Dynamic PlasticityDynamic Plasticity discusses the problems encountered in the theory of dynamic deformation of plastic bodies. The book describes one-dimensional problems involving a single component of stress, particle velocity, and single spatial coordinate. The propagation of longitudinal elastic-plastic waves in thin rods or wires is a simple example of this problem of dynamic plasticity. Another one-dimensional problem, which has various possible transverse motions, is the dynamics of extensible strings. This problem is associated in calculations dealing with cables of suspension bridges, of elevator cables, of electric cables. The analogy with the mechanics of extensible strings can be extended to circular and rectangular membranes such as explained by Karunes and Onat. Karunes and Onat analyzed the propagation of transverse and longitudinal shock waves in such membranes using the Rakhmatulin theory for strings. The text also discusses axi-symmetrical problems and the problems of soil mechanics when applied to soft soils. The book can prove valuable to civil engineers, structural engineers, physicist, and students of mechanical engineering or industrial design. |
Contents
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8 | |
CHAPTER III THE RATE INFLUENCE ON THE PROPAGATION OF LONGITUDINAL ELASTICVISCOPLASTIC WAVES ONEDIMENSIONAL... | 101 |
CHAPTER IV MECHANICS OF EXTENSIBLE STRINGS | 181 |
CHAPTER V MECHANICS OF CIRCULAR MEMBRANES | 292 |
CHAPTER VI AXISYMMETRICAL PROBLEMS | 335 |
CHAPTER VII THICK RODS PLANE WAVES | 403 |
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Common terms and phrases
aluminium assumed body boundary conditions cable characteristic lines components compression computed considered constant constitutive equation coordinates corresponding CRISTESCU decreases defined deformation density differential relations satisfied discontinuity dynamic stress-strain dynamic yield elastic wave elastic-plastic equations of motion Eulerian coordinates experimental find finite first fit fixed follows formula function G. I. TAYLOR increases initial conditions integration jump conditions kinds of waves Lagrangian coordinates linear work-hardening loading loading/unloading boundary longitudinal waves m/sec material membrane method obtained one-dimensional plane plastic strain plastic wave plate pressure problem profiles quasi-linear RAKHMATULIN rate dependent rate influence rate of strain reflected represented in fig shearing shock wave front similar slope soil solution straight lines stress-strain curve stress-strain relation string temperature theory transverse wave unloading domain values variation various velocity of impact velocity of propagation viscoplastic viscosity wave propagation yield condition yield stress