TY - JOUR
T1 - Thermal stresses in a slab containing an annular crack
AU - Mori, Y.
AU - Shindo, Y.
AU - Atsumi, A.
N1 - Funding Information:
5. CONCLUDING REMARKS The theoretical analysis of the thermal stresses in a slab containing an annular crack is performed. The triple integral equations for the heat conduction problem and thermoelastic problem have been reduced to the singular integral equations of the first kind and the resulting equations are reduced to two infinite systems of simultaneous linear algebraic equations in which the logarithmic singularities are evaluated analytically. The results of good accuracy are obtained. Finally, it should be acknowledged that the expense for this study has been appropriated from the Scientific Research Fund of the Ministry of Education for the fiscal year 1978.
PY - 1980
Y1 - 1980
N2 - A linear thermoelastic problem of a slab containing an annular crack is solved. Using integral transform techniques, the problem is reduced to that of solving two singular integral equations of the first kind. The solution of the singular integral equation is obtained in the form of the product of the series of Chebyshev polynomials of the first kind and their weight functions. Thus the essential feature of the singular stress field near the crack is preserved and the crack tip stress intensity factor is easily evaluated. Numerical calculations are also carried out and the variations of the stress intensity factors are plotted against the geometry for various values of physical properties.
AB - A linear thermoelastic problem of a slab containing an annular crack is solved. Using integral transform techniques, the problem is reduced to that of solving two singular integral equations of the first kind. The solution of the singular integral equation is obtained in the form of the product of the series of Chebyshev polynomials of the first kind and their weight functions. Thus the essential feature of the singular stress field near the crack is preserved and the crack tip stress intensity factor is easily evaluated. Numerical calculations are also carried out and the variations of the stress intensity factors are plotted against the geometry for various values of physical properties.
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U2 - 10.1016/0020-7225(80)90119-6
DO - 10.1016/0020-7225(80)90119-6
M3 - Article
AN - SCOPUS:0019189931
VL - 18
SP - 1161
EP - 1172
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
SN - 0020-7225
IS - 9
ER -