Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

Elasticity --- Elasticité --- ELSEVIER-B EPUB-LIV-FT --- Elasticity. --- Mathematical physics. --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Properties --- Elastic plates and shells. --- Elastic shells --- Plates, Elastic --- Shells, Elastic --- Elastic waves --- Plasticity --- Mécanique --- Mécanique --- Elasticite non-lineaire --- Methode variationnelle

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Mathematical analysis --- Numerical analysis --- Finite element method --- Elasticity --- 519.6 --- 681.3 *G18 --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Isogeometric analysis --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Properties --- Finite element method. --- Elasticity. --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Analyse numérique. --- Éléments finis, Méthode des --- Équations aux dérivées partielles

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book describes the theoretical foundations of inelasticity, its numerical formulation and implementation. The subject matter described herein constitutes a representative sample of state-of-the- art methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimization theory, integration algorithms for the constitutive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalization of the theory to non-smooth yield surface, mathematical numerical analysis issues of general return mapping algorithms, the generalization to finite-strain inelasticity theory, objective integration algorithms for rate constitutive equations, the theory of hyperelastic-based plasticity models and small and large deformation viscoelasticity. Computational Inelasticity will be of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.

Viscoelasticity. --- Viscoélasticité --- 539.31 --- 532.12 --- 532.13 --- Generalities. Elastic forces. Elastic potential. Elastic region. Elastic limit --- Compressibility. Elasticity --- Internal friction. Viscosity --- 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) --- 532.13 Internal friction. Viscosity --- 532.12 Compressibility. Elasticity --- 539.31 Generalities. Elastic forces. Elastic potential. Elastic region. Elastic limit --- 681.3 *G18 --- Mathematics. --- Algorithms. --- Physics. --- Theoretical, Mathematical and Computational Physics. --- Elasticity --- Viscoelasticity --- Continuum mechanics --- Viscosity --- Relaxation phenomena --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Properties --- Elasticity. --- Mathematical physics. --- Physical mathematics --- Physics --- Algorism --- Algebra --- Arithmetic --- Mathematics --- Foundations --- Finite element method. --- Analyse numérique --- Analyse numérique --- Numerical modelling --- Plastic analysis --- Solid mechanics --- Viscoelastic theory