Applications of the Trefftz method to the anti-plane fracture of 1D hexagonal piezoelectric quasicrystals

DOI10.1016/j.enganabound.2021.06.025OpenAlexW3180935410MaRDI QIDQ1980162

Xiaolin Cao, Zhaoxia Li, Bangjian Liu, Jia-Xing Cheng

Publication date: 3 September 2021

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2021.06.025

zbMATH Keywords

fracturestress intensity factorsenergy release ratescollocation Trefftz method1D hexagonal piezoelectric quasicrystals

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Cites Work

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• Combined Trefftz methods of particular and fundamental solutions for corner and crack singularity of linear elastostatics
• The fracture behavior of multiple cracks emanating from a circular hole in piezoelectric materials
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• Trefftz indirect method applied to nonlinear potential problems
• Application of conformal mappings and the numerical analysis of conditioning of the matrices in Trefftz method for some boundary value problems
• A Trefftz collocation method (TCM) for three-dimensional linear elasticity by using the Papkovich-Neuber solutions with cylindrical harmonics
• Many names of the Trefftz method
• An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length
• Trefftz approximations in complex media: accuracy and applications
• A Yoffe-type moving crack in one-dimensional hexagonal piezoelectric quasicrystals
• A semi-inverse method of a Griffith crack in one-dimensional hexagonal quasicrystals
• Trefftz, collocation, and other boundary methods—A comparison
• Direct solution procedure for solution of harmonic problems using complete, non-singular, Trefftz functions
• Solution of Helmholtz equation by Trefftz method
• Trefftz method: An overview
• Trefftz direct method

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