Abstract
Derived in this work are the time-dependent thermal Green’s function solutions of a steady line heat source and a steady thermal dislocation near a linear viscous interface between two different anisotropic magneto-electro-thermo-elastic multiferroic half-planes. Our analysis demonstrates that once the thermal Green’s functions at the initial time for a perfect interface are known, the corresponding time-dependent thermal Green’s functions at any time can be written down immediately. These solutions are obtained in exact closed form.
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Wei Y.J., Bower A.F., Gao H.J.: Recoverable creep deformation and transient local stress concentration due to heterogeneous grain-boundary diffusion and sliding in polycrystalline solids. J. Mech. Phys. Solids 56, 1460–1483 (2008)
Kim K.T., McMeeking R.M.: Power law creep with interface slip and diffusion in a composite material. Mech. Mater. 20, 153–164 (1995)
He L.H., Hu X.F.: Transient stress relaxation around a spherical inclusion: the role of the combination of interfacial diffusion and sliding. Mater. Chem. Phys. 77, 147–152 (2002)
Wang X., Pan E., Albrecht J.D.: Two-dimensional Green’s functions in anisotropic multiferroic bimaterials with a viscous interface. J. Mech. Phys. Solids 56, 2863–2875 (2008)
Raj R., Ashby M.F.: On grain boundary sliding and diffusional creep. Metall. Trans. 2, 1113–1127 (1971)
Suo Z.: Motion of microscopic surface in materials. Adv. Appl. Mech. 33, 193–294 (1997)
He L.H., Lim C.W.: Time-dependent interfacial sliding in fiber composites under longitudinal shear. Compos. Sci. Technol. 61, 579–584 (2001)
Sturla F.A., Barber J.R.: Thermoelastic Green’s functions for plane problems in general anisotropy. ASME J. Appl. Mech. 55, 245–247 (1988)
Sturla F.A., Barber J.R.: Thermal stresses due to a plane crack in a general anistropic material. ASME J. Appl. Mech. 55, 372–375 (1988)
Kattis M.A., Papanikos P., Providas E.: Thermal Green’s functions in plane anisotropic bimaterials. Acta Mech. 173, 65–76 (2004)
Pan E.: Exact solutions for simply supported and multilayered magneto-electro-elastic plates. J. Appl. Mech. ASME 68, 608–618 (2001)
Ting T.C.T.: Anisotropic Elasticity: Theory and Applications. Oxford University Press, Oxford (1996)
Fan H., Wang G.F.: Interaction between a screw dislocation and viscoelastic interfaces. Int. J. Solids Struct. 40, 763–776 (2003)
Clements D.L.: A crack between dissimilar anisotropic media. Int. J. Eng. Sci. 9, 257–265 (1971)
Suo Z.: Singularities, interfaces and cracks in dissimilar anisotropic materials. Proc. R. Soc. Lond. A 427, 331–358 (1990)
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Wang, X., Pan, E. Thermal Green’s functions in plane anisotropic multiferroic bimaterials with viscous interface. Acta Mech 209, 59–65 (2010). https://doi.org/10.1007/s00707-009-0152-9
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DOI: https://doi.org/10.1007/s00707-009-0152-9