Abstract
Microstructural effects become important at regions of stress concentrators such as notches, cracks and contact surfaces. A multiscale model is presented that efficiently captures microstructural details at such critical regions. The approach is based on a multiresolution mesh that includes an explicit microstructure representation at critical regions where stresses are localized. At regions farther away from the stress concentration, a reduced order model that statistically captures the effect of the microstructure is employed. The statistical model is based on a finite element representation of the orientation distribution function (ODF). As an illustrative example, we have applied the multiscaling method to compute the stress intensity factor K I around the crack tip in a wedge-opening load specimen. The approach is verified with an analytical solution within linear elasticity approximation and is then extended to allow modeling of microstructural effects on crack tip plasticity.
Highlights
Efficient micro-scale modeling tools are needed to compute microstructure-dependent properties of advanced structural alloys used in aerospace, naval and automotive applications [1]
Microstructural effects become an important consideration in regions of stress concentrations such as notches, cracks and contact surfaces
While the crystal plasticity finite element (CPFE) method has emerged as an effective tool for simulating the mechanical response of aggregates of a few hundred metallic crystals, the simulation of ‘macro-scale’ components that contain millions of grains is a challenging task even when using current state-of-the-art supercomputers
Summary
Efficient micro-scale modeling tools are needed to compute microstructure-dependent properties of advanced structural alloys used in aerospace, naval and automotive applications [1]. A popular example is the computational homogenization approach [2,3] where volume averaging schemes are employed to extract macroscale properties In concurrent methods, both fine- and coarse-scale problems are solved together in a single domain using multi-resolution meshes. The interface problem is solved through the use of a single physical model at both the fine and coarse scales This is achieved (i) by explicitly resolving single-crystal deformation at the fine scale (crack tip) using a crystal plasticity model and (ii) by employing a hierarchical multiscale model at the coarse scale (far region), where polycrystal aggregates are homogenized using the same crystal plasticity model. The macroscale element has an orientation distribution function (ODF) in each integration point representing hundreds to thousands of crystals
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