کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7174260 1464989 2015 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A stabilization approach for mesh-free simulations of systems developing shocks or extreme strain localizations
ترجمه فارسی عنوان
یک رویکرد تثبیت برای شبیه سازی مش بدون سیستم در حال توسعه شوک ها و یا محلی سازی های شدید فشار
کلمات کلیدی
تثبیت تصادفی، محدودیت ها و نوآوری ها، شوک، نوسانات بدلی، پلاستیک گرادیان، باند برشی،
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی
A new stabilization scheme, based on a stochastic representation of the discretized field variables, is proposed with a view to reduce or even eliminate unphysical oscillations in the mesh-free numerical simulations of systems developing shocks or exhibiting localized bands of extreme deformation in the response. The origin of the stabilization scheme may be traced to nonlinear stochastic filtering and, consistent with a class of such filters, gain-based additive correction terms are applied to the simulated solution of the system, herein achieved through the element-free Galerkin method, in order to impose a set of constraints that help arresting the spurious oscillations. The method is numerically illustrated through its applications to inviscid Burgers' equations, wherein shocks may develop as a result of intersections of the characteristics, and to a gradient plasticity model whose response is often characterized by a developing shear band as the external load is gradually increased. The potential of the method in stabilized yet accurate numerical simulations of such systems involving extreme gradient variations in the response is thus brought forth.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Mechanical Sciences - Volume 91, February 2015, Pages 18-32
نویسندگان
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