Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review
Source abstract
Abstract
Three alternative approaches, namely the extended/generalized finite element method (XFEM/GFEM), the scaled boundary finite element method (SBFEM) and phase field methods, are surveyed and compared in the context of linear elastic fracture mechanics (LEFM). The purpose of the study is to provide a critical literature review, emphasizing on the mathematical, conceptual and implementation particularities that lead to the specific advantages and disadvantages of each method, as well as to offer numerical examples that help illustrate these features.
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Research context
OpenAlex topics: Numerical methods in engineering · Fluid Dynamics Simulations and Interactions · Advanced Numerical Methods in Computational Mathematics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Institute of Structural Engineering, D-BAUG, 8093 ETH Zurich, Switzerland
Centre for Structural Engineering and Informatics, Faculty of Engineering, The University of Nottingham, NG7 2RD Nottingham, UK
Centre for Additive Manufacturing, Faculty of Engineering, The University of Nottingham, NG7 2RD Nottingham, UK
Funding
H2020 Marie Skłodowska-Curie Actions · Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
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