Engineering Elasticity

Elasticity with less Stress and Strain

Humphrey Hardy (Autor)

Buch | Hardcover

XV, 271 Seiten

2022 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-031-09156-8 (ISBN)

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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.

Dr. Humphrey Hardy is a retired Professional Engineer and Engineering Professor. He has 24 years of industry research in oil industry and 18 years of teaching undergraduate physics to engineering and physics students.

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.

Erscheinungsdatum	12.11.2022
Zusatzinfo	XV, 271 p. 1 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	606 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Mechanik
Themenwelt	Technik ► Maschinenbau
Schlagworte	Continuum Mechanics • finite deformations • finite elasticity • Mechanical Testing • non-linear solid mechanics • Numerical Simulation of Finite Deformation • Rubber elasticity
ISBN-10	3-031-09156-6 / 3031091566
ISBN-13	978-3-031-09156-8 / 9783031091568
Zustand	Neuware