Description

Book Synopsis
Fulfilling a need for a work devoted to stability and bifurcation analysis in dissipative media, this book offers a unified presentation of nonlinear problems in solid mechanics and a complete and unitary analysis on stability and bifurcation problems arising in this framework.

Table of Contents
Basic Elements of Statics and Dynamics.

Constitutive Relations and Thermodynamics.

Elements of Mathematics.

Elastic Problems in Small Deformation.

Elastic-Plastic Problems in Small Deformaton.

Stability of an Equilibrium.

Static and Dynamic Bifurcation.

Bifurcation Analysis of Conservative Systems.

Buckling of Elastic Structures.

Complements of Conservative Systems.

Plastic Buckling of Beams.

Rate Problems and Hill's Criteria.

Plastic Bifurcation.

Materials and Structures in Finite Deformation.

Standard Dissipative Systems.

Stability of a Quasi-Static Evolution.

Crack Propagation and Stability.

Plane Cracks.

Contact with Friction.

Nonlinear Numerical Analysis.

References.

Index.

Stability Nonlinear Solid Mechanics

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    A Hardback by Quoc Son Nguyen

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      Book details

      Publisher John Wiley & Sons Inc
      Published 27 July 2000
      ISBN-13 9780471492887
      978-0471492887
      ISBN-10 0471492884
      Also in:
      Aerospace and aviation technology Mechanical engineering and materials Structural engineering

      Description

      Book Synopsis
      Fulfilling a need for a work devoted to stability and bifurcation analysis in dissipative media, this book offers a unified presentation of nonlinear problems in solid mechanics and a complete and unitary analysis on stability and bifurcation problems arising in this framework.

      Table of Contents
      Basic Elements of Statics and Dynamics.

      Constitutive Relations and Thermodynamics.

      Elements of Mathematics.

      Elastic Problems in Small Deformation.

      Elastic-Plastic Problems in Small Deformaton.

      Stability of an Equilibrium.

      Static and Dynamic Bifurcation.

      Bifurcation Analysis of Conservative Systems.

      Buckling of Elastic Structures.

      Complements of Conservative Systems.

      Plastic Buckling of Beams.

      Rate Problems and Hill's Criteria.

      Plastic Bifurcation.

      Materials and Structures in Finite Deformation.

      Standard Dissipative Systems.

      Stability of a Quasi-Static Evolution.

      Crack Propagation and Stability.

      Plane Cracks.

      Contact with Friction.

      Nonlinear Numerical Analysis.

      References.

      Index.

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