Infinite body with thin elastic inclusion under the action of triaxial loading
- PDF / 110,006 Bytes
- 9 Pages / 595.205 x 793.701 pts Page_size
- 19 Downloads / 165 Views
INFINITE BODY WITH THIN ELASTIC INCLUSION UNDER THE ACTION OF TRIAXIAL LOADING M. M. Stadnyk
UDC 539.3
We deduce the relations for the evaluation of stresses in an inclusion and in the matrix near its contour convenient for engineering calculations. It is shown that the parameter KI for an absolutely rigid lamellar inclusion takes two different values depending on the type of limit transition. For cracks, this parameter depends on the loading mode if we take into account the fact that the cracks transform into the corresponding hollows under loading. Keywords: equations, inclusions, jumps of stresses and displacements.
As an actual and important problem, one can mention the problem of evaluation of the strength of materials with defects of various types on the basis of the solutions of the corresponding problems of the theory of elasticity for bodies with inclusions. The elastic problem for bodies with inclusions whose stiffness does not exceed (or is not lower than) the stiffness of the matrix under triaxial loading was studied in [1, 2]. In what follows, we solve this problem for inclusions of any stiffness in the body subjected to triaxial tension-compression. Statement and Solution of the Problem Consider a three-dimensional isotropic body containing a thin elastic inclusion (0 ≤ E1 / E = ε < ∞, where E1 and E are Young’s moduli of the inclusion and the matrix, respectively) bounded by a smooth surface z = ± h ( x, y ) (max h
Data Loading...
