peridynamics

This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific focus on its theoretical foundations and practical implementations, including various PD formulations and PD operators. The objective is to highlight the unique attributes of each PD formulation and assess their suitability in the framework of material failure simulations by providing an extensive literature review.

Prof. Zdenek Bazant (Northwestern University, USA) sent me a copy of the plenary lecture he delivered at Int. Conf. on Damage Mechanics 4 at LSU on May 15, 2023, to be posted. The lecture is about a critique of the theoretical inconsistencies in the Phase Field and Peridynamics techniques. Remarkably interesting talk that will create a significant discussion about the validity of these methods..

Job Purpose: To make a leading research contribution to an industry-sponsored project on state-of-the-art finite element techniques to simulate needle penetration into skin working with the PI, A/Prof. Georges Limbert. You will join the national Centre for Advanced Tribology at Southampton (nCATS). In addition, you will work closely with the sponsor and contribute to the planning, writing and submission of reports and research publications.

Full Time Fixed Term for 18 months

Journal: International Journal of Fracture

Abstract: A simple nonlocal field theory of peridynamic type is applied to model brittle fracture. The kinetic relation for the crack tip velocity given by Linear Elastic Fracture Mechanics (LEFM) is recovered directly from the nonlocal dynamics, this is seen both theoretically and in simulations. An explicit formula for the change of internal energy inside a neighborhood enclosing the crack tip is found for the nonlocal model and applied to LEFM.

Onto resolving spurious wave reflection problem with changing nonlocality among various length scales

R. Rahman, J. T. Foster

Peridynamic theory of solids from the perspective of classical statistical mechanics

R. Rahman, J.T. Foster