Multi-scale quasistatic damage evolution for polycrystalline materials

2012 ◽  
Vol 58 ◽  
pp. 85-94
Author(s):  
Robert Lipton ◽  
Michael Stuebner ◽  
Yuanjie Lua
Keyword(s):  
Damage Evolution ◽  
Polycrystalline Materials ◽  
Multi Scale

A New Sampling Approach for the Multi-Scale Design of Metallic Materials

2020 ◽  
Vol 142 (8) ◽  
Author(s):  
Pinar Acar
Keyword(s):  
Material Properties ◽  
Sampling Method ◽  
Solution Space ◽  
Computational Time ◽  
Polycrystalline Materials ◽  
Microstructure Design ◽  
Multi Scale ◽  
Generate Property ◽  
Scale Design ◽  
Sampling Approach

Abstract We present a new sampling method for the multi-scale design of polycrystalline materials, which improves the computational time efficiency compared to the existing computational approaches. The solution strategy aims to find microstructure designs that optimize component-scale mechanical properties. The microstructure is represented with a probabilistic texture descriptor that quantifies the volume fractions of different crystallographic orientations. However, the original microstructure design space is high-dimensional and thus optimization in this domain is not favorable. Instead, we generate property closures, which are the reduced spaces of volume-averaged material properties that are computed in terms of the microstructural texture descriptors. We observe that the traditional design approaches which are based on sampling in the original microstructure space and sampling on the property closure are inefficient as they lead to highly concentrated design samples in the solution space. Therefore, we introduce a new sampling method in the property closure, which creates simplexes using the triangulation of the property hull and then generating samples for each simplex. Example problems include the optimization of Galfenol and α-titanium microstructures to improve non-linear material properties. The new sampling approach is shown to obtain better solutions while decreasing the required computational time compared to the previous microstructure design methods.

A Multi-Scale Modeling Approach to Simulate Intergranular Crack Propagation in Textured Polycrystalline Materials

2011 ◽  
Vol 702-703 ◽  
pp. 932-938
Author(s):  
Muhammad A. Arafin ◽  
Jian Lu ◽  
Jerzy Szpunar
Keyword(s):  
Crack Propagation ◽  
Intergranular Crack ◽  
Md Simulations ◽  
Polycrystalline Materials ◽  
Embedded Atom Method ◽  
Multi Scale ◽  
Modeling Approach ◽  
Embedded Atom ◽  
Scale Modeling ◽  
Different Types

In this paper, a multiscale modeling approach has been developed to simulate the intergranular crack propagation in textured polycrystalline materials. Embedded Atom Method (EAM) and Molecular Dynamics (MD) simulations were carried out to determine the energy and fracture strength of different types of grain boundaries in Ni3Al. Subsequently, the atomistic model has been integrated with the microstructure based model of crack propagation using the Voronoi-Markov Chain-Monte Carlo approach. The model has been utilized to evaluate the crack length for various scenarios and reasonable results are obtained.

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