マルチスケールモデリングにおいて必要なミクロ自由度について

抄録

The “key” feature of FTMP (Field Theory of Multiscale Plasticity) is the evolutionary aspects of the incompatibility-based microscopic degrees of freedom, η－μDOFs, responsible for the “description” of evolving inhomogeneous fields of concern.

To this, the theory asserts that the conversions or redistributions of deformation-induced excessive sorts of elastic strain energy into such η－μDOFs mainly act as the “driving forces” for the field evolutions, including those leading ultimately to various fracture modes. This means that, as far as relevant η－μDOFs are introduced in, e.g., hardening moduli of the constitutive model being used, the corresponding fields of inhomogeneity, including both their morphological aspects and the stress-supporting abilities, are relatively readily reproduced. These energy conversion processes are hypothesized as “flow-evolutionary law” in the FTMP framework.