Advanced Methods of Continuum Mechanics for Materials and Structures

Advanced Methods of Continuum Mechanics for Materials and Structures
Author: Konstantin Naumenko
Publisher: Springer
Total Pages: 555
Release: 2016-05-12
Genre: Science
ISBN: 9811009597

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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.

Elementary Continuum Mechanics for Everyone

Elementary Continuum Mechanics for Everyone
Author: Esben Byskov
Publisher: Springer Science & Business Media
Total Pages: 601
Release: 2013-02-03
Genre: Science
ISBN: 9400757662

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The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids. Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams and plates, and finite element methods for these structures. A formulation in terms of the versatile Budiansky-Hutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an in-depth treatment of structural instability.

Continuum Mechanics and Theory of Materials

Continuum Mechanics and Theory of Materials
Author: Peter Haupt
Publisher: Springer Science & Business Media
Total Pages: 666
Release: 2013-03-14
Genre: Technology & Engineering
ISBN: 3662047756

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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.

Continuum Mechanics

Continuum Mechanics
Author: Franco M. Capaldi
Publisher: Cambridge University Press
Total Pages: 359
Release: 2012-06-18
Genre: Science
ISBN: 1139510576

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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.

An Introduction to Continuum Mechanics

An Introduction to Continuum Mechanics
Author: J. N. Reddy
Publisher: Cambridge University Press
Total Pages: 479
Release: 2013-07-29
Genre: Mathematics
ISBN: 1107025435

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This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.

Principles of Continuum Mechanics

Principles of Continuum Mechanics
Author: J. N. Reddy
Publisher: Cambridge University Press
Total Pages: 245
Release: 2010-06-28
Genre: Technology & Engineering
ISBN: 1139486152

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As most modern technologies are no longer discipline-specific but involve multidisciplinary approaches, undergraduate engineering students should be introduced to the principles of mechanics so that they have a strong background in the basic principles common to all disciplines and are able to work at the interface of science and engineering disciplines. This textbook is designed for a first course on principles of mechanics and provides an introduction to the basic concepts of stress and strain and conservation principles. It prepares engineer-scientists for advanced courses in traditional as well as emerging fields such as biotechnology, nanotechnology, energy systems, and computational mechanics. This simple book presents the subjects of mechanics of materials, fluid mechanics, and heat transfer in a unified form using the conservation principles of mechanics.

Size-Dependent Continuum Mechanics Approaches

Size-Dependent Continuum Mechanics Approaches
Author: Esmaeal Ghavanloo
Publisher: Springer Nature
Total Pages: 463
Release: 2021-04-02
Genre: Science
ISBN: 3030630501

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This book offers a comprehensive and timely report of size-dependent continuum mechanics approaches. Written by scientists with worldwide reputation and established expertise, it covers the most recent findings, advanced theoretical developments and computational techniques, as well as a range of applications, in the field of nonlocal continuum mechanics. Chapters are concerned with lattice-based nonlocal models, Eringen’s nonlocal models, gradient theories of elasticity, strain- and stress-driven nonlocal models, and peridynamic theory, among other topics. This book provides researchers and practitioners with extensive and specialized information on cutting-edge theories and methods, innovative solutions to current problems and a timely insight into the behavior of some advanced materials and structures. It also offers a useful reference guide to senior undergraduate and graduate students in mechanical engineering, materials science, and applied physics.

Handbook of Nonlocal Continuum Mechanics for Materials and Structures

Handbook of Nonlocal Continuum Mechanics for Materials and Structures
Author: George Z. Voyiadjis
Publisher: Springer
Total Pages: 0
Release: 2019-02-22
Genre: Science
ISBN: 9783319587271

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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.

Modeling High Temperature Materials Behavior for Structural Analysis

Modeling High Temperature Materials Behavior for Structural Analysis
Author: Konstantin Naumenko
Publisher: Springer
Total Pages: 381
Release: 2016-05-11
Genre: Science
ISBN: 331931629X

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This monograph presents approaches to characterize inelastic behavior of materials and structures at high temperature. Starting from experimental observations, it discusses basic features of inelastic phenomena including creep, plasticity, relaxation, low cycle and thermal fatigue. The authors formulate constitutive equations to describe the inelastic response for the given states of stress and microstructure. They introduce evolution equations to capture hardening, recovery, softening, ageing and damage processes. Principles of continuum mechanics and thermodynamics are presented to provide a framework for the modeling materials behavior with the aim of structural analysis of high-temperature engineering components.

Handbook of Nonlocal Continuum Mechanics for Materials and Structures

Handbook of Nonlocal Continuum Mechanics for Materials and Structures
Author: George Z. Voyiadjis
Publisher:
Total Pages:
Release: 2019
Genre: Continuum mechanics
ISBN: 9781787852259

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Provides detailed treatments of computational modeling and applications of nonlocal continuum mechanics (NCM), micro-mechanical characterizations and experimental validation, mathematical methods, nonlocal fracture mechanics, use of NCM in nanotechnology, and NCM in advanced composite materials.