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A ‘FE-Meshfree’ TRIA3 element based on partition of unity for linear and geometry nonlinear analyses.

หน่วยงาน Nanyang Technological University, Singapore

รายละเอียด

ชื่อเรื่อง : A ‘FE-Meshfree’ TRIA3 element based on partition of unity for linear and geometry nonlinear analyses.
นักวิจัย : Xu, J. P. , Rajendran, S.
คำค้น : -
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2555
อ้างอิง : Xu, J. P.,& Rajendran, S. (2013). A ‘FE-Meshfree’ TRIA3 element based on partition of unity for linear and geometry nonlinear analyses. Computational Mechanics, 51(6), 843-864. , http://hdl.handle.net/10220/13118 , http://dx.doi.org/10.1007/s00466-012-0762-2
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : Computational mechanics
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

A new 3-node triangular element is developed on the basis of partition of unity (PU) concept. The formulation employs the parametric shape functions of classical triangular element (TRIA3) to construct the PU and the least square point interpolation method to construct the local displacement approximation. The proposed element synergizes the individual merits of finite element method and meshfree method. Moreover, the usual linear dependence problem associated with PU finite elements is eliminated in the present element. Application of the element to several linear and geometric nonlinear problems shows that the proposed element gives a performance better than that of classical linear triangular as well as linear quadrilateral elements, and comparable to that of quadratic quadrilateral element. The proposed element does not necessitate a new mesh or additional nodes in the mesh. It uses the same mesh as the classical TRIA3 element and is able to give more accurate solution than the TRIA3 element.

บรรณานุกรม :
Xu, J. P. , Rajendran, S. . (2555). A ‘FE-Meshfree’ TRIA3 element based on partition of unity for linear and geometry nonlinear analyses..
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Xu, J. P. , Rajendran, S. . 2555. "A ‘FE-Meshfree’ TRIA3 element based on partition of unity for linear and geometry nonlinear analyses.".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Xu, J. P. , Rajendran, S. . "A ‘FE-Meshfree’ TRIA3 element based on partition of unity for linear and geometry nonlinear analyses.."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2555. Print.
Xu, J. P. , Rajendran, S. . A ‘FE-Meshfree’ TRIA3 element based on partition of unity for linear and geometry nonlinear analyses.. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2555.