000 02703cam a2200337 i 4500
999 _c6897
_d6897
001 14809632
005 20201122133238.0
008 070416s2007 enka b 001 0 eng
010 _a 2007015321
020 _a9780521842013 (hardback)
020 _a0521842018 (hardback)
040 _aDLC
_cDLC
_dYDX
_dBAKER
_dBTCTA
_dYDXCP
_dDLC
_erda
050 0 0 _aTA418
_b.C66 2007
082 0 0 _a620.11232015118
_222
_bC.A.E
100 1 _aConstantinescu, Andrei.
_eauthor.
245 1 0 _aElasticity with mathematica :
_ban introduction to continuum mechanics and linear elasticity /
_cAndrei Constantinescu, Alexander Korsunsky.
264 1 _aCambridge : New York :
_bCambridge University Press,
_c2007.
300 _aix, 255 pages :
_billustrations ;
_c27 cm
336 _2rdacontent
_atext
337 _2rdamedia
_aunmediated
338 _2rdacarrier
_avolume
504 _aIncludes bibliographical references (pages 249-250) and index.
505 0 _aPreface -- 1. Kinematics: displacements and strains -- 2. Dynamics and statics: stresses and equilibrium -- 3. Linear elasticity -- 4. General principles in problems of elasticity -- 5. Stress functions -- 6. Displacement potentials -- 7. Energy principles and variational formulations -- Appendix 1. Differential operators -- Appendix 2. Mathematica tricks -- Appendix 3. Plotting parametric meshes -- Bibliography -- Index.
520 _aThis book gives an introduction to the key ideas and principles in the theory of elasticity with the help of symbolic computation. 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 coordinate 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 elastic problems. General theorems, fundamental solutions, displacements and stress potentials are presented and discussed. The Rayleigh-Ritz method for obtaining approximate solutions is introduced for electrostatic and spectral analysis problems. The book contains more than 60 exercises and solutions in the form of Mathematica notebooks that accompany every chapter. Once the reader learns and masters the techniques, they can be applied to a large range of practical and fundamental problems.
650 0 _aElasticity
_xMathematical models.
700 1 _aKorsunsky, Alexander.
_eauthor.
856 _3Abstract
_uhttp://repository.fue.edu.eg/xmlui/handle/123456789/3956
942 _cBK
_2ddc