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to Continuum Mechanics - after Truesdell and Noll by DONALD R. SMITH University of California -San Diego, Department of Mathematics, La Jolla, U. S. A. SPRINGER-SCIENCE+BUSINESS MEDIA, B. V. Library ofCongress Cataloging-in-Publication Data Smlth. Dona ld R. An introductlon to continuum mechanlcs ! by Donald R. Smlth. p. cm. -- . 24 0. 4 Gradients of Principal Invariants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 38 0. 5 Chain Rules of Differentiation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 0. 6 Gradient of a Field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 0.
List of contents
0: Preliminary Results.- 1: Framings.- 2: Bodies and Motions.- 3: Kinematics.- 4: The Cauchy Stress Tensor.- 5: Examples on Stress Constitutive Relations.- 6: Noll's Simple Material.- 7: Internally Constrained Materials.- 8: Material Classification from Symmetry.- 9: Canonical Stress Functions for Isotropic Materials.- 10: Classical Infinitesimal Theory of Elasticity.- 11: Shear of an Isotropic Elastic Rectangular Block.- 12: Torsion of an Isotropic Elastic Circular Cylinder.- References.- Quotation References.- Name Index.
Summary
Provides an introduction to rational continuum mechanics in a form suitable for students of engineering, mathematics and science. This book focuses on the simplest case of the classical mechanics of nonpolar materials.
