A Fragile Points Method, with an interface debonding model, to simulate damage and fracture of U-notched structures

• DOI: 10.48550/arxiv.2108.12737
• Publication Date: 2021-01-01
• Authors: Kailei Wang; Baoying Shen; Mingjing Li; Leiting Dong; Satya N. Atluri
• Keywords: Brittleness; Interface (matter)

Notched components are commonly used in engineering structures, where stress concentration may easily lead to crack initiation and development. The main goal of this work is develop a simple numerical method predict the structural strength crack-growth-path U-notched specimens made brittle materials. For purpose, Fragile Points Method (FPM), as previously proposed by authors, has been augmented an interface debonding model at interfaces FPM domains, simulate formulations based on discontinuous Galerkin weak form point-based piece-wise-continuous polynomial test trial functions instead element-based basis functions. In work, fluxes introduced across interior between subdomains postulated tractions acting derived from damage model. triggered when flux reaches strength, process crack-surface separation governed fracture energy. way, arbitrary propagation can be naturally simulated without need for knowing fracture-patch before-hand. Additionally, small penalty parameter sufficient enforce weak-form continuity condition before initiation, causing problems such artificial compliance ill-conditioning. As validations, with crack-development structures materials, which useful but challenging design practices.