کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
513343 866470 2009 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Evaluation of the degenerate scale for BIE in plane elasticity and antiplane elasticity by using conformal mapping
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Evaluation of the degenerate scale for BIE in plane elasticity and antiplane elasticity by using conformal mapping
چکیده انگلیسی

For a better understanding for the formulation of the degenerate scale problem by using the complex variable, preliminary knowledge is introduced. Formulation for the degenerate scale problem is based on the direct usage of the complex variable and the conformal mapping. After using the conformal mapping, the vanishing displacement condition is assumed on the boundary of unit circle. The complex potentials on the mapping plane are sought in a form of superposition of the principal part and the complementary part. The principal part of the complex potentials is given beforehand, and the complementary part plays a role for compensating the displacement along the boundary from the principal part. After using the appropriate complex potentials, the boundary displacement becomes one term with the form of g(R)−c (g(R) a function of R), where R denotes a length parameter. By letting the vanishing displacement on the boundary, or g(R)−c=0, the degenerate scale “R” is obtained. For four cases, the elliptic contour, the triangle contour, the square contour and the ellipse-like contour, the degenerate scales are evaluated in a closed form. For the case of antiplane elasticity, similar degenerate scale problems are solved.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 33, Issue 2, February 2009, Pages 147–158
نویسندگان
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