Three-dimensional crack analyses under thermal stress field by XFEM using only the Heaviside step function
نویسندگان
چکیده
منابع مشابه
Decomposition of multivariate function using the Heaviside step function
Whereas the Dirac delta function introduced by P. A. M. Dirac in 1930 to develop his theory of quantum mechanics has been well studied, a not famous formula related to the delta function using the Heaviside step function in a single-variable form, also given by Dirac, has been poorly studied. Following Dirac's method, we demonstrate the decomposition of a multivariate function into a sum of int...
متن کاملCrack Interaction Studies Using XFEM Technique
In this paper, edge crack problems under mechanical loads have been analysed using extended finite element method (XFEM) as it has proved to be a competent method for handling problems with discontinuities. The XFEM provides a versatile technique to model discontinuities in the solution domain without re-meshing or conformal mesh. The stress intensity factors (SIF) have been calculated by domai...
متن کاملThe Stress Field and Energy of a Three-dimensional Dislocation Loop at a Crack Tip
THE SELF STRESS field and self energy are estimated for a planar 3D dislocation loop emanating from a halfplane crack tip. While the problem is of greatest interest for analysis of shear loops nucleating from the crack tip in the concentrated stress field there due to applied loadings, it is addressed here in the interest of tractability for 3D prismatic loops lying in the same plane as the cra...
متن کاملCrack propagation and fracture in silicon wafers under thermal stress
The behaviour of microcracks in silicon during thermal annealing has been studied using in situ X-ray diffraction imaging. Initial cracks are produced with an indenter at the edge of a conventional Si wafer, which was heated under temperature gradients to produce thermal stress. At temperatures where Si is still in the brittle regime, the strain may accumulate if a microcrack is pinned. If a cr...
متن کاملAnalyses of Three-Dimensional Eddy Current Field and Thermal Problems in an Isolated Phase Bus
In this paper, a three-dimensional eddy current field model to calculate the eddy current losses in an isolated phase bus (IPB) is proposed. The rise in temperature of the conductors and enclosures in the IPB are evaluated using the proposed set of thermal equations. Computation results of a 20-kV/12.5-kA IPB scheme are reported to validate the algorithm. The withstand voltage ability and short...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mechanical Engineering Journal
سال: 2020
ISSN: 2187-9745
DOI: 10.1299/mej.20-00098