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Title
Engineering elasticity : elasticity with less stress and strain / Humphrey Hardy.
ISBN
9783031091575 (electronic bk.)
3031091574 (electronic bk.)
9783031091568
3031091566
Published
Cham : Springer, [2022]
Copyright
©2022
Language
English
Description
1 online resource (xv, 271 pages)
Item Number
10.1007/978-3-031-09157-5 doi
Call Number
TA418
Dewey Decimal Classification
620.1/1232
Summary
This textbook aimed at upper-level undergraduate and graduate engineering students who need to describe the large deformation of elastic materials like soft plastics, rubber, and biological materials. The classical approaches to finite deformations of elastic materials describe a dozen or more measures of stress and strain. These classical approaches require an in-depth knowledge of tensor analysis and provide little instruction as to how to relate the derived equations to the materials to be described. This text, by contrast, introduces only one strain measure and one stress measure. No tensor analysis is required. The theory is applied by showing how to measure material properties and to perform computer simulations for both isotropic and anisotropic materials. The theory can be covered in one chapter for students familiar with Euler-Lagrange techniques, but is also introduced more slowly in several chapters for students not familiar with these techniques. The connection to linear elasticity is provided along with a comparison of this approach to classical elasticity. Explains ably simulation of materials undergoing large deformations Illustrates a simpler mathematical base to build thermodynamic and viscoelastic theories Describes how experimenters can make better numerical descriptions of deformable bodies.
Note
Includes index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed November 22, 2022).
Available in Other Form
Print version: 9783031091568
Getting ready (mostly review)
Deformations
Forces
Force-energy relationships
Isotropic materials
Minimizing energy
Simulations
Quasi-static simulation examples
The invariants
Experiments
Time dependent simulations
Anisotropic Materials
Plot deformation, displacements, and forces
Euler-Lagrange elasticity
Linear elasticity
Classical finite elasticity
Appendix A Deformation in jig coordinates
Appendix B Origins of Anisotropic Invariants
Appendix C Euler-Lagrange equations
Appendix D Project Ideas.
