Mathematical Modeling Of Inelastic Deformation
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| Author | : J.F. Besseling |
| Publisher | : CRC Press |
| Total Pages | : 344 |
| Release | : 1994-05-15 |
| Genre | : Mathematics |
| ISBN | : 9780412452802 |
Mathematical Modeling of Inelastic Deformation details the mathematical modeling of the inelastic behavior of engineering materials. The authors use a thermodynamic approach to the subject and focus on crystalline materials, but not to the exclusion of macro-moleular solids. Within a unified theory for small and large deformations, they develop simple models, such as the elastic-perfectly plastic model, as well as complex models dealing with anisotropic hardening. The book includes finite element implementation of the theory and illustrates the implementation with examples from heat production and conduction processes.
| Author | : Roger Temam |
| Publisher | : Cambridge University Press |
| Total Pages | : 356 |
| Release | : 2005-05-19 |
| Genre | : Science |
| ISBN | : 1139443216 |
Temam and Miranville present core topics within the general themes of fluid and solid mechanics. The brisk style allows the text to cover a wide range of topics including viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear Schrödinger equation. This second edition will be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level whether in engineering, mathematics, physics or the applied sciences. Exercises and hints for solutions have been added to the majority of chapters, and the final part on solid mechanics has been substantially expanded. These additions have now made it appropriate for use as a textbook, but it also remains an ideal reference book for students and anyone interested in continuum mechanics.
| Author | : Ronaldo I. Borja |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 261 |
| Release | : 2013-06-14 |
| Genre | : Science |
| ISBN | : 3642385478 |
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.
| Author | : |
| Publisher | : Elsevier |
| Total Pages | : 495 |
| Release | : 1988-04-01 |
| Genre | : Technology & Engineering |
| ISBN | : 0080875416 |
This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.
| Author | : L. P. Lebedev |
| Publisher | : World Scientific |
| Total Pages | : 317 |
| Release | : 2009 |
| Genre | : Technology & Engineering |
| ISBN | : 9814273724 |
This book provides the general reader with an introduction to mathematical elasticity, by means of general concepts in classic mechanics, and models for elastic springs, strings, rods, beams and membranes. Functional analysis is also used to explore more general boundary value problems for three-dimensional elastic bodies, where the reader is provided, for each problem considered, a description of the deformation; the equilibrium in terms of stresses; the constitutive equation; the equilibrium equation in terms of displacements; formulation of boundary value problems; and variational principles, generalized solutions and conditions for solvability.Introduction to Mathematical Elasticity will also be of essential reference to engineers specializing in elasticity, and to mathematicians working on abstract formulations of the related boundary value problems.
| Author | : Francesco dell'Isola |
| Publisher | : Springer |
| Total Pages | : 327 |
| Release | : 2017-03-10 |
| Genre | : Science |
| ISBN | : 9811037647 |
This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics: mathematical modelling in solid, fluid and contact mechanics nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools mechanics of fibre-reinforced materials behaviour of elasto-plastic materials accounting for the microstructural defects definition of structural defects based on the differential geometry concepts or on the atomistic basis interaction between phase transformation and dislocations at nano-scale energetic arguments bifurcation and post-buckling analysis of elasto-plastic structures engineering optimization and design, global optimization and related algorithms The book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists.
| Author | : |
| Publisher | : |
| Total Pages | : 736 |
| Release | : 1969 |
| Genre | : Mechanics, Applied |
| ISBN | : |
| Author | : Konstantin Z. Markov |
| Publisher | : World Scientific |
| Total Pages | : 312 |
| Release | : 1994 |
| Genre | : Technology & Engineering |
| ISBN | : 9789810216443 |
This volume contains papers of leading experts in the modern continuum theory of composite materials. The papers expose in detail the newest ideas, approaches, results and perspectives in this broadly interdisciplinary field ranging from pure and applied mathematics, mechanics, physics and materials science. The emphasis is on mathematical modelling and model analysis of the mechanical behaviour and strength of composites, including methods of predicting effective macroscopic properties (dielectric, elastic, nonlinear, inelastic, plastic and thermoplastic) from known microstructures.
| Author | : Vratislav Kafka |
| Publisher | : World Scientific |
| Total Pages | : 248 |
| Release | : 2001 |
| Genre | : Technology & Engineering |
| ISBN | : 9789810244859 |
"This carefully written book, based to a large degree on original and new research, is an essential source of information for anyone dealing with property modeling aspects in modern materials science. It can be warmly recommended for graduate students and researchers in the respective fields." Ceramics - Silikaty, 2001
| Author | : M. Kojic |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 419 |
| Release | : 2005-07-28 |
| Genre | : Science |
| ISBN | : 3540265074 |
Inelastic Analysis of Solids and Structures presents in a unified manner the physical and theoretical background of inelastic material models and computational methods, and illustrates the behavior of the models in typical engineering conditions. The book describes experimental observations and principles of mechanics, and efficient computational algorithms for stress calculations as typically performed in finite element analysis. The theoretical background is given to an extent necessary to describe the commonly employed material models in metal isotropic and orthotropic plasticity, thermoplasticity and viscoplasticity, and the plasticity of geological materials. The computational algorithms are developed in a unified manner with some detailed derivations of the algorithmic relations. Many solved examples are presented, which are designed to give insight into the material behavior in various engineering conditions, and to demonstrate the application of the computational algorithms.
