Analysis of planes within reduced micromorphic model

Abstract

A plane within reduced micromorphic model subjected to external static load is studied using the finite element method. The reduced micromorphic model is a generalized continuum theory which can be used to capture the interaction of the microstructure. In this approach, the microstructure is homogenized and replaced by a reduced micromorphic material model. Then, avoiding the complexity of the microstructure, the reduced micromorphic model is analyzed to reveal the interaction of the microstructure and the external loading. In this study, the three-dimensional formulation of the reduced micromorphic model is dimensionally reduced to address a plane under in-plane external load. The governing system of partial differential equations with corresponding consistent boundary conditions are discretized and solved using the finite element method. The classical and nonclassical deformation measures are then demonstrated and discussed for the first time for a material employing the reduced micromorphic model.

On a two-dimensional model of generalized thermoelasticity with application

“…Following similar guidelines as in 22 , 23 , COMSOL Multiphysics is used to solve the considered boundary-value problem for Eqs. ( 26 – 33 ) under the boundary conditions ( 46 – 52 ) and zero initial conditions.…”

Mathematical Modelling and Simulation of Periodontal Ligament Using COMSOL Multiphysics

“…Its theory is built on breaking down complex structures into manageable elements that can be easily specified using differential equations. After that, a finite number of elements are put together to produce a rough mathematical model of the structure [7,18,19]. This paper will verify the approximate analytical solution of the periodontal ligament given in [4,20] by using COMSOL Multiphysics software.…”