Fundamental formulation for anti-plane eigenstrain problems

Ma, Lifeng

Abstract

In this paper, the anti-plane eigenstrain problems are addressed in the framework of plane strain. A fundamental solution for an anti-plane eigenstrain nucleus located in an infinite plane is derived first. With this solution, the anti-plane eigenstrain toughening problems are formulated by Green's function method, which includes plastic strain shielding problems and transformation toughening problems. Also, with the equivalent eigenstrain principle and the Green's function method, its application to formulating inhomogeneous inclusion problems subjected to anti-plane load is demonstrated. The fundamental formulations and the related examples introduced here may pave a way to explore more complex problems in the corresponding aspects.

Citation

Ma, L. (2022). Fundamental formulation for anti-plane eigenstrain problems. Mechanics of Materials, 165, Article 104188. https://doi.org/10.1016/j.mechmat.2021.104188

• Journal Article Type: Article
• Acceptance Date: Dec 8, 2021
• Online Publication Date: Dec 16, 2021
• Publication Date: 2022-02
• Deposit Date: Jun 30, 2023
• Journal: Mechanics of Materials
• Print ISSN: 0167-6636
• Electronic ISSN: 1872-7743
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 165
• Article Number: 104188
• DOI: https://doi.org/10.1016/j.mechmat.2021.104188
• Keywords: Mechanics of Materials; General Materials Science; Instrumentation
• Public URL: https://nottingham-repository.worktribe.com/output/22454042
• Publisher URL: https://www.sciencedirect.com/science/article/abs/pii/S0167663621003999?via%3Dihub