文档介绍：PAB CUFX161-Constantinescu August 13, 2007 17:14
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PAB CUFX161-Constantinescu August 13, 2007 17:14
Elasticity with MATHEMATICA R
This book gives an introduction to the key ideas and principles in the theory of elas-
ticity with the help of putation. Differential and integral operators
on vector and tensor fields of displacements, strains, and stresses are considered
on a consistent and rigorous basis with respect to curvilinear orthogonal coordi-
nate systems. As a consequence, vector and tensor objects can be manipulated
readily, and fundamental concepts can be illustrated and problems solved with
ease. The method is illustrated using a variety of plane and three-dimensional elas-
tic problems. General theorems, fundamental solutions, displacements, and stress
potentials are presented and discussed. The Rayleigh-Ritz method for obtaining
approximate solutions is introduced for elastostatic and spectral analysis problems.
The book contains more than 60 exercises and solutions in the form of Mathemat-
ica notebooks that pany every chapter. Once the reader learns and masters
the techniques, they can be applied to a large range of practical and fundamental
problems.
Andrei Constantinescu is currently Directeur de Recherche RS: the French
National Center for Scientific Research in the Laboratoire de Mecanique des
Solides, and Associated Professor at Ecole´ Polytechnique, Palaiseau, near Paris. He
teaches courses on continuum mechanics, elasticity, fatigue, and inverse problems
at engineering schools from the ParisTech Consortium. His research is in applied
mechanics and covers areas ranging from inverse problems and the identification
of defects and constitutive laws to fatigue and lifetime prediction of structures. The
results have applied through collaboration and consulting panies such as
the car manufacturer Peugeot-Citroen, energy providers Electricit´ edeFranceand´
Gaz de Franc