Development of a Work-controlled Algorithm for the Variational Approach to Fracture Mechanics and Its Application to Sandstone Burst Experiments

Identifier

etd-11162014-140834

Degree

Master of Science (MS)

Department

Mathematics

Document Type

Thesis

Abstract

In this thesis we use the variational approach to fracture mechanics to study the burst experiments on sandstone. We develop a new work controlled algorithm that helps to remedy sudden crack propagation and adds to the accuracy of the predicted loads. We show that the numerical simulations based on the variational approach to fracture mechanics accurately predict the burst pressures for the zero outer pressure tests. We identify the main contributing issues that result in deviation of the numerical results from the experimental observations and suggest some modifications to limit these problems.

Date

2014

Document Availability at the Time of Submission

Secure the entire work for patent and/or proprietary purposes for a period of one year. Student has submitted appropriate documentation which states: During this period the copyright owner also agrees not to exercise her/his ownership rights, including public use in works, without prior authorization from LSU. At the end of the one year period, either we or LSU may request an automatic extension for one additional year. At the end of the one year secure period (or its extension, if such is requested), the work will be released for access worldwide.

Committee Chair

Bourdin, Blaise A

DOI

10.31390/gradschool_theses.3007

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