A second strain gradient damage model with a numerical implementation for quasi-brittle materials with micro-architectures

Tuan H. A. Nguyen*, Jarkko Niiranen

*Tämän työn vastaava kirjoittaja

Tutkimustuotos: LehtiartikkeliArticleScientificvertaisarvioitu

5 Sitaatiot (Scopus)

Abstrakti

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.

AlkuperäiskieliEnglanti
Artikkeli1081286519884695
Sivut515-546
Sivumäärä32
JulkaisuMATHEMATICS AND MECHANICS OF SOLIDS
Vuosikerta25
Numero3
Varhainen verkossa julkaisun päivämäärä4 marraskuuta 2019
DOI - pysyväislinkit
TilaJulkaistu - 1 maaliskuuta 2020
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

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