Continuum mesoscale theory inspired by plasticity
نویسندگان
چکیده
منابع مشابه
Continuum mesoscale theory inspired by plasticity
– We present a simple mesoscale field theory inspired by rate-independent plasticity that reflects the symmetry of the deformation process. We parameterize the plastic deformation by a scalar field which evolves with loading. The evolution equation for that field has the form of a Hamilton-Jacobi equation which gives rise to cusp-singularity formation. These cusps introduce irreversibilities an...
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Solids with spatial variations in the crystalline axes naturally evolve into cells or grains separated by sharp walls. Such variations are mathematically described using the Nye dislocation density tensor. At high temperatures, polycrystalline grains form from the melt and coarsen with time; the dislocations can both climb and glide. At low temperatures under shear the dislocations (which allow...
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ژورنال
عنوان ژورنال: Europhysics Letters (EPL)
سال: 2004
ISSN: 0295-5075,1286-4854
DOI: 10.1209/epl/i2003-10175-2