Continuum Mechanics and Theory of Materials PDF Download

Author: Peter Haupt
Publisher: Springer Science & Business Media
ISBN: 3662047756
Category : Technology & Engineering
Languages : en
Pages : 666

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Book Description
The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.

Author: Martin H. Sadd
Publisher: Academic Press
ISBN: 0128116498
Category : Technology & Engineering
Languages : en
Pages : 432

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Book Description
Continuum Mechanics Modeling of Material Behavior offers a uniquely comprehensive introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. The book begins with several chapters that carefully and rigorously present mathematical preliminaries; kinematics of motion and deformation; force and stress measures; and mass, momentum and energy balance principles. The book then moves beyond other books by dedicating the last chapter to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity, as well as linear and nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Offers a thorough, concise and organized presentation of continuum mechanics formulation Covers numerous applications in areas of contemporary continuum mechanics modeling, including micromechanical and multi-scale problems Integration and use of MATLAB software gives students more tools to solve, evaluate and plot problems under study Features extensive use of exercises, providing more material for student engagement and instructor presentation

Author: Franco M. Capaldi
Publisher: Cambridge University Press
ISBN: 1139510576
Category : Science
Languages : en
Pages :

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Book Description
This is a modern textbook for courses in continuum mechanics. It provides both the theoretical framework and the numerical methods required to model the behaviour of continuous materials. This self-contained textbook is tailored for advanced undergraduate or first-year graduate students with numerous step-by-step derivations and worked-out examples. The author presents both the general continuum theory and the mathematics needed to apply it in practice. The derivation of constitutive models for ideal gases, fluids, solids and biological materials, and the numerical methods required to solve the resulting differential equations, are also detailed. Specifically, the text presents the theory and numerical implementation for the finite difference and the finite element methods in the Matlab® programming language. It includes thirteen detailed Matlab® programs illustrating how constitutive models are used in practice.

Author: George Z. Voyiadjis
Publisher: Springer
ISBN: 9783319587271
Category : Science
Languages : en
Pages : 0

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Book Description
This handbook covers all areas of nonlocal continuum mechanics including theoretical aspects,computational procedures, and experimental advances. The multidisciplinary scope of articles that comprise this reference are written by internationally recognized experts in the field and stand as the most-up-to-date, established knowledge base on using nonlocal continuum mechanics to characterize material behavior for advanced composites and nano-materials, as well as for engineering scale structures. The handbook is at once a comprehensive reference for academic researchers and engineers in industry concerned with nonlocal continuum mechanics for materials and structures as well as a supplement for graduate courses on a range of topics.

Author: P. Chadwick
Publisher: Courier Corporation
ISBN: 048613914X
Category : Science
Languages : en
Pages : 191

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Book Description
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

Author: Stephen C. Cowin
Publisher: Springer Science & Business Media
ISBN: 146145025X
Category : Technology & Engineering
Languages : en
Pages : 435

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Book Description
Continuum Mechanics of Anisotropic Materials(CMAM) presents an entirely new and unique development of material anisotropy in the context of an appropriate selection and organization of continuum mechanics topics. These features will distinguish this continuum mechanics book from other books on this subject. Textbooks on continuum mechanics are widely employed in engineering education, however, none of them deal specifically with anisotropy in materials. For the audience of Biomedical, Chemical and Civil Engineering students, these materials will be dealt with more frequently and greater accuracy in their analysis will be desired. Continuum Mechanics of Anisotropic Materials' author has been a leader in the field of developing new approaches for the understanding of anisotropic materials.

Author: Konstantin Naumenko
Publisher: Springer
ISBN: 9789811009587
Category : Science
Languages : en
Pages : 0

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Book Description
This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.

Author: A. J. M. Spencer
Publisher: Courier Corporation
ISBN: 0486139476
Category : Science
Languages : en
Pages : 194

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Book Description
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.

Author: Peter Haupt
Publisher: Springer Science & Business Media
ISBN: 366204109X
Category : Science
Languages : en
Pages : 596

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Book Description
From the reviews: "In striving toward the encyclopedic, Haupt employs a full arsenal of geometric tools, from curvilinear coordinates to several different strain tensors for both the spatial and material formulations. The emphasis throughout is on the mechanics of solids." SIAM Review

Author: Lallit Anand
Publisher: Oxford Graduate Texts
ISBN: 0198864728
Category : Continuum mechanics
Languages : en
Pages : 722

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Book Description
This introductory graduate text is a unified treatment of the major concepts of Solid Mechanics for beginning graduate students in the many branches of engineering. Major topics are elasticity, viscoelasticity, plasticity, fracture, and fatigue. The book also has chapters on thermoelasticity, chemoelasticity, poroelasticity and piezoelectricity.