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Mathematics --- Élasticité --- Mathématiques --- Differential equations, Partial --- Numerical solutions.

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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

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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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Plasticity --- Calculus of variations --- 539.3 --- 517.97 --- Elasticity --- 51-74 --- 681.3*J2 --- Cohesion --- Deformations (Mechanics) --- Plastics --- Rheology --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Strains and stresses --- Strength of materials --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Elasticity. Deformation. Mechanics of elastic solids --- Calculus of variations. Mathematical theory of control --- Mathematics--?-74 --- Physical sciences and engineering (Computer applications) --- Properties --- Calculus of variations. --- Elasticity. --- Plasticity. --- 681.3*J2 Physical sciences and engineering (Computer applications) --- 51-74 Mathematics--?-74 --- 517.97 Calculus of variations. Mathematical theory of control --- 539.3 Elasticity. Deformation. Mechanics of elastic solids --- Élasticité. --- Systèmes linéaires. --- Linear systems --- Torsion (mécanique) --- Torsion

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L'analyse des structures et milieux continus, discipline fondamentale pour l'ingénieur, intervient tant dans la conception d'un ouvrage que dans son calcul détaillé. Faisant suite au volume 1, Statique appliquée, la Mécanique des structures, matière riche et féconde, conduit au dimensionnementdes éléments structuraux. Pour construire, l'ingénieur doit posséder une connaissance aiguë despropriétés mécaniques des matériaux, du jeu des contraintes internes, de la déformation de la matière, de la sécurité et des dangers attachés à certaines sollicitations. Ces notions sont présentées dans ce livre sur la base des structures en barres, poutres et câbles avant tout, en se limitant à l'essentiel et au concret. Assorti de nombreux exercices, ce livre s'adresse aux étudiants du premier cycle universitaire ainsi qu'aux ingénieurs praticiens. Il constitue le deuxième volet d'une série d'ouvrages consacrés à l'analyse des structures et mileux continus.

Structural analysis (Engineering) --- Strength of materials --- Deformations (Mechanics) --- Continuum mechanics --- Constructions, Théorie des --- Résistance des matériaux --- Déformations (Mécanique) --- Milieux continus, Mécanique des --- Génie mécanique --- Mechanical engineering --- Résistance mécanique --- Strength --- Propriété mécanique --- Mechanical properties --- Matériau de construction --- Construction materials --- Élasticité --- Elasticity --- Propriété rhéologique --- Rheological properties --- Constructions, Théorie des --- Résistance des matériaux --- Déformations (Mécanique) --- Milieux continus, Mécanique des --- Déformations (mécanique) --- Mechanics, Applied --- Mécanique appliquée --- Ventilation --- Commande, Théorie de la. --- Monograph --- Civil engineering --- Génie civil --- #KVIV:BB --- Building construction --- Building components --- Dimensions. --- Dimensions --- Stability --- Building, Iron and steel --- Construction metallique --- Fluid flow --- Hydraulic engineering --- Hydrodynamique --- Hydrodynamics --- Fluid mechanics --- Concrete --- Construction --- Écologie des forêts. --- Constructions --- Bois --- Assemblages (construction) --- Foresterie --- Construction en bois --- Stabilité. --- Détérioration. --- Aspect économique --- Propriétés mécaniques. --- Conception et construction --- Normes. --- Rivers --- canals --- Measurement --- Mécanique des milieux continus --- Méthode des éléments finis --- Charges permanentes --- Théorie des constructions --- Structure --- Mécanique --- Construction métallique --- Dimensionnement --- Ecoulement non permanent --- Hydraulique --- Construction métallique --- Building, Wooden. --- Building --- Details. --- Détails --- Construction en béton --- Structures (construction) --- Hysdraulic structures --- Ouvrages hydrauliques --- Technologie fluviale. --- Assemblage --- Bois d'oeuvre --- Forêt --- Matériau --- Pont --- Structure en bois --- Technologie --- Acier --- Aluminium --- Assemblage, technique --- Béton --- Element de construction --- Construction en béton --- Béton architectonique --- Béton armé --- Béton précontraint --- Colonne --- Processus de conception --- Dalle --- Détail de construction --- Fondations --- Mur --- Pathologie de la construction --- Aspect économique --- Propriétés mécaniques. --- Prestressed concrete. --- Reinforced concrete. --- Finite element method --- Dead loads (Mechanics) --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Structural engineering --- Loading, Static --- Static loads --- Loads (Mechanics) --- Materials, Strength of --- Resistance of materials --- Building materials --- Flexure --- Mechanics --- Testing --- Graphic statics --- Strains and stresses --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Mechanics of continua --- Mechanics, Analytic --- Field theory (Physics) --- Génie civil. --- 69 --- 69 Bouwbedrijf. Bouwmaterialen. Praktijk en procedures in de bouwnijverheid --- Bouwbedrijf. Bouwmaterialen. Praktijk en procedures in de bouwnijverheid --- 69 Building (construction) trade. Building materials. Building practice and procedure --- Building (construction) trade. Building materials. Building practice and procedure --- Écologie des forêts. --- Stabilité --- Détérioration. --- Écoulement permanent --- Fluides, mécanique des --- Beams --- Structure métallique --- Structural design --- Dimensionnement (ingénierie) --- Calcul