Large-strain Elastic and Elasto-Plastic Formulations for Host-Inclusion Systems and Their Applications in Thermobarometry and Geodynamics

Mineral inclusions are trapped in a variety of geological environments and physical conditions. If brought to conditions different than their entrapment, mineral will generally experience stress hosts due differences thermo-elastic properties the associated deformation. These develop both prograde retrograde metamorphic The currently available analytical solutions consider isotropic materials employ either fully linear-elastic behavior or they account for non-linear-elastic volumetric deformation minerals. Here we show that, by taking into finite deformation, able explain systematic amongst linear non-linear elastic solutions. Furthermore, newly derived solution (generalized Varga materials) host-inclusion problem. This considers geometric non-linearity material employing Murnaghan equation state. Our results that complete non-linear, hyperelastic is not needed pressure common, unreacting, systems. effects plastic yielding also investigated case large deformations can be relevant cases phase transitions reactions induce significant volume changes. very incorporation strain may become important. Moreover, depending on yield materials, plasticity dominant. In latter case, gradients developed as consequence balance. general used elastic-barometry/volcanology applications benchmarking compressible Navier-Stokes geodynamic models. Accurate predictions mechanical problems with modeling non-isochoric.