SCALAR DAMAGE BASED ON MICROPOLAR CONTINUA ”“ MESH-FREE APPROXIMATION

• Autor(a) principal: Gori, Lapo
• Data de Publicação: 2017
• Outros Autores: Andrade, Marcella Passos, Silva, Ramon Pereira da, Penna, Samuel Silva, Pitangueira, Roque Luiz da Silva
• Tipo de documento: Artigo
• Idioma: por
• Título da fonte: Revista Interdisciplinar de Pesquisa em Engenharia
• Texto Completo: https://periodicos.unb.br/index.php/ripe/article/view/21714
• topic: Micropolar continua. Scalar damage. Strain localization. Mesh-free methods. Element Free Galerkin.

Recently, scalar damage models based on the micropolar continuum theory have  been proposed, in order to represent the physically non-linear behaviour of quasi-brittle materials. Due to its regularization properties, widely investigated in elasto-plasticity, the micropolar theory represents a valid alternative for mitigating pathological phenomena that arise in the numerical simulations. In the last years, also the class of mesh-free methods have been shown to be capable to regularize the response of problems where localization occours. This paper investigates the coupling of micropolar damage models with mesh-free methods, with specific attention on the Element Free Galerkin (EFG) method. The micropolar theory is presented in a tensorial generalized form, and different scalar damage models are derived in a theoretical and computational unified framework for constitutive models. The computational aspects of the coupling between micropolar damage and mesh-free approach are also discussed, with specific attention on the implementation in the INSANE (INteractive Structural ANalysis Enviroment) system. Numerical simulations are presented in order to illustrate the proposed models.