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Contact mechanics. --- Contact problems (Mechanics) --- Mechanics, Contact --- Mechanics, Applied

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Contact mechanics. --- Contact problems (Mechanics) --- Mechanics, Contact --- Mechanics, Applied

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This is the first volume in the field of mechanics which presents a unified method solution of contact and crack problems for a transversely isotropic elastic body. Layered media subjected to punches and cracks are also considered.Complete descriptions of the fields of stresses and strain are given, often in terms of elementary functions. Numerical methods for solving various contact and crack problems are described and accurate numerical results are presented, as necessary bench marks.The book will be of interest to graduate students in the field of mechanical and civil engineering as well as

Elasticity. --- Fracture mechanics. --- Boundary value problems. --- Contact mechanics --- Mathematical models.

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This special topic volume is a compilation of works contributed by experts from the international scientific community in the field of Wear and Contact Mechanics. This volume presents ten papers that cover different aspects of the current areas of research in Wear and Contact Mechanics using new innovative theoretical and computational approaches based on the Finite Element Methods (FEM) and/or the Boundary Element Methods (BEM). A number of topics are addressed, such as anisotropic contact, anisotropic wear, crack-face contact and semi-permeable electric/magnetic boundary conditions in multif

Contact mechanics --- Contact problems (Mechanics) --- Mechanics, Contact --- Mechanics, Applied --- Mathematical models.

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This book contains a systematical analysis of geometrical situations  leading to  contact pairs -- point-to-surface, surface-to-surface, point-to-curve, curve-to-curve and curve-to-surface.  Each contact pair  is inherited with a special coordinate system based on its geometrical properties such as a Gaussian surface coordinate system or a Serret-Frenet curve coordinate system.  The formulation in a covariant form allows in a straightforward fashion to consider various constitutive relations for a  certain pair such as anisotropy for both frictional and structural parts. Then standard methods well known in computational contact mechanics such as penalty, Lagrange multiplier methods, combination of both and others  are formulated in these coordinate systems. Such formulations require then the powerful apparatus of differential geometry of surfaces and curves as well as of convex analysis. The final goals of such transformations are  then ready-for-implementation numerical algorithms within the finite element method including any arbitrary discretization techniques such as high order and isogeometric finite elements, which are most convenient for the considered geometrical situation. The book proposes a consistent study of geometry and kinematics, variational formulations, constitutive relations for surfaces and discretization techniques for all considered geometrical pairs and  contains the associated  numerical analysis as well as some new analytical results in contact mechanics.

Contact mechanics -- Mathematical models. --- Contact mechanics. --- Engineering. --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Chemical & Materials Engineering --- Civil Engineering --- Applied Mathematics --- Materials Science --- Contact mechanics --- Mechanics, Applied. --- Mathematical models. --- Mechanics. --- Continuum mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Theoretical and Applied Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Contact problems (Mechanics) --- Mechanics, Contact --- Mechanics, Applied --- Mechanics, applied. --- Solid Mechanics. --- Classical Mechanics. --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory