Subsurface Mechanics and Geo-Energy Laboratory

Institute of Eminence Research Initiative

Indian Institute of Technology Madras

July 18–22, 2022

Venue: IC&SR - IITM; in-person (Offline)

Course level: UG/PG (7th semester UG and above)

Discipline: Civil Eng./Applied Mechanics/Mechanical Eng./Aerospace Eng.

Lecture hours: 30 hours

Pre-requisites: An introductory course on Finite Element Method

Audience: Research scholars from universities in India, research engineers from private companies.

Registration fee: INR 1000 (students), INR 5000 (professionals), mandatory but free registration for IITM students. Registration fee to be paid by a Cheque or Demand Draft or Online payment in the name of "Indian Geotechnical Society Chennai Chapter".
SBI Current Account No: 36051682340.
IFSC Code: SBIN0006463


Course Description

This course will provide the students with an introduction to computational methods used in modeling material failure and fracture within a finite element framework. The course will begin by introducing the concepts of brittle fracture mechanics and the concepts of linear elastic fracture mechanics. The course will then discuss the cohesive zone model. Subsequently, computational aspects of the two methods will be discussed. In particular, evaluation of stress intensity factors using J-integrals, interaction integrals, and the virtual crack closure technique will be described. Further, numerical representation of fracture surface as a sharp interface will be discussed. Computational artifacts such as mesh-dependence will be highlighted and solutions such as enriched finite element formulations will be discussed. The course will then discuss a contrasting numerical approach that represents a fracture surface as a diffuse interface. Continuum damage mechanics, gradient-enhanced damage models, and phase-field methods will be described. Finally, the course will conclude by discussing open research problems in computational fracture mechanics and placing the various methods in context.

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