CiNii 図書 - Plasticity : theory and engineering applications

This book is a completely revised English edition of the author's book published in Hungarian in 1975 and in German in 1984. The work provides a comprehensive treatise on the classical theory of plasticity, together with a great number of solution methods and applications on the problems of structural and mechanical engineering. Attention is focused mainly on the formulation and structural applications of the fundamental physical properties and constitutive equations of linearly elastic-perfectly plastic bodies. The treatment is purely phenomenological, and does not enter into the microstructure or the thermodynamics of irreversible deformation processes. Plastic hardening and strain rate effects are briefly reviewed, and the assumption of infinitesimal deformations is adopted. Emphasis is placed on the fundamental relations and theorems of the incremental theory of plastic bodies and on the principles and methods of incremental and limit analysis, optimal design, and shakedown analysis of bar structures, plates and shells.

1. Basic Concepts and Notations. The mechanical properties of materials. Material models. Historical remarks. Notations. 2. Fundamental Relations and Governing Equations. Stress state. Strain state. Stress-strain relations. Constitutive equations of elastic-perfectly plastic bodies. The governing equations for linearly elastic-perfectly plastic bodies. 3. Variational Principles. Principle of virtual work and complementary virtual work. Variational principles of elasticity. Variational principles of plasticity. Discontinuity of stress and velocity fields. 4. Elasto-Plastic Analysis of Some Simple Problems. Analysis of a simple bar structure. Torsion of prismatic bars. Thick-walled spheres and cylinders under internal pressure. 5. Plastic Analysis of Plane Strain and Plane Stress Problems. Basic relationships. Plane plastic flow. Plane stress problems. Application of the finite element method. 6. Plastic Analysis and Design of Bar Structures. Yield condition for bar members. Elasto-plastic analysis. Limit analysis. Deflections. Plastic design. Application of mathematical programming. 7. Plastic Analysis and Design of Plates and Shells. Assumptions. Limit analysis of plates. Limit analysis of shells. Optimal design. 8. Various Inelastic Material Properties. Plastic hardening materials. Granular materials. Viscous materials. 9. Dynamic Plastic Response of Structures. Fundamental relationships. Simple rigid-plastic theory. Effect of strain rate sensitivity. Effect of large displacements. Effect of elastic deformations. Applications. Concluding remarks. References. Subject Index.

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Plasticity : theory and engineering applications

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