caa a22 4500 445812362 CHVBK 20180317145215.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s00419-009-0399-6 doi (NATIONALLICENCE)springer-10.1007/s00419-009-0399-6 Elliptical inhomogeneity with polynomial eigenstrains embedded in orthotropic materials [Elektronische Daten] [L. Guo, G. Nie, C. Chan] A closed-form solution for elastic field of an elliptical inhomogeneity with polynomial eigenstrains in orthotropic media having complex roots is presented. The distribution of eigenstrains is assumed to be in the form of quadratic functions in Cartesian coordinates of the points of the inhomogeneity. Elastic energy of inhomogeneity-matrix system is expressed in terms of 18 real unknown coefficients that are analytically evaluated by means of the principle of minimum potential energy and the corresponding elastic field in the inhomogeneity is obtained. Results indicate that quadratic terms in the eigenstrains induce zeroth-order elastic strain components, which reflect the coupling effect of the zeroth- and second-order terms in the polynomial expressions on the elastic field. In contrast, the first-order terms in the eigenstrains only produce corresponding elastic fields in the form of the first-order terms. Numerical examples are given to demonstrate the normal and shear stresses at the interface between the inhomogeneity and the matrix. Furthermore, the solution reduces to known results for the special cases. Springer-Verlag, 2009 Orthotropic nationallicence Elliptical inhomogeneity nationallicence Eigenstrains nationallicence Polynomial conservation theorem nationallicence Complex function method nationallicence Guo L. Institute of Applied Mechanics, School of Aerospace Engineering and Applied Mechanics, Tongji University, 200092, Shanghai, China aut Nie G. Institute of Applied Mechanics, School of Aerospace Engineering and Applied Mechanics, Tongji University, 200092, Shanghai, China aut Chan C. Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong aut Archive of Applied Mechanics Springer-Verlag 81/2(2011-02-01), 157-170 0939-1533 81:2<157 2011 81 419 https://doi.org/10.1007/s00419-009-0399-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-009-0399-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Guo L. Institute of Applied Mechanics, School of Aerospace Engineering and Applied Mechanics, Tongji University, 200092, Shanghai, China aut NATIONALLICENCE 700 1- Nie G. Institute of Applied Mechanics, School of Aerospace Engineering and Applied Mechanics, Tongji University, 200092, Shanghai, China aut NATIONALLICENCE 700 1- Chan C. Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/2(2011-02-01), 157-170 0939-1533 81:2<157 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer