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This book presents computational procedures for the stress integration of inelastic constitutive relations within the incremental-iterative finite element analysis and general strain-driven problems of solids and structures. The book gives the physical and theoretical foundations of inelastic material models commonly used in engineering practice, and focuses on the formulation of robust, efficient and accurate computational algorithms for the response solution of 2-D and 3-D solids, shells, and beam and pipe structures. The algorithms are based on the concept that the implicit stress integration can frequently be reduced to the solution of a single nonlinear equation (an equation for a governing parameter). Many solved engineering examples illustrate the effectiveness of the computational procedures and elucidate inelastic material behavior. The computational schemes can be used for further developments of stress integration algorithms in topics of inelastic material modeling not included in the book.
Plastic analysis (Engineering) --- Algorithms. --- Plasticity. --- Cohesion --- Deformations (Mechanics) --- Elasticity --- Plastics --- Rheology --- Algorism --- Algebra --- Arithmetic --- Analysis, Plastic --- Limit analysis (Engineering) --- Plastic analysis (Theory of structures) --- Ultimate strength analysis --- Structural analysis (Engineering) --- Foundations --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Classical Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Mecanique des materiaux --- Structure des materiaux
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One of the most important subjects for any student of engineering or materials to master is the behaviour of materials and structures under load. The way in which they react to applied forces, the deflections resulting and the stresses and strains set up in the bodies concerned are all vital considerations when designing a mechanical component such that it will not fail under predicted load during its service lifetime.Building upon the fundamentals established in the introductory volume Mechanics of Materials 1, this book extends the scope of material covered into more complex areas
Strength of materials. --- Résistance des matériaux --- Engineering --- Mechanical Engineering --- Materials --- Mechanical behavior of materials --- Mechanical properties of materials --- Mechanics --- Architectural engineering --- Engineering, Architectural --- Materials, Strength of --- Resistance of materials --- Building materials --- Flexure --- Testing --- Elasticity --- Graphic statics --- Strains and stresses --- Mechanical properties. --- Mechanical behavior --- Elasticity. --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strength of materials --- Properties --- Mecanique des materiaux
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Finite element method --- Structural analysis (Engineering) --- Méthode des éléments finis --- Constructions, Théorie des --- Data processing --- Informatique --- 517.96 --- #KVIV:BB --- 517.96 Finite differences. Functional and integral equations --- Finite differences. Functional and integral equations --- eindige elementen --- structuuranalyse --- Data processing. --- Non - linearity --- STRUCTURES --- GEOMETRY --- SOLIDS --- Fortran - computer programs --- Monograph --- Continuum mechanics --- Buildings. --- Solids. --- Solid state physics --- Transparent solids --- Edifices --- Halls --- Structures --- Architecture --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Geometry. --- Mathematics --- Euclid's Elements --- Éléments finis, Méthode des --- Finite element method. --- Analyse numérique --- Constructions, Théorie des --- Shells (Engineering) --- Analyse numérique --- Éléments finis, Méthode des. --- Element non lineaire --- Mecanique des materiaux --- Numerical modelling
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