Work

Stabilized Mixed Formulations for Incompressible Finite Strain Electromechanics Including Stress Accurate Analysis

Year: 2025

Type: article

Abstract: ABSTRACT In this study, we introduce a novel methodology for finite strain electromechanics that effectively addresses the incompressible limit. The primary innovation of this work is the first‐time application of robust and accurate stabilized mixed formulations, previously developed by the authors for hyperelasticity, within the realm of electromechanics. These formulations incorporate the pressure field as an unknown variable, thereby facilitating the automatic attainment of the incompressible limit. Additionally, we consider the mechanical deviatoric stress tensor as a primary unknown, allowing for the design of finite element technology capable of managing incompressible behavior while ensuring high accuracy in the stress field and avoiding shear locking of thin solids. To enable the use of equal‐order interpolations, we employ the orthogonal subgrid scale method for stabilization. Furthermore, the electromechanical problem is approached through a block‐iterative staggered method. We present a series of numerical examples to assess the robustness and applicability of these formulations in solving complex finite strain electromechanics problems.

Source: International Journal for Numerical Methods in Engineering

DOI: 10.1002/nme.70089

Authors: Inocencio Castañar, Jesús Martínez‐Frutos, Rogelio Ortigosa, Ramon Codina

Institutions: Universidad Politécnica de Cartagena, Universitat Politècnica de Catalunya, International Center for Numerical Methods in Engineering

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,250

Funders: Institució Catalana de Recerca i Estudis Avançats, Comunidad Autónoma de la Región de Murcia