Continuum Mechanics And Theory Of Materials
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| Author | : Peter Haupt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 670 |
| Release | : 2002-03-12 |
| Genre | : Technology & Engineering |
| ISBN | : 9783540431114 |
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 | : Peter Haupt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 666 |
| Release | : 2013-03-14 |
| Genre | : Technology & Engineering |
| ISBN | : 3662047756 |
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 |
| Total Pages | : 432 |
| Release | : 2018-03-31 |
| Genre | : Technology & Engineering |
| ISBN | : 0128116498 |
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 general principles of mass, momentum and energy balance. The book then moves beyond other books by dedicating several chapters 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. Linear multiple field problems of thermoelasticity, poroelasticity and electoelasticity are also presented. Discussion of nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials are also given. 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 | : Stephen C. Cowin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 435 |
| Release | : 2013-01-09 |
| Genre | : Technology & Engineering |
| ISBN | : 146145025X |
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 |
| Total Pages | : 555 |
| Release | : 2016-05-12 |
| Genre | : Science |
| ISBN | : 9811009597 |
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 | : Peter Haupt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 596 |
| Release | : 2013-04-17 |
| Genre | : Science |
| ISBN | : 366204109X |
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 | : Ellad B. Tadmor |
| Publisher | : Cambridge University Press |
| Total Pages | : 373 |
| Release | : 2012 |
| Genre | : Science |
| ISBN | : 1107008263 |
Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
| Author | : Franco M. Capaldi |
| Publisher | : Cambridge University Press |
| Total Pages | : 359 |
| Release | : 2012-06-18 |
| Genre | : Science |
| ISBN | : 1139510576 |
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 | : Peter Chadwick |
| Publisher | : Courier Corporation |
| Total Pages | : 200 |
| Release | : 1999-01-01 |
| Genre | : Science |
| ISBN | : 9780486401805 |
Written in response to the dearth of practical and meaningful textbooks in the field of fundamental continuum mechanics, this comprehensive treatment offers students and instructors an immensely useful tool. Its 115 solved problems and exercises not only provide essential practice but also systematically advance the understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. Readers follow clear, formally precise steps through the central ideas of classical and modern continuum mechanics, expressed in a common, efficient notation that fosters quick comprehension and renders these concepts familiar when they reappear in other contexts. Completion of this brief course results in a unified basis for work in fluid dynamics and the mechanics of solid materials, a foundation of particular value to students of mathematics and physics, those studying continuum mechanics at an intermediate or advanced level, and postgraduate students in the applied sciences. "Should be excellent in its intended function as a problem book to accompany a lecture course." — Quarterly of Applied Math.
| Author | : Martin Kružík |
| Publisher | : Springer |
| Total Pages | : 624 |
| Release | : 2019-03-02 |
| Genre | : Science |
| ISBN | : 3030020657 |
This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.
