The micro-damage associated with diffuse fracture processes in quasi-brittle materials can be described by continuum damage mechanics. In order to overcome the mesh dependence of local damage formulations, non-local and gradient-enhanced approaches are often employed. In this manuscript, a higher-order stress-based gradient-enhanced formulation is proposed, which exploits the higher-order continuity of B-spline functions in isogeometric analysis (IGA). The proposed formulation does not require the decomposition of the fourth-order model into two second-order models. Two numerical examples are presented to demonstrate the performance of the formulation and to compare the obtained solutions with results from conventional gradient-enhanced damage formulation.
|Number of pages
|Computer Methods in Applied Mechanics and Engineering
|Published - 2016 Jun 1
Bibliographical notePublisher Copyright:
© 2016 Elsevier B.V.
Copyright 2017 Elsevier B.V., All rights reserved.
- Gradient enhanced damage
- Higher-order functions
- Isogeometric analysis
- Stress-level dependent damage model
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- General Physics and Astronomy
- Computer Science Applications