The Mechanics of Constitutive Modeling

The Mechanics of Constitutive Modeling PDF

Author: Niels Saabye Ottosen

Publisher: Elsevier

Published: 2005-09-28

Total Pages: 700

ISBN-13: 0080525695

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Constitutive modelling is the mathematical description of how materials respond to various loadings. This is the most intensely researched field within solid mechanics because of its complexity and the importance of accurate constitutive models for practical engineering problems. Topics covered include: Elasticity - Plasticity theory - Creep theory - The nonlinear finite element method - Solution of nonlinear equilibrium equations - Integration of elastoplastic constitutive equations - The thermodynamic framework for constitutive modelling – Thermoplasticity - Uniqueness and discontinuous bifurcations • More comprehensive in scope than competitive titles, with detailed discussion of thermodynamics and numerical methods. • Offers appropriate strategies for numerical solution, illustrated by discussion of specific models. • Demonstrates each topic in a complete and self-contained framework, with extensive referencing.

Modeling High Temperature Materials Behavior for Structural Analysis

Modeling High Temperature Materials Behavior for Structural Analysis PDF

Author: Konstantin Naumenko

Publisher: Springer

Published: 2019-06-01

Total Pages: 210

ISBN-13: 3030203816

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This second part of the work on creep modeling offers readers essential guidance on practical computational simulation and analysis. Drawing on constitutive equations for creep in structural materials under multi-axial stress states, it applies these equations, which are developed in detail in part 1 of the work, to a diverse range of examples.

Advanced Materials Modelling for Structures

Advanced Materials Modelling for Structures PDF

Author: Holm Altenbach

Publisher: Springer Science & Business Media

Published: 2013-02-05

Total Pages: 365

ISBN-13: 3642351670

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This volume presents the major outcome of the IUTAM symposium on “Advanced Materials Modeling for Structures”. It discusses advances in high temperature materials research, and also to provides a discussion the new horizon of this fundamental field of applied mechanics. The topics cover a large domain of research but place a particular emphasis on multiscale approaches at several length scales applied to non linear and heterogeneous materials. Discussions of new approaches are emphasised from various related disciplines, including metal physics, micromechanics, mathematical and computational mechanics.

The Rational Spirit in Modern Continuum Mechanics

The Rational Spirit in Modern Continuum Mechanics PDF

Author: Chi-Sing Man

Publisher: Springer Science & Business Media

Published: 2006-01-19

Total Pages: 828

ISBN-13: 1402023081

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Through his voluminous and in?uential writings, editorial activities, organi- tional leadership, intellectual acumen, and strong sense of history, Clifford - brose Truesdell III (1919–2000) was the main architect for the renaissance of - tional continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. The ?rst ?ve essays by B. D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will ?nd personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy. The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as “conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny.