CRACK-PROPAGATION PROCESSES IN THERMOMECH ANICALLY LOADED BIMATERIALS- ANALYSIS AND EXPERIMENT

Authors
Citation
Kp. Herrmann, CRACK-PROPAGATION PROCESSES IN THERMOMECH ANICALLY LOADED BIMATERIALS- ANALYSIS AND EXPERIMENT, Zeitschrift fur angewandte Mathematik und Mechanik, 77(3), 1997, pp. 163-188
Citations number
143
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
ISSN journal
00442267
Volume
77
Issue
3
Year of publication
1997
Pages
163 - 188
Database
ISI
SICI code
0044-2267(1997)77:3<163:CPITAL>2.0.ZU;2-A
Abstract
In this paper a review is given about the fracture mechanical investig ation of the thermal crack initiation and propagation in one of the se gments or in the material interface of two- and three-dimensional self -stressed bimaterial structures. The resulting boundary value problems of the stationary thermoelasticity for uncracked and cracked 2-D and 3-D two-phase compounds are solved by means of Muskhelishvili's method of complex potentials as well as of the finite element method. In the case of 2-D bimaterial specimens orthogonal sets of principal stress trajectories could be obtained in the corresponding cross sections, ch aracterizing the self-stress fields in the associated two-phase compou nds. Further, by applying an appropriate crack growth criterion based on the numerical calculation of the total energy release rate of a qua sistatic mixed-mode crack extension the further development of thermal crack paths starting at the intersection line of the material interfa ce with the external stress-free surface of 2-D and 3-D bi materials c ould be predicted. In case of the disk-like two-phase compounds the th eoretically predicted crack paths show a very good agreement with resu lts gained by associated cooling experiments. Several specimen geometr ies consisting of different material combinations and subjected to uni form as well as non-uniform temperature distributions have been invest igated by applying the relevant methods of fracture mechanics. Thereby it could be stated that thermal cracks propagating in one segment of a bimaterial only obey the rule G(II) = 0, whereas for interface crack s a mixed-mode propagation is always existent where the Gn values play an important role. Moreover, by applying the proposed crack growth cr iterion the possible crack kinking direction theta of an interface cr ack tip out of the interface could be predicted under the consideratio n, of the finite thickness of an interlayer (interphase). Furthermore. the influences of three-dimensional effects on the thermal crack prop agation in axialsymmetrical bimaterial structures have been studied by means of this crack growth criterion as well as by using the finite e lement method. The numerical results show some remarkable differences between. 2-D and 3-D bimaterials concerning the ther mal crack paths a s well as the associated fracture mechanical parameters.