Abstract
Due to the inhomogeneity of shear modulus, the constitutive form of the medium becomes more complicated, which increases the difficulty of solving the analytical solution. In this paper, a new form of shear modulus is derived. Meanwhile, the wave number in the medium is also variable. By using the method of complex function and conformal transformation, the problem of dynamic stress concentration around a cylindrical cavity in an infinite inhomogeneous medium is solved. Combined with an auxiliary displacement function and a pair of new mapping functions, in the solving process, the analytical expressions of displacement field and stress field are given. The validity of this method is verified by comparing with the published results. Through numerical results, the distribution of dynamic stress concentration factor around a cylindrical cavity is analyzed under different inhomogeneous parameters and reference wave numbers.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
