A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials. Part I: Theory and numerical implementation

By Horacio Espinosa, Pablo D. Zavattieri. 2003

386 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/04c7cbd03e84f96d18c2bc91f649e537f4d4ccfc

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In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

A micromechanical basis for partitioning the evolution of grain bridging in brittle materials (2007, neutral): “In a series of papers (Zavattieri and Espinosa, 2001; Zavattieri et al., 2001; Espinosa and Zavattieri, 2003a,b; Zavattieri and Espinosa, 2003) Zavattieri, Espinosa and coworkers examined the dynamic fragmentation of ceramic microstructures, with both digitized and synthesized microstructures being…”
A bilinear cohesive zone model tailored for fracture of asphalt concrete considering viscoelastic bulk material (2006, methodology): “Recently, Espinosa and Zavattieri [8] formulated a bilinear model to reduce CZM compliance by providing an adjustable initial slope in the cohesive law.”
Multi-phase-field modeling of anisotropic crack propagation for polycrystalline materials (2017, neutral): “The application of CZM to polycrystalline brittle materials can be found in [15,16], where the initiation and evolution of failure under quasi-static and dynamic loading was investigated.”
A scalable 3D fracture and fragmentation algorithm based on a hybrid, discontinuous Galerkin, Cohesive Element Method (2011, background): “γ(2)∆(2)m + ∆ 2 n (15) In this expression, ∆n is the positive normal separation along the unit local normal in the deformed configuration n, ∆m is the tangential separation along the unit local tangent in the deformed configuration m, and γ is a parameter which assigns different weights to normal an”
A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media (2014, methodology): “In previous studies, the Boundary Element method and the Finite Element method were used to predict intergranular fracture (Espinosa and Zavattieri 2003a; Yousef et al. 2005; Sfantos and Aliabadi 2007; Benedetti and Aliabadi 2013a), and the FEM and particularly the X-FEM were used to predict…”
On the mechanics of mother-of-pearl: a key feature in the material hierarchical structure (2007, background): “These elements have zero thickness and their behavior is formulated as a function of displacement jumps across the interface (Camacho and Ortiz, 1996; Espinosa and Zavattieri, 2003a, b).”
Dynamic plasticity and fracture in high density polycrystals: constitutive modeling and numerical simulation (2005, background): “…strain-rate-dependence of the cohesive laws (cf. Costanzo and Walton, 2002), and statistical variations in cohesive strengths among interfaces (Espinosa and Zavattieri, 2003a, b; Zhou and Molinari, 2004) is beyond the scope of the present effort, and beyond the support of the limited…”
Merger of structure and material in nacre and bone - Perspectives on de novo biomimetic materials (2009, background): “In order to model the interaction between the tablets, cohesive elements [66–69] were inserted on the tablet’s faces and sides.”