Dynamic 3D thermoelastic multi-scale failure analysis of composites using a fast BEM approach

• Grant number: 15/22199-9
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2016
• End date: September 30, 2016
• Field of knowledge: Engineering - Mechanical Engineering - Mechanics of Solids
• Principal Investigator: Paulo Sollero
• Grantee: Rene Quispe Rodriguez
• Host Institution: Faculdade de Engenharia Mecânica (FEM). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This project has as its main objective the construction of computational tools for analyzing failure in composites taking into account cohesive laws based on the micro-scale nature of the interfaceas well as thermoelastic and dynamic effects. The multi-scale approach should adequately represent the inter-atomic and molecular interactions within the fiber-matrix interfaces. Moreover, thermoelastic and dynamic analyses at the meso-scale are fundamental in order to properly characterize thebehaviour of a real multi-scale composite failure criterion. The Boundary Element Method (BEM)is well established as a powerful and efficient computational numerical technique for the analysisof many physical and engineering problems and will be used to this end. The BEM 3D anisotropicimplementation for elastostatics has been a subject of great interest for decades due to their mathematical complexity. Additionally, the non-symmetric and fully populated nature of BEM system equation matrices may involve high computer memory requirements and solution times for very large numerical problems. The present project also proposes to deal with these two issues by using a recently proposed numerical implementation for generally anisotropic 3D fundamental solutions based on Fourier series and an acceleration method for generating all BEM matrices. It is also proposed a one-year internship at Brunel University London under the supervision of Professor Luiz Carlos Wrobel.

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GALVIS, ANDRES F.; RODRIGUEZ, RENE Q.; SOLLERO, PAULO. Analysis of three-dimensional hexagonal and cubic polycrystals using the boundary element method. MECHANICS OF MATERIALS, v. 117, p. 58-72, FEB 2018. (15/22199-9)

GALVIS, ANDRES F.; RODRIGUEZ, RENE Q.; SOLLERO, PAULO. Dynamic analysis of three-dimensional polycrystalline materials using the boundary element method. COMPUTERS & STRUCTURES, v. 200, p. 11-20, APR 15 2018. (15/22199-9)

RODRIGUEZ, R. Q.; MOURA, L. S.; GALVIS, A. F.; ALBUQUERQUE, E. L.; TAN, C. L.; SOLLERO, P.. Multi-scale dynamic failure analysis of 3D laminated composites using BEM and MCZM. Engineering Analysis with Boundary Elements, v. 104, p. 94-106, JUL 2019. (15/22199-9)

RODRIGUEZ, R. Q.; GALVIS, A. F.; SOLLERO, P.; TAN, C. L.; ALBUQUERQUE, E. L.. Transient dynamic analysis of generally anisotropic materials using the boundary element method. ACTA MECHANICA, v. 229, n. 4, p. 1893-1910, APR 2018. (15/22199-9)