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USACM Large-Scale TTA Early-Career Colloquium (virtual)
Wednesday, April 06, 2022, 1:00 PM - 2:00 PM CST
Category: Events

USACM Large-Scale TTA Early-Career Colloquium (virtual)

Peridynamics for Simulation of Fracture Mechanics Problems

Masoud Behzadinasab
Brown University



Understanding the fracture phenomena, i.e., catastrophic material failure, remains a major challenge in a variety of fields within science and engineering. While limited analytical solutions exist for fracture mechanics problems and experiments are often costly in many practical cases, computational methods and simulations are commonly used in practice for analysis, design, and optimization of materials, structures, buildings, and vehicles. Therefore, it is imperative to develop accurate, efficient, and robust predictive models for simulating the response of solids and structures in real-world scenarios such as in extreme conditions involving large deformation, fracture, and fragmentation (e.g. blast events). Computational fracture mechanics has been an active area of research for several decades. Novel methods have emerged over the last two decades for solving fracture mechanics problems such as the peridynamic (PD) theory, the extended finite element method (XFEM), and phase-field fracture models. The continuum PD model, which is based on an integro-differential formulation, has increasingly attracted the attention of researchers in computational solid mechanics due to its natural capabilities in handling material discontinuity and autonomous crack growth. In this talk, I will summarize the key developments in the field of peridynamics and arrive at a conclusion that two schools of PD are emerging in recent years. One school takes a more traditional view of "PD as a model" of a nonlocal continuum, while another approaches "PD as a discretization" methodology for local continua where the nonlocality is reduced under mesh refinement. The focus of this talk will be on correspondence-based PD, which enables the use of classical constitutive models. I will present: 1) a ductile fracture PD model and its application to the third Sandia Fracture Challenge, 2) a PD Kirchhoff--Love shell formulation for the failure analysis of thin-walled structures undergoing inelastic large deformations, 3) a recently developed PD formulation corresponding to the now classical, yet continuously evolving Microplane constitutive model (the M7 version) for the failure analysis of concrete materials, and 4) an immersed coupling of isogeometric analysis and peridynamics for the simulation of blast-induced fluid-structure interaction. Several numerical examples are provided to showcase the applications of peridynamics to fracture mechanics problems and how it can enhance our predictive capabilities in extreme events.


Masoud Behzadinasab is currently a Postdoctoral Research Associate in the Computational Mechanics group at Brown University led by Prof. Yuri Bazilevs. Prior to joining Brown in January 2020, he earned his PhD in Engineering Mechanics, supervised by Prof. John Foster, from the University of Texas at Austin. His research is in computational solid mechanics and mainly focused on developing novel methods for fracture mechanics problems. Masoud is a recipient of the 2019 IMECE Best Student Poster Award on Computational Mechanics and the inaugural 2021 Thomas J. R. Hughes Fellowship from the USNC/TAM.

Sponsored by USACM Technical Thrust Area on Large Scale Structural Systems and Optimal Design.
Contact for information about the seminar: [email protected]