Affiliation:
1. Institute of Mathematics and Descriptive Geometry Brno University of Technology, Faculty of Civil Engineering 602 00 Brno, Veveˇr´ı 331/95 CZECH REPUBLIC
Abstract
Computational analysis of strength of quasi-brittle materials, crucial for the durability of building structures and industrial components, needs typically a smeared damage approach, referring to the Eringen theory of nonlocal elasticity. Unfortunately its ad hoc constitutive relations cannot avoid potential divergence of sequences of approximate solutions, exploiting some extended finite element techniques, as well as questionable or missing existence results for corresponding boundary value problems. Introducing a simple static partially linearized model problem of such type, this article demonstrates some relevant remedies and their limitations, with numerous references to desirable generalizations
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Subject
Mechanical Engineering,Mechanics of Materials,General Materials Science
Reference45 articles.
1. S. Altan, Existence in nonlocal elasticity, Arch. Mech. 41, 1989, pp. 25–36.
2. T. Belytchko and T. Black, Elastic crack growth in finite elements with minimal remeshing, Int. J. Numer. Meth. Engrg. 45, 1999, 601–620.
3. M. Bybordiania and D. Dias da Costa, A consistent finite element approach for dynamic crack propagation with explicit time integration, Computer Methods in Applied Mechanics and Engineering 376, 2021, pp. 113652 / 1–32.
4. R.-B. Deng and X.-L. Jin, Numerical simulation of bridge damage under blast loads, WSEAS Transactions on Computers 9, 2009, 1564–1574.
5. P. Dr´abek and I. Milota, Methods of Nonlinear Analysis, Birkh¨auser, Basel, 2013.
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献