Introduction to Continuum Mechanics

• Author : W Michael Lai,Erhard Krempl,David Rubin
• Publisher : Elsevier
• Release : 28 June 2014

Introduction to Continuum Mechanics is a recently updated and revised text which is perfect for either introductory courses in an undergraduate engineering curriculum or for a beginning graduate course. Continuum Mechanics studies the response of materials to different loading conditions. The concept of tensors is introduced through the idea of linear transformation in a self-contained chapter, and the interrelation of direct notation, indicial notation, and matrix operations is clearly presented. A wide range of idealized materials are considered through simple

• Author : J. N. Reddy,Junuthula Narasimha Reddy
• Publisher : Cambridge University Press
• Release : 29 July 2013

This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.

• Author : Morton E. Gurtin
• Publisher : Academic Press
• Release : 12 January 1982

This book presents an introduction to the classical theories of continuum mechanics; in particular, to the theories of ideal, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. These theories are important, not only because they are applicable to a majority of the problems in continuum mechanics arising in practice, but because they form a solid base upon which one can readily construct more complex theories of material behavior. Further, although attention is limited to the

• Author : W. Michael Lai,David Rubin,Erhard Krempl
• Publisher : Pergamon
• Release : 24 September 1978

This revised text provides a clear introduction to modern continuum mechanics aimed at beginners in the field. The concept of tensors is introduced through the idea of linear transformation. The interrelation of direct notation, indicial notation of cartesian tensors, and matrix operations is clearly presented. A most useful feature of the book is the many worked examples (over 100) which fully illustrate the various aspects of the subject and both the student and lecturer will find the problems and answers (over 250)

• Author : Anthony John Roberts
• Publisher : World Scientific
• Release : 24 September 1994

Many textbooks on continuum mechanics plunge students in at the ?deep end? of three-dimensional analysis and applications. However a striking number of commonplace models of our physical environment are based entirely within the dynamics of a one-dimensional continuum. This introductory text therefore approaches the subject entirely within such a one-dimensional framework.The principles of the mathematical modeling of one-dimensional media constitute the book's backbone. These concepts are elucidated with a diverse selection of applications, ranging from tidal dynamics and dispersion

• Author : Andrei Constantinescu,Alexander Korsunsky
• Publisher : Cambridge University Press
• Release : 08 October 2007

This book is intended for researchers, engineers and students in solid mechanics, materials science and physics who are interested in using the power of modern computing to solve a wide variety of problems of both practical and fundamental significance in elasticity. Extensive use of Mathematica in the book makes available to the reader a range of recipes that can be readily adjusted to match particular tastes or requirements, to visualize solutions, and to carry out symbolic and numerical analysis and

• Author : Sudhakar Nair
• Publisher : Cambridge University Press
• Release : 16 March 2009

This textbook treats solids and fluids in a balanced manner, using thermodynamic restrictions on the relation between applied forces and material responses. This unified approach can be appreciated by engineers, physicists, and applied mathematicians with some background in engineering mechanics. It has many examples and about 150 exercises for students to practice. The higher mathematics needed for a complete understanding is provided in the early chapters. This subject is essential for engineers involved in experimental or numerical modeling of material behavior.

• Author : W. Michael Lai,David Rubin,Erhard Krempl
• Publisher : Butterworth-Heinemann
• Release : 01 January 1994

Introduction to Continuum Mechanics is a recently updated and revised text which is perfect for either introductory courses in an undergraduate engineering curriculum or for a beginning graduate course. Continuum Mechanics studies the response of materials to different loading conditions. The concept of tensors is introduced through the idea of linear transformation in a self-contained chapter, and the interrelation of direct notation, indicial notation, and matrix operations is clearly presented. A wide range of idealized materials are considered through simple

• Author : Yuan-cheng Fung
• Publisher : Pearson College Division
• Release : 24 September 1994

Revision of a classic text by a distinguished author. Emphasis is on problem formulation and derivation of governing equations. New edition features increased emphasis on applications. New chapter covers long-term changes in materials under stress.

• Author : Anthony James Merrill Spencer
• Publisher : Courier Corporation
• Release : 01 January 2004

Undergraduate text opens with introductory chapters on matrix algebra, vectors and Cartesian tensors, and an analysis of deformation and stress; succeeding chapters examine laws of conservation of mass, momentum, and energy as well as the formulation of mechanical constitutive equations. 1992 edition.

• Author : Fridtjov Irgens
• Publisher : Springer Science & Business Media
• Release : 10 January 2008

This book presents an introduction into the entire science of Continuum Mechanics in three parts. The presentation is modern and comprehensive. Its introduction into tensors is very gentle. The book contains many examples and exercises, and is intended for scientists, practitioners and students of mechanics.

• Author : Lee R. Calcote
• Publisher : Unknown
• Release : 24 September 1968

• Author : Ciprian D. Coman
• Publisher : Springer Nature
• Release : 02 November 2019

This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity. The material is self-contained and should provide readers sufficient working knowledge in both areas. Though the focus is primarily on vector and tensor calculus (the so-called coordinate-free approach), the more traditional index notation is used whenever it is deemed more sensible. With the increasing demand for continuum modeling in such diverse areas as mathematical biology and geology, it

• Author : I-Shih Liu
• Publisher : Unknown
• Release : 24 September 1988

• Author : Eduardo WV Chaves
• Publisher : Springer Science & Business Media
• Release : 13 June 2013

This publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately. The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations),