Generalized method of separation of variables on the nonlinear elastic-plastic wave motion
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Date
1997
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Publisher
Springer
Abstract
The method of separation of variables is developed in addition to the Karman method and the method of characteristics for the wave motion of uniaxial stress in rods. Rate-independent theory is considered and it is shown that the plastic wave speed is independent of the constant n in the stress-strain law. Stresses are determined in explicit forms for two cases.
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Keywords
Engineering, Mechanics, Nonlinear, Elastic, Plastic, Wave, Motion, Method of separation of variables, Elasticity, Equations of motion, Nonlinear equations, Plasticity, Stress concentration, Wave transmission, Karman method, Rate independent theory, Separation of variables method, Stress analysis
Citation
Pala, Y. (1997). "Generalized method of separation of variables on the nonlinear elastic-plastic wave motion". Nonlinear Dynamics, 14(1), 49-56.