Numerical implementation of peridynamic constitutive models

• Grant number: 16/23777-9
• Support Opportunities: Scholarships abroad - Research Internship - Scientific Initiation
• Start date: January 16, 2017
• End date: March 11, 2017
• Field of knowledge: Engineering - Mechanical Engineering - Mechanics of Solids
• Principal Investigator: Adair Roberto Aguiar
• Grantee: Túlio Vinícius Berbert Patriota
• Supervisor: Pablo Seleson
• Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Oak Ridge National Laboratory (ORNL), United States
• Associated to the scholarship: 16/12529-4 - Study of torsion of cylindrical shaft in the context of the peridynamic theory, BP.IC

Abstract

The aim of this project is to visit ORNL in order to develop and implement computational routines based on isotropic, linear elastic peridynamic constitutive models. The peridynamic theory is an extension of the classical continuum mechanics theory, based on long-range interactions between material points separated by finite distances, which allows modeling of discontinuities such as cracks. The routines will be developed in MATLAB and, eventually, implemented in the computational code Peridigm, which was developed at Sandia National Laboratories to simulate fracture of materials using peridynamic models. A model to be implemented was proposed by the advisor. The computational routines will be used to simulate classical problems in mechanics, such as anti-plane shear and torsion of cylindrical bars, and the results obtained from these simulations will be compared with results from the classical linear elasticity theory and from other constitutive models in the peridynamic theory. This work is part of the research activities to be developed by the student in the FAPESP project entitled "Study of torsion of cylindrical shafts in the context of the peridynamic theory", Proc. # 2016/12529-4. (AU)