000 02730nam a22003618i 4500
001 CR9780511546167
003 UkCbUP
005 20230516164908.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090508s2007||||enk o ||1 0|eng|d
020 _a9780511546167 (ebook)
020 _z9780521842013 (hardback)
020 _z9781107406131 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aTA418
_b.C66 2007
082 0 0 _a620.1/1232015118
_222
100 1 _aConstantinescu, Andrei,
_eauthor.
_967968
245 1 0 _aElasticity with mathematica :
_ban introduction to continuum mechanics and linear elasticity /
_cAndrei Constantinescu, Alexander Korsunsky.
264 1 _aCambridge :
_bCambridge University Press,
_c2007.
300 _a1 online resource (ix, 255 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aKinematics : displacements and strains -- Dynamics and statics : stresses and equilibrium -- Linear elasticity -- General principles in problems of elasticity -- Stress functions -- Displacement potentials -- Energy principles and variational formulations -- Appendix 1 : differential operators -- Appendix 2 : Mathematica tricks -- Appendix 3 : plotting parametric meshes.
520 _aThis book, first published in 2007, introduces 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 elastostatic and spectral analysis problems. Containing more than 60 exercises and solutions in the form of Mathematica notebooks that accompany every chapter, the reader can learn and master the techniques while applying them to a large range of practical and fundamental problems.
650 0 _aElasticity
_xMathematical models.
_967969
700 1 _aKorsunsky, Alexander,
_eauthor.
_967970
776 0 8 _iPrint version:
_z9780521842013
856 4 0 _uhttps://doi.org/10.1017/CBO9780511546167
942 _cEBK
999 _c82195
_d82195