Abstract
A novel numerical framework for low cycle fatigue analysis of lattice materials is presented. The framework is based on computational elastoplastic homogenization equipped with the theory of critical distance to address the fatigue phenomenon. Explicit description of representative volume element and periodic boundary conditions are combined for computational efficiency and elimination of the boundary effects. The proposed method is generic and applicable to periodic micro-architectured materials. The method has been applied to 2-D auxetic and 3-D kelvin lattices. The classical Coffin-Manson and Morrow models are used to provide fatigue life predictions (strain-life curves). Predicted fatigue lives for the auxetic lattice are shown to provide good correspondence to experimentally found fatigue lives from the literature.
Highlights
The term “metamaterial” refers to lightweight, architectured mate rials with tailored properties
low cycle fatigue (LCF) behavior of sample topologies are characterized by providing the fatigue life predictions for a range of load amplitudes
It is possible to characterize their mechanical behavior by studying a single unit-cell, referred to as a representative volume element (RVE), along with periodic boundary condition (PBC)
Summary
The term “metamaterial” refers to lightweight, architectured mate rials with tailored properties. Earlier studies on the fatigue behavior of lattice materials were mainly experimental, with the aim of obtaining the stress-life (S–N or Wohler) curve in high cycle regime, e.g. Demiray et al (2009) studied the high cycle fatigue (HCF) behavior of 3-D kelvin cell by using a micromechanical model with beam elements. Khalil Abad et al (Masoumi Khalil Abad et al, 2013) used continuum shell elements to computationally analyze the HCF behavior of 2-D square and hexagonal lattices They used 3-D solid elements to improve the simulation accuracy, as Simone and Gibson (1998) reported that numerical models with beam elements cannot capture stress con centrations at lattice joints (nodes) and may provide unreal istic fatigue life predictions. LCF behavior of sample topologies are characterized by providing the fatigue life predictions for a range of load amplitudes
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