Generalized Plasticity Theory for Phase Transformations

Duality transformations for generalized WDVV in Seiberg-Witten theory

In Seiberg-Witten theory the solutions to these equations come in certain classes according to the gauge group. We show that the duality transformations transform solutions within a class to another solution within the same class, by using a subset of the Picard-Fuchs equations on the Seiberg-Witten family of Riemann surfaces. The electric-magnetic duality transformations can be thought of as c...

Generalized Melosh Transformations for Baryons

Melosh rotations are defined for antiquarks that provide unitary transformations from uto v-spinor basis states. Methods for constructing a complete set of relativistic three-quark states are detailed for the nucleon, N∗(1520) and N∗(1535). States containing virtual antiquarks are constructed and a physical interpretation of v-spinor basis states in QCD is provided in terms of transition amplit...

Three-dimensional Landau theory for multivariant stress-induced martensitic phase transformations. II. Multivariant phase transformations and stress space analysis

a generalized plasticity constitutive model for sand-gravel mixtures

this paper presents a model for prediction of the mechanical behavior of sand-gravel mixtures using generalized plasticity and critical state concepts. proposed model is based on the difference between critical state lines of sand and sand-gravel mixture in e-lnp' plane. a generalized plasticity model is considered as the base model for sandy soil. its state parameter, dilation rate and ha...

Phase field approach to interaction of phase transformations and plasticity at large strains

Thermodynamically consistent phase fi eld approach (PFA) for multivariant martensitic phase transformations (PTs) and twinning for large strains is developed [1, 2]. Thermodynamic potential in hyperspherical order parameters is introduced, which allowed us to describe each martensite-martensite (i.e., twin) interface with a single order parameter [3]. These theories are utilized for fi nite ele...