Uniqueness Theorems In Linear Elasticity
DOWNLOAD
Download Uniqueness Theorems In Linear Elasticity PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Uniqueness Theorems In Linear Elasticity book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Uniqueness Theorems In Linear Elasticity
DOWNLOAD
Author : Robin J. Knops
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Uniqueness Theorems In Linear Elasticity written by Robin J. Knops and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The classical result for uniqueness in elasticity theory is due to Kirchhoff. It states that the standard mixed boundary value problem for a homogeneous isotropic linear elastic material in equilibrium and occupying a bounded three-dimensional region of space possesses at most one solution in the classical sense, provided the Lame and shear moduli, A and J1 respectively, obey the inequalities (3 A + 2 J1) > 0 and J1>O. In linear elastodynamics the analogous result, due to Neumann, is that the initial-mixed boundary value problem possesses at most one solution provided the elastic moduli satisfy the same set of inequalities as in Kirchhoffs theorem. Most standard textbooks on the linear theory of elasticity mention only these two classical criteria for uniqueness and neglect altogether the abundant literature which has appeared since the original publications of Kirchhoff. To remedy this deficiency it seems appropriate to attempt a coherent description ofthe various contributions made to the study of uniqueness in elasticity theory in the hope that such an exposition will provide a convenient access to the literature while at the same time indicating what progress has been made and what problems still await solution. Naturally, the continuing announcement of new results thwarts any attempt to provide a complete assessment. Apart from linear elasticity theory itself, there are several other areas where elastic uniqueness is significant.
Uniqueness Theorems In Linear Elasticity By R J Knops And L E Payne
DOWNLOAD
Author : Robin John Knops
language : en
Publisher:
Release Date : 1971
Uniqueness Theorems In Linear Elasticity By R J Knops And L E Payne written by Robin John Knops and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Boundary value problems categories.
Canadian Mathematical Bulletin
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1975
Canadian Mathematical Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
A Primer In Elasticity
DOWNLOAD
Author : P. Podio-Guidugli
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
A Primer In Elasticity written by P. Podio-Guidugli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.
I want to thank R. L. Fosdick, M. E. Gurtin and W. O. Williams for their detailed criticism of the manuscript. I also thank F. Davi, M. Lembo, P. Nardinocchi and M. Vianello for valuable remarks prompted by their reading of one or another of the many previous drafts, from 1988 to date. Since it has taken me so long to bring this writing to its present form, many other colleagues and students have episodically offered useful comments and caught mistakes: a list would risk to be incomplete, but I am heartily grateful to them all. Finally, I thank V. Nicotra for skillfully transforming my hand sketches into book-quality figures. P. PODIO-GUIDUGLI Roma, April 2000 Journal of Elasticity 58: 1-104,2000. 1 P. Podio-Guidugli, A Primer in Elasticity. © 2000 Kluwer Academic Publishers. CHAPTER I Strain 1. Deformation. Displacement Let 8 be a 3-dimensional Euclidean space, and let V be the vector space associated with 8. We distinguish a point p E 8 both from its position vector p(p):= (p-o) E V with respect to a chosen origin 0 E 8 and from any triplet (~1, ~2, ~3) E R3 of coordinates that we may use to label p. Moreover, we endow V with the usual inner product structure, and orient it in one of the two possible manners. It then makes sense to consider the inner product a .
Elastic And Inelastic Stress Analysis
DOWNLOAD
Author : Irving H Shames
language : en
Publisher: CRC Press
Release Date : 1997-02-01
Elastic And Inelastic Stress Analysis written by Irving H Shames and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-02-01 with Science categories.
Presenting certain key aspects of inelastic solid mechanics centered around viscoelasticity, creep, viscoplasticity, and plasticity, this text is conveniently divided into three parts. The sections focus on the fundamentals of elasticity, useful constitutive laws, and applications to simple structural members. The book provides extended treatment of basic problems in static structural mechanics, including elastic and inelastic effects. It contains worked-out examples and end-of-chapter problems to clarify concepts.
Topics In Finite Elasticity
DOWNLOAD
Author : Morton E. Gurtin
language : en
Publisher: SIAM
Release Date : 1981-09-01
Topics In Finite Elasticity written by Morton E. Gurtin and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-09-01 with Technology & Engineering categories.
This monograph presents a derivation of the basic equations of the theory of finite elasticity.
Elastoplasticity Theory
DOWNLOAD
Author : Vlado A. Lubarda
language : en
Publisher: CRC Press
Release Date : 2001-07-16
Elastoplasticity Theory written by Vlado A. Lubarda and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-16 with Science categories.
Understanding the elastoplastic deformation of metals and geomaterials, including the constitutive description of the materials and analysis of structure undergoing plastic deformation, is an essential part of the background required by mechanical, civil, and geotechnical engineers as well as materials scientists. However, most books address the su
Potential Method In Mathematical Theories Of Multi Porosity Media
DOWNLOAD
Author : Merab Svanadze
language : en
Publisher: Springer Nature
Release Date : 2019-11-01
Potential Method In Mathematical Theories Of Multi Porosity Media written by Merab Svanadze and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-01 with Mathematics categories.
This monograph explores the application of the potential method to three-dimensional problems of the mathematical theories of elasticity and thermoelasticity for multi-porosity materials. These models offer several new possibilities for the study of important problems in engineering and mechanics involving multi-porosity materials, including geological materials (e.g., oil, gas, and geothermal reservoirs); manufactured porous materials (e.g., ceramics and pressed powders); and biomaterials (e.g., bone and the human brain). Proceeding from basic to more advanced material, the first part of the book begins with fundamental solutions in elasticity, followed by Galerkin-type solutions and Green’s formulae in elasticity and problems of steady vibrations, quasi-static, and pseudo-oscillations for multi-porosity materials. The next part follows a similar format for thermoelasticity, concluding with a chapter on problems of heat conduction for rigid bodies. The final chapter then presents a number of open research problems to which the results presented here can be applied. All results discussed by the author have not been published previously and offer new insights into these models. Potential Method in Mathematical Theories of Multi-Porosity Media will be a valuable resource for applied mathematicians, mechanical, civil, and aerospace engineers, and researchers studying continuum mechanics. Readers should be knowledgeable in classical theories of elasticity and thermoelasticity.
Improperly Posed Problems In Partial Differential Equations
DOWNLOAD
Author : L. E. Payne
language : en
Publisher: SIAM
Release Date : 1975-06-01
Improperly Posed Problems In Partial Differential Equations written by L. E. Payne and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-06-01 with Mathematics categories.
A discussion of improperly posed Cauchy problems in partial differential equations
Thermal Stresses Advanced Theory And Applications
DOWNLOAD
Author : Richard B. Hetnarski
language : en
Publisher: Springer
Release Date : 2019-04-11
Thermal Stresses Advanced Theory And Applications written by Richard B. Hetnarski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-11 with Science categories.
This is an advanced modern textbook on thermal stresses. It serves a wide range of readers, in particular, graduate and postgraduate students, scientists, researchers in various industrial and government institutes, and engineers working in mechanical, civil, and aerospace engineering. This volume covers diverse areas of applied mathematics, continuum mechanics, stress analysis, and mechanical design. This work treats a number of topics not presented in other books on thermal stresses, for example: theory of coupled and generalized thermoelasticity, finite and boundary element method in generalized thermoelasticity, thermal stresses in functionally graded structures, and thermal expansions of piping systems. The book starts from basic concepts and principles, and these are developed to more advanced levels as the text progresses. Nevertheless, some basic knowledge on the part of the reader is expected in classical mechanics, stress analysis, andmathematics, including vector and cartesian tensor analysis. This 2nd enhanced edition includes a new chapter on Thermally Induced Vibrations. The method of stiffness is added to Chapter 7. The variational principle for the Green-Lindsay and Green-Naghdi models have been added to Chapter 2 and equations of motion and compatibility equations in spherical coordinates to Chapter 3. Additional problems at the end of chapters were added.