Abstract
An elastic rod perfectly bonded to an elastic von Kármán plate is considered. The bonding is such that no relative displacements, except for a relative twist, are allowed between the rod and the plate. A recently proposed framework (Journal of Elasticity, 156, 1015–1044, 2024) is extended to allow the rod-plate system to develop a fold (slope discontinuity) coinciding with the rod in the deformed configuration. A boundary value problem is derived for the determination of the deformed shape, the fold angle, and the internal forces/moments in the rod-plate system for a given inelastic strain distribution in the rod as well as in the plate. The governing equations are posed in terms of a scalar stress function and a scalar transverse displacement field, both piecewise-smooth over the plate domain.
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