A second strain gradient damage model with a numerical implementation for quasi-brittle materials with micro-architectures
| Autor: | Jarkko Niiranen, Tuan H.A. Nguyen |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Materials science
Characteristic length General Mathematics Phase field models 02 engineering and technology Mechanics Isogeometric analysis Strain gradient 01 natural sciences Finite element method 010101 applied mathematics 020303 mechanical engineering & transports Brittleness 0203 mechanical engineering Mechanics of Materials Fracture (geology) General Materials Science 0101 mathematics Elasticity (economics) |
| Zdroj: | Mathematics and Mechanics of Solids. 25:515-546 |
| ISSN: | 1741-3028 1081-2865 |
| Popis: | In this paper, a quasi-brittle damage model for micro-architectural materials is presented within the framework of isogeometric analysis to exploit the high-order continuity of the non-uniform B-spline basis functions. The constitutive relation depends not only on the strain field, but also on their first and second strain gradient terms. The simplified second-gradient elasticity formulation from Mindlin’s theory is employed with corresponding micro-architecture-related length scales to capture the material nonlocality and size effects. The strain-based damage is modelled by a nonlocal independent field coupled to the displacement field. Influences of the two types of nonlocalities (manufactured micro-architectures and damage-induced micro-defects) on the response of structures, as well as the damage initiation and propagation, are analysed through numerical experiments. A formula to determine the micro-defect-related length scale from macroscopic measurements is proposed, boosting the accuracy and applicability of the model. In addition, relevant open problems and further developments of this damage model are discussed. |
| Databáze: | OpenAIRE |
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