Viscoplastic dynamics of metallic composite shells of layered-fibrous structure under the action of loads of explosive type. I. Statement of the problem and method for solution

Yankovskii, А. P.

doi:10.1007/s10958-013-1421-7

Cited by 5 publications

(4 citation statements)

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“…The merits and demerits of the structural model of a reinforced layer with a one-dimensional stress state in fibers [19] are discussed in Yankovskii [1]. In Romanova and.…”

Section: Introductionmentioning

confidence: 99%

“…Structures of composite materials are widely used in modern engineering. The problem of studying the dynamic plastic deformation of fiber-reinforced plates and shells is topical at present, but, despite its importance, theoretical research in this direction is insufficient [1][2][3][4][5][6][7][8]. The study of the dynamic behavior of various thin-walled structural elements under the influence of high-intensity loads is of great importance for assessing their damage, as well as in the creation of such elements by the methods of pulse stamping.…”

Section: Introductionmentioning

confidence: 99%

“…The study of the dynamic behavior of various thin-walled structural elements under the influence of high-intensity loads is of great importance for assessing their damage, as well as in the creation of such elements by the methods of pulse stamping. The rigid-plastic body model is widely used for solving of dynamic problems under explosivetype loads due to its simplicity and convenience of calculated schemes [1,[9][10][11][12][13]. In Yankovskii [1], the current state of the art in calculating the inelastic dynamic deformation of shell constructions with a layered fibrous structure is discussed, and the use of the model of rigid-plastic bodies in such calculations is substantiated.…”

Section: Introductionmentioning

confidence: 99%

“…The rigid-plastic body model is widely used for solving of dynamic problems under explosivetype loads due to its simplicity and convenience of calculated schemes [1,[9][10][11][12][13]. In Yankovskii [1], the current state of the art in calculating the inelastic dynamic deformation of shell constructions with a layered fibrous structure is discussed, and the use of the model of rigid-plastic bodies in such calculations is substantiated.…”

Section: Introductionmentioning

confidence: 99%

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Modeling the dynamic bending of rigid-plastic fiber-reinforced laminated curvilinear doubly connected thin plates with free outer contour

Romanova

2020

Mathematics and Mechanics of Solids

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A theoretical model of the dynamic bending of rigid-plastic hybrid composite, arbitrary curvilinear doubly connected thin plates is developed. Inner contour of the plate is simply supported or clamped and outer one is free. The plates are on a viscous basis and under the action of uniformly distributed loads of explosive type. The plates are laminated and fibrous, with layers arranged symmetrically with respect to the middle surface. In each layer the reinforcing fibers, made of different materials, are located in directions parallel or normal to inner contour of plate. The structural model of the reinforced layer considering the plane stress state in fibers is used. The equations of the dynamic deformation of plate and simple analytical formula for the limit load are obtained. Numerical examples are given for a fiber-reinforced four-layered curvilinear plate with a supported hole in the form of ellipse and super-ellipse at the same total amount of reinforcement.

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“…The merits and demerits of the structural model of a reinforced layer with a one-dimensional stress state in fibers [19] are discussed in Yankovskii [1]. In Romanova and.…”

Section: Introductionmentioning

confidence: 99%