کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
500730 | 863107 | 2005 | 47 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An analysis of dual formulations for the finite element solution of two-body contact problems
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper examines the convergence properties of dual finite element formulations of the two-dimensional frictionless two-body contact problem under the assumption of infinitesimal kinematics. The centerpiece of the proposed analysis is the well-known Babuška–Brezzi condition, suitably adapted to the present problem. It is demonstrated for certain canonical geometries that several widely used methods that employ pressure or force interpolations derived from the discretizations of both surfaces violate the Babuška–Brezzi condition, thus producing increasingly oscillatory solutions under mesh refinement. Alternative algorithms are proposed that circumvent this difficulty and are shown to yield convergent solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 194, Issues 25–26, 1 July 2005, Pages 2734–2780
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 194, Issues 25–26, 1 July 2005, Pages 2734–2780
نویسندگان
Jerome M. Solberg, Panayiotis Papadopoulos,