Solid Mechanics: Theory, Modeling, and Problems

ISBN-13: 9783319360034 / Angielski / Miękka / 2016 / 318 str.

Albrecht Bertram; Rainer Gluge

Opis

This textbook offers an introduction to modeling the mechanical behavior of solids within continuum mechanics and thermodynamics. Once the reader is equipped with these essential mathematical tools, the third part of the book develops the foundations of continuum mechanics right from the beginning.

Recenzje

"This is one of a few textbooks on mathematically modeling the physical behavior of classical materials under the mechanical effects within the linear theory of continuum mechanics, and it comprises four chapters with selected references and sample examples, and an index. ... The textbook is very comprehensive, well documented to the interested reader and highly recommended to students, teachers and researchers." (M. Cengiz Dökmeci, zbMATH, Vol. 1366.74001, 2017)

Spis treści

One-Dimensional Material Theory.- Introduction To Tensor Calculus.- Vector And Tensor Analysis.- Foundations Of Continuum Mechanics.- Three-Dimensional Material Theory.

O autorze

Albrecht Bertram, born in 1950, is professor for engineering mechanics at the University of Magdeburg and the Technical University of Berlin. He was visiting professor at Paris Tech and the University of California in Berkeley. His field of research is continuum mechanics and in particular, material modeling (elasticity, plasticity, viscoelasticity, damage, anisotropy, micro-macro, gradient materials, etc.). He is editor of the journal Technische Mechanik and initiator of the series International Conferences on Material Modeling.

Rainer Glüge, born in 1980, is a researcher, tutor and lecturer in the field of continuum mechanics and material modeling in the same group. His research interests are the theory of composites, scale bridging methods between micro- and macro scale, material modeling of phase transitions in solids and the nonlinear theory of elasticity.

Blurb

This textbook offers an introduction to modeling the mechanical behavior of solids within continuum mechanics and thermodynamics. To illustrate the fundamental principles, the book starts with an overview of the most important models in one dimension. Tensor calculus, which is called for in three-dimensional modeling, is concisely presented in the second part of the book. Once the reader is equipped with these essential mathematical tools, the third part of the book develops the foundations of continuum mechanics right from the beginning. Lastly, the book’s fourth part focuses on modeling the mechanics of materials and in particular elasticity, viscoelasticity and plasticity. Intended as an introductory textbook for students and for professionals interested in self-study, it also features numerous worked-out examples to aid in understanding.