Thermomechanical response of non-local porous material |
| |
| Institution: | 1. Solid Mechanics Laboratory (CNRS-UMR 7649), Department of Mechanics, École Polytechnique, Palaiseau, France;2. Impact and Crashworthiness Laboratory, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA;1. Lavrentyev Institute of Hydrodynamics, Department of Solid Mechanics, Pr. Laverentyeva 15, 630090 Novosibirsk, Russia;2. Novosibirsk State University, Pirogova 2, 630090 Novosibirsk, Russia;3. Technische Universität Chemnitz, Department of Solid Mechanics, Reichenhainer Strasse 90, 09126 Chemnitz, Germany;1. Programa de Engenharia Mecânica/COPPE, Universidade Federal do Rio de Janeiro, Cidade Universitária, Rio de Janeiro, Brazil;2. CIMEC-UNL-CONICET, Güemes 3450, CP 3000 Santa Fe, Argentina;3. GIMNI-UTN-FRSF, Lavaisse 610, CP 3000 Santa Fe, Argentina;4. Autoridad Regulatoria Nuclear, Av. del Libertador 8250, Buenos Aires, Argentina;1. School of Civil, Environmental and Mining Engineering, The University of Adelaide, Adelaide, SA 5005, Australia;2. Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK;3. Advanced Composites Center for Innovation and Science (ACCIS), University of Bristol, Clifton BS8 1TR, UK |
| |
| Abstract: | A thermomechanical model of a porous material is presented. The constitutive model is based on the Gurson model, formulated within a thermodynamic framework and adapted to large deformations. The thermodynamic framework yields a heat equation that naturally includes the mechanical dissipation. To introduce a length scale, the Gurson model was enhanced through non-local effects of the porosity being taken into account. A numerical integration scheme of the constitutive model and the algorithmic stiffness tensor are derived. The integration of the plastic part of the deformation gradient is based on an exponential update operator, an eigenvalue decomposition is also being used to reduce the number of equations that need to be solved. The coupled problem that arises is dealt with by employing a staggered solution method. To examine the capabilities of the model, shear band formation in a thick disc and crack growth in a thick notched disc were investigated. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
