Choose an application

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

"Material properties emerge from phenomena on scales ranging from Angstroms to millimeters, and only a multiscale treatment can provide a complete understanding. Materials researchers must therefore understand fundamental concepts and techniques from different fields, and these are presented in a comprehensive and integrated fashion for the first time in this book. Incorporating continuum mechanics, quantum mechanics, statistical mechanics, atomistic simulations and multiscale techniques, the book explains many of the key theoretical ideas behind multiscale modeling. Classical topics are blended with new techniques to demonstrate the connections between different fields and highlight current research trends. Example applications drawn from modern research on the thermo-mechanical properties of crystalline solids are used as a unifying focus throughout the text. Together with its companion book, Continuum Mechanics and Thermodynamics (Cambridge University Press, 2011), this work presents the complete fundamentals of materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering" (Source : Copac)

Materials --- Mathematical models --- Materials - Mathematical models

Choose an application

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

Geometry --- Strength of materials --- Stability --- Stabilité --- Mathematical models. --- Modèles mathématiques --- Stabilité --- Modèles mathématiques --- Mathematical models --- Strength of materials - Mathematical models --- Stability - Mathematical models

Choose an application

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

'Turbulence in Porous Media' introduces the reader to the characterisation of turbulent flow, heat and mass transfer in permeable media, including analytical data and a review of available experimental data. Such transport processes occurring a relatively high velocity in permeable media are present in a number of engineering and natural flows. This new edition features a completely updated text including two new chapters exploring Turbulent Combustion and Moving Porous Media. De Lemos has expertly brought together a text that compiles, details, compares and evaluates available methodologie

Dynamics. --- Heat - Transmission - Mathematical models. --- Heat -- Transmission -- Mathematical models. --- Mass transfer - Mathematical models. --- Porous materials - Mathematical models. --- Porous materials -- Mathematical models. --- Turbulence - Mathematical models. --- Turbulence -- Mathematical models. --- Turbulence --- Porous materials --- Heat --- Mass transfer --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Mathematical models --- Transmission --- Mathematical models. --- Porous media --- Materials --- Porosity

Choose an application

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

Inhomogeneity theory is of importance for the description of a variety of material phenomena, including continuous distributions of dislocations, fracture mechanics, plasticity, biological remodelling and growth and, more generally, all processes that entail changes in the material body driven by forces known in literature as material or configurational. This monograph presents a unified treatment of the theory using some of the tools of modern differential geometry. The first part of the book deals with the geometrical description of uniform bodies and their homogeneity (i.e., integrability) conditions. In the second part, a theory of material evolution is developed and its relevance in various applied contexts discussed. The necessary geometrical notions are introduced as needed in the first two parts but often without due attention to an uncompromising mathematical rigour. This task is left for the third part of the book, which is a highly technical compendium of those concepts of modern differential geometry that are invoked in the first two parts (differentiable manifolds, Lie groups, jets, principal fibre bundles, G-structures, connections, frame bundles, integrable prolongations, groupoids, etc.). To make the text as useful as possible to active researchers and graduate students, considerable attention has been devoted to non-standard topics, such as second-grade materials, Cosserat media and functionally graded bodies.

Inhomogeneous materials --- Geometry, Differential. --- Géométrie différentielle --- Mathematical models. --- Inhomogeneous materials -- Mathematical models. --- Inhomogeneous materials. --- Geometry, Differential --- Physics --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Atomic Physics --- Materials Science --- Applied Mathematics --- Mathematical models --- Differential geometry --- Heterogeneous materials --- Inhomogeneous media --- Media, Inhomogeneous --- Engineering. --- Applied mathematics. --- Engineering mathematics. --- Mechanics. --- Continuum mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Appl.Mathematics/Computational Methods of Engineering. --- Applications of Mathematics. --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Engineering --- Engineering analysis --- Mathematical analysis --- Construction --- Industrial arts --- Technology --- Mathematics --- Materials --- Matter --- Mechanics, Applied. --- Mathematics. --- Solid Mechanics. --- Mathematical and Computational Engineering. --- Classical Mechanics. --- Math --- Science --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics

Choose an application

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

Computational Methods in Elasticity and Plasticity: Solids and Porous Media presents the latest developments in the area of elastic and elasto-plastic finite element modeling of solids, porous media and pressure-dependent materials and structures. The book covers the following topics in depth: the mathematical foundations of solid mechanics, the finite element method for solids and porous media, the theory of plasticity and the finite element implementation of elasto-plastic constitutive models. The book also includes: -A detailed coverage of elasticity for isotropic and anisotropic solids. -A detailed treatment of nonlinear iterative methods that could be used for nonlinear elastic and elasto-plastic analyses. -A detailed treatment of a kinematic hardening von Mises model that could be used to simulate cyclic behavior of solids. -Discussion of recent advances in the analysis of porous media and pressure-dependent materials in more detail than other books currently available.   Computational Methods in Elasticity and Plasticity: Solids and Porous Media  also contains problem sets, worked examples and  a solutions manual for instructors.

Elasticity -- Mathematical models. --- Elastoplasticity -- Mathematical models. --- Finite element method. --- Porous materials -- Mathematical models. --- Solids -- Mathematical models. --- Elasticity --- Elastoplasticity --- Porous materials --- Solids --- Finite element method --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Civil Engineering --- Applied Mathematics --- Mathematical models --- Plasticity --- Mathematical models. --- Porous media --- Elastic properties --- Young's modulus --- Engineering. --- Computer mathematics. --- Mechanics. --- Mechanics, Applied. --- Continuum mechanics. --- Theoretical and Applied Mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Computational Mathematics and Numerical Analysis. --- Materials --- Porosity --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Properties --- Mechanics, applied. --- Computer science --- Solid Mechanics. --- Mathematics. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Mathematics