Abstract
An approach is expounded to the study of the bifurcation stability of doubly curved shells of revolution. The microdamage of an isotropic material is considered as empty spherical pores randomly dispersed over the volume, their concentration increasing with load. A damaged inhomogeneous material is modeled by a continuous physically nonlinear medium whose nonlinear deformation depends on how the material fails and the microstrength is distributed. A bifurcation stability problem is formulated based on the concept of continuous loading within the framework of the Kirchhoff–Love hypotheses. As an example, a solution is given to the stability problem on shells of positive Gaussian curvature under external uniform pressure
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Babich, D.V., Khoroshun, L.P. Dispersed Damages in Stability Problems for Doubly Curved Shells of Revolution. International Applied Mechanics 39, 70–76 (2003). https://doi.org/10.1023/A:1023668100852
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DOI: https://doi.org/10.1023/A:1023668100852