters, of
various kinds of boundary conditions, and of the loading conditions
on the distributions of stress and displacement fields in shallow,
spherical, conical, and noncircular cylindrical shells. The
dependence of the stress-strain pattern on shell thickness
variations is studied. The authors solve the problem also for the
case of the thickness varying in two directions. They study how a
variation in shell thickness influences the stress-strain state and
consider noncircular cylindrical shells with elliptical and
corrugated sections are considered. The results obtained during
numerous calculations support the efficiency of the
discrete-orthogonalization approach proposed in the monograph for
solving static problems for anisotropic inhomogeneous shells when
using the refined model.
These two-partition books present essential approaches to
numerical-analytical solutions of problems in the mechanics of
shells with various structures and shapes based on refined and
spatial models. Further, it examines the mechanical behavior of
shallow, circular and noncircular, conical, spherical, and
functionally graded shells obtained by the refined model. The book
investigates the stress-strain state and free vibrations of
finite-length cylinders in spatial formulation (3D elasticity
theory). Further, it analyzes the influence of geometrical and
mechanical parameters, of boundary conditions, and of the loading
character on both the distributions of stress and displacement
fields, and on the dynamical characteristics in these shells and
cylinders. Lastly, it discusses in detail the validation of
reliability for the results obtained by numerical calculations. As
such, it complements the first part of the book, the volume Recent
Developments in Anisotropic Heterogeneous Shell Theory:
Applications of Refined and Three-dimensional Theory.
This book presents an in-depth continuum mechanics analysis of the
deformation due to self-gravitation in terrestrial objects, such as
the inner planets, rocky moons and asteroids. Following a brief
history of the problem, modern continuum mechanics tools are
presented in order to derive the underlying field equations, both
for solid and fluid material models. Various numerical solution
techniques are discussed, such as Runge-Kutta integration, series
expansion, finite differences, and (adaptive) FE analysis.
Analytical solutions for selected special cases, which are worked
out in detail, are also included. All of these methods are then
applied to the problem, quantitative results are compared, and the
pros and cons of the analytical solutions and of all the numerical
methods are discussed. The book culminates in a multi-layer model
for planet Earth according to the PREM Model (Preliminary Earth
Model) and in a viscoelastic analysis of the deformation problem,
all from the viewpoint of rational continuum theory and numerical
analysis.
This volume focuses on the relevant general theory and presents
some first applications, namely those based on classical shell
theory. After a brief introduction, during which the history and
state-of-the-art are discussed, the first chapter presents the
mechanics of anisotropic heterogeneous shells, covering all
relevant assumptions and the basic relations of 3D elasticity,
classical and refined shell models. The second chapter examines the
numerical techniques that are used, namely discrete
orthogonalization, spline-collocation and Fourier series, while the
third highlights applications based on classical theory, in
particular, the stress-strain state of shallow shells, non-circular
shells, shells of revolution, and free vibrations of conical
shells. The book concludes with a summary and an outlook bridging
the gap to the second volume.
This book introduces field theory as required in solid and fluid
mechanics as well as in electromagnetism. It includes the necessary
applied mathematical framework of tensor algebra and tensor
calculus, using an inductive approach particularly suited to
beginners. It is geared toward undergraduate classes in continuum
theory for engineers in general, and more specifically to courses
in continuum mechanics. Students will gain a sound basic
understanding of the subject as well as the ability to solve
engineering problems by applying the general laws of nature in
terms of the balances for mass, momentum, and energy in combination
with material-specific relations in terms of constitutive
equations, thus learning how to use the theory in practice for
themselves. This is facilitated by numerous examples and problems
provided throughout the text.
Das Buch fuhrt in die Bereiche der Kontinuumstheorie ein, die
fur Ingenieure relevant sind: die Deformation des elastischen und
des plastifizierenden Festkorpers, die Stromung reibungsfreier und
reibungsbehafteter Fluide sowie die Elektrodynamik. Der Autor baut
die Theorie im Sinne der rationalen Mechanik auf, d.h., er erstellt
ein Feldgleichungssystem und gibt sozusagen nebenbei eine
Einfuhrung in die Tensoranalysis. Dabei werden sowohl der
Indexkalkul als auch die absolute Schreibweise verwendet und
gegenubergestellt.
Thermodynamics is the much abused slave of many masters *
physicists who love the totally impractical Carnot process, *
mechanical engineers who design power stations and refrigerators, *
chemists who are successfully synthesizing ammonia and are puzzled
by photosynthesis, * meteorologists who calculate cloud bases and
predict foehn, boraccia and scirocco, * physico-chemists who
vulcanize rubber and build fuel cells, * chemical engineers who
rectify natural gas and distil f- mented potato juice, *
metallurgists who improve steels and harden surfaces, * - trition
counselors who recommend a proper intake of calories, * mechanics
who adjust heat exchangers, * architects who construe - and often
misconstrue - ch- neys, * biologists who marvel at the height of
trees, * air conditioning engineers who design saunas and the
ventilation of air plane cabins, * rocket engineers who create
supersonic flows, et cetera. Not all of these professional groups
need the full depth and breadth of ther- dynamics. For some it is
enough to consider a well-stirred tank, for others a s- tionary
nozzle flow is essential, and yet others are well-served with the
partial d- ferential equation of heat conduction. It is therefore
natural that thermodynamics is prone to mutilation; different
group-specific meta-thermodynamics' have emerged which serve the
interest of the groups under most circumstances and leave out
aspects that are not often needed in their fields.
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Michael Buble
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Discovery Miles 4 870
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