Open AccessBook
Introduction to continuum mechanics
W. Michael Lai,David Rubin,Erhard Krempl +2 more
- Iss: 1
TLDR
This new edition offers expanded coverage of the subject matter both in terms of details and contents, providing greater flexibility for either a one or two-semester course in either continuum mechanics or elasticity, and contains expanded and improved problem sets providing both intellectual challenges and engineering applications.Abstract:
Continuum Mechanics is a branch of physical mechanics that describes the macroscopic mechanical behavior of solid or fluid materials considered to be continuously distributed. It is fundamental to the fields of civil, mechanical, chemical and bioengineering. This time-tested text has been used for over 35 years to introduce junior and senior-level undergraduate engineering students, as well as graduate students, to the basic principles of continuum mechanics and their applications to real engineering problems. The text begins with a detailed presentation of the coordinate invariant quantity, the tensor, introduced as a linear transformation. This is then followed by the formulation of the kinematics of deformation, large as well as very small, the description of stresses and the basic laws of continuum mechanics. As applications of these laws, the behaviors of certain material idealizations (models) including the elastic, viscous and viscoelastic materials, are presented. This new edition offers expanded coverage of the subject matter both in terms of details and contents, providing greater flexibility for either a one or two-semester course in either continuum mechanics or elasticity. Although this current edition has expanded the coverage of the subject matter, it nevertheless uses the same approach as that in the earlier editions - that one can cover advanced topics in an elementary way that go from simple to complex, using a wealth of illustrative examples and problems. It is, and will remain, one of the most accessible textbooks on this challenging engineering subject. It offers significantly expanded coverage of elasticity in Chapter 5, including solutions of some 3-D problems based on the fundamental potential functions approach. It includes a new section at the end of Chapter 4 devoted to the integral formulation of the field equations. Seven new appendices appear at the end of the relevant chapters to help make each chapter more self-contained. This book contains expanded and improved problem sets providing both intellectual challenges and engineering applications.read more
Citations
More filters
Journal ArticleDOI
Cohesive Zone Models: A Critical Review of Traction-Separation Relationships Across Fracture Surfaces
TL;DR: In this article, potential-based models have been evaluated for mixed-mode cohesive fracture, and it is shown that these models lead to positive stiffness under certain separation paths, contrary to general cohesive fracture phenomena wherein the increase of separation generally results in the decrease of failure resistance across the fracture surface.
Journal ArticleDOI
Segmented lateral dyke growth in a rifting event at Bárðarbunga volcanic system, Iceland
Freysteinn Sigmundsson,Andrew Hooper,Sigrún Hreinsdóttir,Kristín Vogfjörd,Benedikt G. Ófeigsson,Elías Rafn Heimisson,Stéphanie Dumont,Michelle Parks,Karsten Spaans,Gunnar B. Gudmundsson,Vincent Drouin,Thóra Árnadóttir,Kristín Jónsdóttir,Magnús T. Gudmundsson,Thórdís Högnadóttir,Hildur M. Fridriksdottir,Hildur M. Fridriksdottir,Martin Hensch,Páll Einarsson,Eyjólfur Magnússon,Sergey Samsonov,Bryndís Brandsdóttir,Robert S. White,Thorbjörg Ágústsdóttir,Tim Greenfield,Robert G. Green,Ásta Rut Hjartardóttir,Rikke Pedersen,Richard A. Bennett,Halldór Geirsson,Peter C. La Femina,Helgi Björnsson,Finnur Pálsson,Erik Sturkell,Christopher J. Bean,Martin Möllhoff,Aoife Braiden,Eva P. S. Eibl +37 more
TL;DR: Lateral dyke growth with segment barrier breaking by pressure build-up in the dyke distal end explains how focused upwelling of magma under central volcanoes is effectively redistributed over long distances to create new upper crust at divergent plate boundaries.
Journal ArticleDOI
A Comparative Study of Several Material Models for Prediction of Hyperelastic Properties: Application to Silicone-Rubber and Soft Tissues
TL;DR: In this paper, the authors used a computational/experimental scheme, for the study of the nonlinear mechanical behaviour of biological soft tissues under uniaxial tension, and obtained the material constants for seven different hyperelastic material models via inverse methods.
Journal ArticleDOI
Origami-inspired active structures: a synthesis and review
TL;DR: This article is a survey and analysis of prior work on active self-folding structures as well as methods and tools available for the design of folding structures in general and self- folded structures in particular to provide researchers and practitioners with a systematic view of the state-of-the-art.