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Violent surface motion : discussion held 16 and 17 April 1996
Authors: --- --- ---
Year: 1997 Publisher: London : The Royal Society,

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Mathematical elasticity.
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ISBN: 9780444825704 0444825703 9780080535913 0080535917 9786611058463 1281058467 Year: 1997 Publisher: Amsterdam New York New York, N.Y., U.S.A.

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The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love theory; the convergence of stress is also established. In the no

Finite elements : theory, fast solvers, and applications in solid mechanics
Authors: ---
ISBN: 0521581877 0521588340 Year: 1997 Publisher: Cambridge Cambridge University press

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The most important application of the finite element method is the numerical solution of elliptical partial differential equations. This is covered in depth in this book. It is a textbook for graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite elements for engineering or mathematics applications.

Keywords

Finite element method. --- Elasticity --- Méthode des éléments finis --- Elasticité --- Mathematical models. --- Modèles mathématiques --- #KVIV:BB --- 681.3 *G18 --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Finite element method --- Eléments finis, Méthode des --- Mathematical models --- Méthode des éléments finis --- Elasticité --- Modèles mathématiques --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Properties --- Éléments finis, Méthode des. --- Élasticité --- Modèles mathématiques. --- Difference methods --- Solid mechanics --- NUMERICAL SOLUTION --- Nonconforming method --- MATHEMATICS --- ENGINEERING --- Elliptical potential differential equations --- DIFFERENTIAL EQUATIONS --- Hyperelastic materials --- Conjugate gradient method --- Elasticity theory --- Multigrid method --- FINITE ELEMENTS --- SOLIDS --- MEMBRANES --- PDE ' s --- Monograph --- Mathematics. --- Engineering. --- Differential equations. --- Solids. --- Solid state physics --- Transparent solids --- Equations, Differential --- Bessel functions --- Calculus --- Construction --- Industrial arts --- Technology --- Math --- Science

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