An Elastoplasticity Model for Antiplane Shearing with a Non-associative Flow Rule: Genuine Nonlinearity of Plastic Waves
| Autor: | U Michael Gordon, F. Xabier Garaizar, Michael Shearer |
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| Rok vydání: | 1998 |
| Předmět: |
Shearing (physics)
Partial differential equation Applied Mathematics Constitutive equation Linear elasticity 010103 numerical & computational mathematics 02 engineering and technology Mechanics 16. Peace & justice 01 natural sciences Nonlinear system 020303 mechanical engineering & transports Classical mechanics 0203 mechanical engineering Shear stress 0101 mathematics Deformation (engineering) Analysis Associative property Mathematics |
| Zdroj: | Journal of Mathematical Analysis and Applications. 219:344-363 |
| ISSN: | 0022-247X |
| DOI: | 10.1006/jmaa.1997.5817 |
| Popis: | In elastoplasticity models, there is a stress threshold or yield condition that plays a role in determining whether the material is deforming elastically or plastically. If the stress is below the threshold, then the deformation is elastic, and is typically modeled by linear elasticity. If the stress reaches the threshold, it is said to be at yield, and the deformation is considered to be plastic. In models of plastic deformation in which the material hardens with increasing stress, the stress-strain constitutive law is Ž typically nonlinear. Since the equations are hyperbolic at least up to some . maximum stress , nonlinearities can in principle lead to the formation of |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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