In order to describe the deformation properties due to the martensitic transformation and the R-phase transformation of TiNi shape memory alloy, a thermomechanical constitutive equation considering the volume fractions of induced phases associated with both transformations is developed. The proposed constitutive equation expresses well the properties of the shape memory effect, pseudoelasticity...

We present a Runge-Kutta discontinous Galerkin (RKDG) method to solve the level set advection equation arising in the conservative level set method. We show results obtained using the method of manufactured solutions demonstrating k + 1 order accuracy for k-th order Legendre polynomial basis functions. The RKDG conservative level set method yields superior results compared to standard finite di...

Abstract We develop a non-perturbative method for calculating partition functions of strongly coupled quantum mechanical systems with interactions between subsystems described by path integral dual system. The is derived starting from non-interacting at zeroth order and then introducing couplings increasing complexity each an iterative procedure. These orders play the role time full function ex...

Abstract The de Rham–Gabadadze–Tolley black string solution is a cylindrically symmetric and static of the Einstein field equation with graviton mass term. For asymptotically Sitter solution, it possible to obtain two event horizons corresponding thermodynamic systems. Rényi entropy one entropic forms which suitable deal nonextensive properties string. In this work, we investigated possibility ...

We formulate a stochastic equation to model the erosion of a surface with fixed inclination. Because the inclination imposes a preferred direction for material transport, the problem is intrinsically anisotropic. At zeroth order, the anisotropy manifests itself in a linear equation that predicts that the prefactor of the surface height-height correlations depends on direction. The first higher-...