Abstract: Sanders’ path-independent, energy-release rate integral I is specialized to an arbitrarily loaded shallow shell containing a stress-free void, assuming linear theory. Two forms of I are given. ...

Abstract: A new and general method for determining the exact undamped natural frequencies and natural modes of vibration, the orthogonality relation for the natural modes, and the response to arbitrary ...

Abstract: A counterexample involving a homogeneous, elastically isotropic beam of narrow rectangular cross section supports the assertion in the title. Specifically, a class of two-dimensional displacement ...

Abstract: Sanders’ path-independent energy-release-rate integral I for a cracked shallow shell is used to compute the asymptotic form of the combined stress-intensity factor for a pressurized elastically ...

Abstract: The equations describing the stress and strain fields in an elastically isotropic shallow shell containing a crack are reduced, via Fourier transforms, to four coupled singular integral equations ...

Abstract: Analytical and numerical values for Sanders’ path-independent energy-release rate integral I and the combined stress-intensity factor are obtained for a circumferentially through-cracked cylindrical ...