کد مقاله کد نشریه سال انتشار مقاله انگلیسی ترجمه فارسی نسخه تمام متن
4963691 1364967 2018 20 صفحه PDF سفارش دهید دانلود کنید
عنوان انگلیسی مقاله
Shape optimization using the cut finite element method
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Shape optimization using the cut finite element method
چکیده انگلیسی


- Shape optimization using a cut finite element method for linear elasticity.
- The evolving geometry is described using a level-set representation.
- For higher order finite elements we use a refined grid for the level-set.
- The geometry is evolved by solving a transport problem based on the shape derivative.

We present a cut finite element method for shape optimization in the case of linear elasticity. The elastic domain is defined by a level-set function, and the evolution of the domain is obtained by moving the level-set along a velocity field using a transport equation. The velocity field is the largest decreasing direction of the shape derivative that satisfies a certain regularity requirement and the computation of the shape derivative is based on a volume formulation. Using the cut finite element method no re-meshing is required when updating the domain and we may also use higher order finite element approximations. To obtain a stable method, stabilization terms are added in the vicinity of the cut elements at the boundary, which provides control of the variation of the solution in the vicinity of the boundary. We implement and illustrate the performance of the method in the two-dimensional case, considering both triangular and quadrilateral meshes as well as finite element spaces of different order.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 328, 1 January 2018, Pages 242-261
نویسندگان
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