Solutions To Engineering Problems Using Computational Mechanics
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Solutions to Engineering Problems Using Computational Mechanics
This book mainly focuses on the major area: Computational Mechanics. Computational mechanics is widely used in nanomechanics and micromechanics, continuum mechanics, and many other mechanical systems. The main focus throughout this book will be to address methods concerning the field of continuum mechanics. Continuum mechanics studies bodies at the macroscopic level by developing continuum models with a homogenized microstructure. The two traditional areas of application are solid and thermal-fluid mechanics.Over the past century, energy and variational principles have become popular methods when obtaining approximate solutions to practical problems in applied mechanics. In addition, these methods enable engineers to carry out more effective simulations. In fact, most simulation and computation software are based upon concepts from energy and variational approaches.This book combines the essential ideas and methods behind current energy applications and variational theory in theoretical, applied mechanics. The emphasis is on understanding physical and computational applications of variational methodology rather than on rigorous mathematical formalism.Although there are some excellent books for engineering analysis using variational techniques to solve engineering problems, in this manuscript, we intend to guide the reader through the classical topics of energy and variational principles through the fundamental concepts to the extent of a first-year graduate student. What makes this book distinct from all others is that students usually grasp abstract and complex formulations through problem-solving, which is the major strength of this book.This book is intended to provide a theoretical and practical foundation for approximations to differential equations, including the finite element method. The target audience is first-year graduate students who have had little exposure to energy and variational principles. Practicing engineers will also benefit from the approach of this manuscript as they will be able to learn the theoretical aspects of typical approximation methods such as the finite element methods, basically, by their own. Thus, we can assure that this book will fill up a void in the personal library of many engineers who are trying to, or planning, to these methods in their next analysis.
Nonlinear Computational Structural Mechanics
Author: Pierre Ladeveze
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Mechanical Engineering, an engineering discipline borne of the needs of the in dustrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face profound issues of pro ductivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series features graduate texts and research mono graphs intended to address the need for information in contemporary areas ofme chanical engineering. The series is conceived as a comprehensive one that covers a broad range of concentrations important to mechanical engineering graduate education and re search. We are fortunate to have a distinguished roster ofconsulting editors on the advisory board, each an expert in one ofthe areas ofconcentration. The names of the consulting editors are listed on the next page of this volume. The areas of concentration are applied mechanics, biomechanics, computational mechanics, dynamic systems and control, energetics, mechanics ofmaterials, processing, ther mal science, and tribology. Frederick A. Leckie,the series editor for applied mechanics, and I are pleased to presentthis volume in the Series: Nonlinear Computational Structural Mechan ics: New Approaches and Non-Incremental Methods of Calculation, by Pierre Ladeveze. The selection of this volume underscores again the interest of the Me chanical Engineering series to provide our readers with topical monographs as well as graduate texts in a wide variety of fields.
Classical And Computational Solid Mechanics (Second Edition)
Author: Yuen-cheng Fung
language: en
Publisher: World Scientific Publishing Company
Release Date: 2017-05-25
The second edition provides an update of the recent developments in classical and computational solid mechanics. The structure of the book is also updated to include five new areas: Fundamental Principles of Thermodynamics and Coupled Thermoelastic Constitutive Equations at Large Deformations, Functional Thermodynamics and Thermoviscoelasticity, Thermodynamics with Internal State Variables and Thermo-Elasto-Viscoplasticity, Electro-Thermo-Viscoelasticity/Viscoplasticity, and Meshless Method. These new topics are added as self-contained sections or chapters. Many books in the market do not cover these topics.This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives the first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions.