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ANALYSIS OF CRACKS IN TRANSVERSELY ISOTROPIC, LINEAR ELASTIC HALF-SPACE BY WEAKLY SINGULAR BOUNDARY INTEGRAL EQUATION METHOD

หน่วยงาน จุฬาลงกรณ์มหาวิทยาลัย

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ชื่อเรื่อง : ANALYSIS OF CRACKS IN TRANSVERSELY ISOTROPIC, LINEAR ELASTIC HALF-SPACE BY WEAKLY SINGULAR BOUNDARY INTEGRAL EQUATION METHOD
นักวิจัย : Tien Ngoc Pham
คำค้น : -
หน่วยงาน : จุฬาลงกรณ์มหาวิทยาลัย
ผู้ร่วมงาน : Jaroon Rungamornrat , Withit Pansuk , Yasuhiko Sato , Chulalongkorn University. Faculty of Engineering
ปีพิมพ์ : 2558
อ้างอิง : http://cuir.car.chula.ac.th/handle/123456789/49352
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : -
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

Thesis (Ph.D.)--Chulalongkorn University, 2015

This dissertation presents an efficient numerical technique for the analysis of stress intensity factors and T-stress components for arbitrary-shaped cracks in a homogeneous, linear elastic half-space under various conditions on the free surface. The key governing equations are established in a form of weakly singular boundary integral equations involving both unknown relative and sum of the crack-face displacements. A systematic regularization technique based on the integration by parts and special decompositions of singular kernels is adopted to regularize all involved strongly singular and hyper-singular integrals to those containing only weakly singular kernels and requiring only continuous crack-face data for their validity. Besides the direct consequence of the weakly singular nature, the governing integral equations also possess several positive features such as no requirement of free-surface discretization and the capability to treat material anisotropy, non-planar crack geometry and general crack-face loading conditions. In numerical implementations, a weakly singular, symmetric Galerkin boundary element method along with the special near-front approximation is employed to solve the traction integral equation for the relative crack-face displacement. The sum of the crack-face displacement is then obtained by solving the displacement integral equation via standard Galerkin method. The stress intensity factors and the T-stress components along the crack are extracted directly from the near-front relative and sum of the crack-face displacement data. Obtained numerical results for various scenarios clearly demonstrate the accuracy, convergence and capability of the proposed technique.

บรรณานุกรม :
Tien Ngoc Pham . (2558). ANALYSIS OF CRACKS IN TRANSVERSELY ISOTROPIC, LINEAR ELASTIC HALF-SPACE BY WEAKLY SINGULAR BOUNDARY INTEGRAL EQUATION METHOD.
    กรุงเทพมหานคร : จุฬาลงกรณ์มหาวิทยาลัย.
Tien Ngoc Pham . 2558. "ANALYSIS OF CRACKS IN TRANSVERSELY ISOTROPIC, LINEAR ELASTIC HALF-SPACE BY WEAKLY SINGULAR BOUNDARY INTEGRAL EQUATION METHOD".
    กรุงเทพมหานคร : จุฬาลงกรณ์มหาวิทยาลัย.
Tien Ngoc Pham . "ANALYSIS OF CRACKS IN TRANSVERSELY ISOTROPIC, LINEAR ELASTIC HALF-SPACE BY WEAKLY SINGULAR BOUNDARY INTEGRAL EQUATION METHOD."
    กรุงเทพมหานคร : จุฬาลงกรณ์มหาวิทยาลัย, 2558. Print.
Tien Ngoc Pham . ANALYSIS OF CRACKS IN TRANSVERSELY ISOTROPIC, LINEAR ELASTIC HALF-SPACE BY WEAKLY SINGULAR BOUNDARY INTEGRAL EQUATION METHOD. กรุงเทพมหานคร : จุฬาลงกรณ์มหาวิทยาลัย; 2558.