Damage-induced failure analysis of additively manufactured lattice materials under uniaxial and multiaxial tension

Molavitabrizi, Danial; Bengtsson, Rhodel; Botero, Carlos; Rännar, Lars‐Erik; Mousavi, Saed

doi:10.1016/j.ijsolstr.2022.111783

Cited by 7 publications

(3 citation statements)

References 42 publications

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“…The details of elastoplastic homogenization scheme (1st and 2nd python script in Fig. 1) are provided in [16], and we skip further explanation here. We simulate uniaxial strain-controlled tensile tests by applying macroscopic strains to the material unit-cell with PBC.…”

Section: Numerical Implementationmentioning

confidence: 99%

“…[7], [8], [9], [10] and [11], and (more recently) under tension, e.g. [12], [13], [14], [15], [16] and [17]. Most of these failure-related studies highlighted the role of manufacturing imperfections, and some thoroughly investigated the topic, e.g.…”

Section: Introductionmentioning

confidence: 99%

“…Most of these failure-related studies highlighted the role of manufacturing imperfections, and some thoroughly investigated the topic, e.g. see [8], [9], [14] and [16]. These imperfections (like void, strut waviness and surface roughness) often arise from additive manufacturing processes, and noticeably influence the material behavior.…”

Section: Introductionmentioning

confidence: 99%

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Second-order homogenization of 3-D lattice materials towards strain gradient media: numerical modelling and experimental verification

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The literature in the field of higher-order homogenization is mainly focused on 2-D models aimed at composite materials, while it lacks a comprehensive model targeting 3-D lattice materials (with void being the inclusion) with complex cell topologies. For that, a computational homogenization scheme based on Mindlin (type II) strain gradient elasticity theory is developed here. The model is based on variational formulation with periodic boundary conditions, implemented in the open-source software FreeFEM to fully characterize the effective classical elastic, coupling, and gradient elastic matrices in lattice materials. Rigorous mathematical derivations based on equilibrium equations and Hill–Mandel lemma are provided, resulting in the introduction of macroscopic body forces and modifications in gradient elasticity tensors which eliminate the spurious gradient effects in the homogeneous material. The obtained homogenized classical and strain gradient elasticity matrices are positive definite, leading to a positive macroscopic strain energy density value—an important criterion that sometimes is overlooked. The model is employed to study the size effects in 2-D square and 3-D cubic lattice materials. For the case of 3-D cubic material, the model is verified using full-field simulations, isogeometric analysis, and experimental three-point bending tests. The results of computational homogenization scheme implemented through isogeometric simulations show a good agreement with full-field simulations and mechanical tests. The developed model is generic and can be used to derive the effective second-grade continuum for any 3-D architectured material with arbitrary geometry. However, the identification of the proper type of generalized continua for the mechanical analysis of different cell architectures is yet an open question.

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Damage-induced failure analysis of additively manufactured lattice materials under uniaxial and multiaxial tension

Cited by 7 publications

References 42 publications

Hydrogen embrittlement in micro-architectured materials

Hydrogen embrittlement in micro-architectured materials

Comparison of Homogenization Techniques in Strain Gradient Elasticity for Determining Material Parameters

Second-order homogenization of 3-D lattice materials towards strain gradient media: numerical modelling and experimental verification

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