Propagating material instabilities in planar architectured materials
TypeArticles dans des revues avec comité de lecture
Under tension low carbon steel exhibits inhomogeneous plastic deformation. This instability called Piobert-Lüders banding creates fronts of localized strain that propagate in the structure. To date, Lüders banding has been studied experimentally and numerically only in simple geometries like sheets, tubes and normalized fracture mechanics specimens. This paper focuses on architectured materials and specifically lattice structures which can be defined as a tessellation of unit-cells periodically distributed in space. This class of advanced materials draws new mechanical properties from its inner architecture. We investigate the effect of the architecture on the global behavior of the structure. Especially, how bands interact with the lattice and how to control initiation and propagation of localized strain using the architecture. An elastoplastic material model is used in order to simulate the Piobert-Lüders band formation and propagation. The model also considers a large deformation framework for elastoplasticity with periodic boundary conditions in order to represent the architectured material. Initiation and propagation of material instabilities depend on the geometry as well as its on the relative orientation with respect to the loading direction. Propagating and non-propagating behaviors are identified for the Piobert-Lüders bands and related to the different types of geometry. Material instabilities affect the mechanical behavior of the structure as far as they are governed by the architecture. These conclusions are compared to experimental results from tensile tests on laser-architectured specimens made of ARMCO steel.
Files in this item
Showing items related by title, author, creator and subject.
DIRRENBERGER, Justin; FOREST, Samuel; JEULIN, Dominique (Elsevier, 2014)The size of representative volume element (RVE) for 3D stochastic fibrous media is investigated. A statistical RVE size determination method is applied to a specific model of random microstructure: Poisson fibers. The ...
Isogeometric shape optimization of smoothed petal auxetic structures via computational periodic homogenization WANG, Zhen-Pei; POH, Leong Hien; DIRRENBERGER, Justin; ZHU, Yilin; FOREST, Samuel (Elsevier, 2017)An important feature that drives the auxetic behaviour of the star-shaped auxetic structures is the hinge-functional connection at the vertex connections. This feature poses a great challenge for manufacturing and may lead ...
DIRRENBERGER, Justin; FOREST, Samuel; JEULIN, Dominique (Springer New York, 2019)Architectured materials involve geometrically engineered distributions of microstructural phases at a scale comparable to the scale of the component, thus calling for new models in order to determine the effective properties ...
WANG, Zhen-Pei; POH, Leong Hien; ZHU, Yilin; DIRRENBERGER, Justin; FOREST, Samuel (Elsevier, 2019)This paper focuses on a systematic isogeometric design approach for the optimal petal form and size characterization of tetra-petals auxetics, considering both plane stress and plane strain conditions. The underlying ...
ERNAULT, Esteve; DIRRENBERGER, Justin; RICHAUD, Emmanuel; FAYOLLE, Bruno (Elsevier, 2019)A methodology to predict the formation of superficial stress during the diffusion-limited oxidation of thick epoxy/amine samples is proposed. This quantitative methodology is based on the understanding of mechanisms ...