Finite Crack in a Thermoelastic Transversely Isotropic Medium Under Green-Naghdi Theory

الموضوعات :

S.K Panja ¹ (Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India)
S.C Mandal ² (Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India)

تاريخ الإرسال : 13 الإثنين , صفر, 1443 تاريخ التأكيد : 09 الإثنين , جمادى الأولى, 1443 تاريخ الإصدار : 27 الأربعاء , شعبان, 1443

الکلمات المفتاحية: Wave propagation, G-N theory, Thermoelastic, Finite crack, Transversely isotropic medium,

ملخص المقالة :

In this paper, we have studied a model of finite linear Mode-I crack in a thermoelastic transversely isotropic medium under Green Naghdi theory. The crack is subjected to a prescribed temperature and a known tensile stress. The plane boundary surface is considered as isothermal and all the field variables are sufficiently smooth. The heat conduction equation is written under two temperature theory (2TT) for Green Naghdi model which contains absolute temperature as well as conductive temperature. The analytical expressions of displacement components, stress components and temperature variables are obtained by normal mode analysis and matrix inversion method. Comparisons have been made within Green Naghdi (G-N) theory of type I, type II and type III for displacement, stress and absolute temperature variables against the crack width for a transversely isotropic material (Cobalt) by virtues of graphs. Also, Comparison have been made among displacement, thermal stress and absolute temperature for different depths.

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