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Elastic waves. --- Ondes élastiques. --- Choc (mecanique) --- Impact --- Elasticite
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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
Elasticity. --- Elastic plates and shells. --- Élasticité --- Milieux continus, Mécanique des --- Elastic shells --- Plates, Elastic --- Shells, Elastic --- Elastic waves --- Elasticity --- Plasticity --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Properties --- Plaque
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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.
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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