Numerical simulations of brittle fracture using phase-field approaches often employ a discrete approximation framework that applies the same order interpolation for displacement and variables. In particular, use linear finite elements to discretize both stress equilibrium equations is widespread in literature. However, P1 Lagrange shape functions model not optimal, as latter contains cusps full...

A three dimensional vector finite element method (FEM) has been used to model the permittivity of rice using the scattered far field radiation. Scattering of incident plane wave radiation is analysed to extract the permittivity of granular material. Some reduced parameters obtained from the scattered electric field show a very good correlation with the permittivity of materials (both dielectric...

in this paper, thermal effect of plasma arc welding is investigated, and temperature field of ferrite stainless steel is acquired. thermal effect of plasma arc and subsequently the generated temperature field in the work piece is the key for analysis and optimization of this welding process, which is the main goal of this paper. finite element simulation of welding process by simplec method and...

let $mathbb{f}$ be an algebraically closed field of prime characteristic $p>2$ and $(g, [p])$ a finite-dimensional restricted lie superalgebra over $mathbb{f}$. it is showed that anyfinite-dimensional indecomposable $g$-module is a module for a finite-dimensional quotient of the universal enveloping superalgebra of $g$. these quotient superalgebras are called the generalized reduced enveloping ...

Hygrothermal analysis of laminated composite plates has been done by using an efficient higher order shear deformation theory. The stress field derived from hygrothermal fields must be consistent with total strain field in this type of analysis. In the present formulation, the plate model has been implemented with a computationally efficient C0 finite element developed by using consistent strai...

in this paper vibration of ferromagnetic rectangular plates which are subjected to an inclined magnetic field is investigated based on classical plate theory and maxwell equations. levy type solution and finite element method using comsol software are used to obtain the frequency of the plate subjected to different boundary conditions, good agreements is obtained when computed results are compa...