CONTINUUM MECHANICS DOVER BOOKS ON PHYSICS

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Continuum Mechanics

Author : A. J. M. Spencer
ISBN : 9780486139470
Genre : Science
File Size : 84.4 MB
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Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.
Category: Science

Continuum Mechanics

Author : P. Chadwick
ISBN : 9780486139142
Genre : Science
File Size : 39.38 MB
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DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div
Category: Science

A First Course In Continuum Mechanics

Author : Oscar Gonzalez
ISBN : 9780521886802
Genre : Science
File Size : 47.94 MB
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A concise account of classic theories of fluids and solids, for graduate and advanced undergraduate courses in continuum mechanics.
Category: Science

An Introduction To The Theory Of Elasticity

Author : R. J. Atkin
ISBN : 9780486150994
Genre : Science
File Size : 24.74 MB
Format : PDF
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Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.
Category: Science

Continuum Mechanics And Thermodynamics

Author : Ellad B. Tadmor
ISBN : 9781107008267
Genre : Science
File Size : 41.95 MB
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Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
Category: Science

Introduction To Continuum Mechanics For Engineers

Author : Ray M. Bowen
ISBN : 0486474607
Genre : Science
File Size : 26.10 MB
Format : PDF
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This self-contained graduate-level text introduces classical continuum models within a modern framework. Its numerous exercises illustrate the governing principles, linearizations, and other approximations that constitute classical continuum models. Starting with an overview of one-dimensional continuum mechanics, the text advances to examinations of the kinematics of motion, the governing equations of balance, and the entropy inequality for a continuum. The main portion of the book involves models of material behavior and presents complete formulations of various general continuum models. The final chapter contains an introductory discussion of materials with internal state variables. Two substantial appendixes cover all of the mathematical background necessary to understand the text as well as results of representation theorems. Suitable for independent study, this volume features 280 exercises and 170 references.
Category: Science

Matrix Tensor Methods In Continuum Mechanics

Author : S F Borg
ISBN : 9789813103672
Genre : Technology & Engineering
File Size : 70.38 MB
Format : PDF
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The purposes of the text are: To introduce the engineer to the very important discipline in applied mathematics-tensor methods as well as to show the fundamental unity of the different fields in continuum mechanics-with the unifying material formed by the matrix-tensor theory and to present to the engineer modern engineering problems. Request Inspection Copy
Category: Technology & Engineering

Nonlinear Solid Mechanics

Author : Gerhard A. Holzapfel
ISBN : 0471823198
Genre : Technology & Engineering
File Size : 20.46 MB
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Nonlinear Solid Mechanics a Continuum Approach for Engineering Gerhard A. Holzapfel Graz University of Technology, Austria With a modern, comprehensive approach directed towards computational mechanics, this book covers a unique combination of subjects at present unavailable in any other text. It includes vital information on 'variational principles' constituting the cornerstone of the finite element method. In fact this is the only method by which Nonlinear Solid Mechanics is utilized in engineering practice. The book opens with a fundamental chapter on vectors and tensors. The following chapters are based on nonlinear continuum mechanics - an inevitable prerequisite for computational mechanicians. In addition, continuum field theory (applied to a representative sample of hyperelastic materials currently used in nonlinear computations such as incompressible and compressible materials) is presented, as are transversely isotropic materials, composite materials, viscoelastic materials and hyperelastic materials with isotropic damage. Another central chapter is devoted to the thermodynamics of materials, covering both finite thermoelasticity and finite thermoviscoelasticity. Also included are: * an up-to-date list of almost 300 references and a comprehensive index * useful examples and exercises for the student * selected topics of statistical and continuum thermodynamics. Furthermore, the principle of virtual work (in both the material and spatial descriptions) is compared with two and three-field variational principles particularly designed to capture kinematic constraints such as incompressibility. All of the features combined result in an essential text for final year undergraduates, postgraduates and researchers in mechanical, civil and aerospace engineering and applied maths and physics.
Category: Technology & Engineering

Mathematical Foundations Of Elasticity

Author : Jerrold E. Marsden
ISBN : 9780486142272
Genre : Technology & Engineering
File Size : 28.91 MB
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Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.
Category: Technology & Engineering