کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1562596 999591 2010 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Computing mechanical response variability of polycrystalline microstructures through dimensionality reduction techniques
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Computing mechanical response variability of polycrystalline microstructures through dimensionality reduction techniques
چکیده انگلیسی

Many areas of material science involve analyzing and linking the material microstructure with macro-scale properties. Constructing low-dimensional representations of microstructure variations would greatly simplify and accelerate materials design and analysis tasks. We develop a mathematical strategy for the data-driven generation of low-dimensional models that represents the variability in polycrystal microstructures while maintaining the statistical properties that these microstructures satisfy. This strategy is based on a nonlinear dimensionality reduction framework that maps the space of viable grain size variability of microstructures to a low-dimensional region and a linear dimensionality reduction technique (Karhunen–Loève Expansion) to reduce the texture representation. This methodology allows us to sample microstructure features in the reduced-order space thus making it a highly efficient, low-dimensional surrogate for representing microstructures (grain size and texture). We demonstrate the model reduction approach with polycrystal microstructures and compute the variability of homogenized properties using a sparse grid collocation approach in the reduced-order space that describes the grain size and orientation variability.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computational Materials Science - Volume 49, Issue 3, September 2010, Pages 568–581
نویسندگان
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