Plasticity: Theory and Engineering ApplicationsHardbound. 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 limi |
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applied approximation assume axis bar member bar structures beam bending bending moment boundary conditions collapse load complementary energy constant constitutive equations corresponding cross-section defined by eq deflections denotes determined differential equation discontinuity domain elastic limit elasto-plastic equilibrium equations expressed in terms F₁ flow rule forces fully plastic given by eq governing equations Hence Hooke's Law Huber-v illustrated limit analysis linear m₁ magnitude minimum weight normal stresses obtained optimal plane strain plane stress plastic bodies plastic deformations plastic flow plastic hinge plastic limit load plastic moments plate problem relationship rigid-perfectly plastic satisfied Section shakedown analysis shear line field shear stresses shell shown in Fig solution strain and displacement strain increments strain tensor stress and strain stress field stress function stress-strain tensor theorem theory Tresca yield condition unloading upper bound velocity field viscous W₁ yield mechanism yield stress yield surface