Artículo
Locking treatment of penalty-based gradient-enhanced damage formulation for failure of compressible and nearly incompressible hyperelastic materials
Autor/es | Valverde González, Ángel de Jesús
Reinoso Cuevas, José Antonio Dortdivanlioglu, B. Paggi, Marco |
Departamento | Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras |
Fecha de publicación | 2023-03 |
Fecha de depósito | 2023-05-02 |
Publicado en |
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Resumen | Soft materials are of major interest for biomechanics applications due to their high deformability and susceptibility to
experience damage events under different loading scenarios. The present study is concerned with ... Soft materials are of major interest for biomechanics applications due to their high deformability and susceptibility to experience damage events under different loading scenarios. The present study is concerned with modelling damage evolution processes in these nonlinear materials whose structural responses are prone to locking when low-order kinematic interpolation is employed in the context of nonlinear Finite Element schemes. For this reason, a pair of gradient-enhanced continuum damage schemes are proposed with the aim of tackling mechanical failure problems in applications that exhibit shear and volumetric locking. In particular, we present the consistent formulation and the assessment of the corresponding performance of (i) a mixed displacement-enhanced assumed strain Q1Q1E24 employing a total Lagrangian formulation, and (ii) a three-field mixed displacement-pressure-Jacobian Q1Q1P0 formulation. The novel Q1Q1E24 and Q1Q1P0 formulations are consistently derived and numerically implemented, providing a satisfactory agreement with respect to ABAQUS built-in elements handling the treatment of shear and volumetric locking, respectively, in conjunction to the modelling damage phenomena via the use of a penalty-based gradient-enhanced formulation. This performance is examined via several numerical applications. Furthermore, the final example justifies the need for a formulation combining both mixed FE approaches to simulate problems encompassing both locking issues (shear and volumetric locking), which can be performed using a combination of the Q1Q1E24and Q1Q1P0 herein proposed. |
Agencias financiadoras | Consejería de Economía y Conocimiento, Junta de Andalucía, and European Regional Development Fund - Project P20-00595 Ministerio de Ciencia e Innovación (España) TED2021-131649B-I00 |
Identificador del proyecto | P20-00595
TED2021-131649B-I00 |
Cita | Valverde González, Á.d.J., Reinoso Cuevas, J.A., Dortdivanlioglu, B. y Paggi, M. (2023). Locking treatment of penalty-based gradient-enhanced damage formulation for failure of compressible and nearly incompressible hyperelastic materials. Computational Mechanics. https://doi.org/10.1007/s00466-023-02314-x. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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CM_reinoso-cuevas_2023_locking.pdf | 5.064Mb | [PDF] | Ver/ | |