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A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. II: Smart structure modelling. (English) Zbl 0990.74074

Summary: In part I [see the foregoing entry], we developed a hybrid-stress-assumed natural strain eight-node solid-shell element immune to shear, membrane, trapezoidal, thickness and dilatational lockings. Moreover, the element computational cost is reduced by enforcing admissible sparsity in the flexibility matrix. In this part, the solid-shell element is generalized to a piezoelectric solid-shell element. Using the two solid-shell elements, we are able to model smart structures with segmented piezoelectric sensors and actuators. A number of problems are studied, and comparisons with other ad hoc element models for smart structure modelling are presented.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K25 Shells
74F15 Electromagnetic effects in solid mechanics
74M05 Control, switches and devices (“smart materials”) in solid mechanics

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