This book examines the issues across the breadth of elasticity
theory. Firstly, the underpinning mathematics of vectors and
matrices is covered. Thereafter, the equivalence between the
inidicial, symbolic and matrix notations used for tensors is
illustrated in the preparation for specific types of material
behaviour to be expressed, usually as a response function from
which a constitutive stress-strain relation follow.Mechanics of
Elastic Solids shows that the elastic response of solid materials
has many forms. Metals and their alloys confirm dutifully to
Hooke's law. Non-metals do not when the law connecting stress to
strain is expressed in polynomial, exponential and various
empirical, material specific forms. Hyper- and hypo- elasticity
theories differ in that the former is restricted to its
thermodynamic basis while the latter pervades many an observed
response with its release from thermal restriction, but only at the
risk of contravening the laws of thermodynamics.This unique
compendium is suitable for a degree or diploma course in
engineering and applied mathematics, as well as postgraduate and
professional researchers.
General
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