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A SMOOTH C1 INTERPOLATION FOR TWO-DIMENSIONAL CONTACT PROBLEMS USING PARAMETRIC CURVE TECHNIQUE
引用本文:KouZhejun ChengJiangang YaoZhenhan WangFujun. A SMOOTH C1 INTERPOLATION FOR TWO-DIMENSIONAL CONTACT PROBLEMS USING PARAMETRIC CURVE TECHNIQUE[J]. Acta Mechanica Solida Sinica, 2003, 16(3): 205-209. DOI: 10.1007/s10338-003-0128-6
作者姓名:KouZhejun ChengJiangang YaoZhenhan WangFujun
作者单位:DepartmentofEngineeringMechanics,TsinghuaUniversity,Beijing100084,China
摘    要:
A smooth C1 interpolation for two-dimensional contact problems using paxametric curve technique was developed and implemented. The parametric curve can ensure C1 continuity of the contact surfaces and provide a unique surface normal vector. Some numerical examples were used to illustrate the advantages of the newly developed representation of contact surface. The results reveal a significant improvement in the prediction of contact stresses and contactarea. The predicted contact stresses are less sensitive to the mismatch in meshes of the different contacting bodies.

关 键 词:平稳插值 参数曲线 有限元方法 接触问题 弹性力学

A SMOOTH C~1 INTERPOLATION FOR TWO-DIMENSIONAL CONTACT PROBLEMS USING PARAMETRIC CURVE TECHNIQUE
Kou Zhejun Cheng Jiangang Yao Zhenhan Wang Fujun. A SMOOTH C~1 INTERPOLATION FOR TWO-DIMENSIONAL CONTACT PROBLEMS USING PARAMETRIC CURVE TECHNIQUE[J]. Acta Mechanica Solida Sinica, 2003, 16(3): 205-209. DOI: 10.1007/s10338-003-0128-6
Authors:Kou Zhejun Cheng Jiangang Yao Zhenhan Wang Fujun
Affiliation:(1) Department of Engineering Mechanics, Tsinghua University, 100084 Beijing, China
Abstract:
A smooth C~1 interpolation for two-dimensional contact problems using parametric curve technique was developed and implemented.The parametric curve can ensure C~1 continuity of the contact surfaces and provide a unique surface normal vector.Some numerical examples were used to illustrate the advantages of the newly developed representation of contact surface. The results reveal a significant improvement in the prediction of contact stresses and contact area.The predicted contact stresses are less sensitive to the mismatch in meshes of the different contacting bodies.
Keywords:smooth interpolation  parametric curve  contact  finite element
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