Inelastic response of axisymmetric plates with cracks

Lellep, Jaan; Mürk, A.

doi:10.1007/s10999-007-9027-1

Cited by 4 publications

(7 citation statements)

References 23 publications

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“…It is assumed that the continuous yield line fan is formed by internal forces. The internal energy dissipation corresponding to (3), ( 4) can be calculated as (see Save et al [24], Skrzypek and Hetnarski [26], Lellep and Mürk [12] - [14])…”

Section: Determination Of Residual Deflectionsmentioning

confidence: 99%

“…In this case it is reasonable to expect that the plastic response to loading is also axisymmetric. Asymmetric loading of rigid-plastic circular plates is studied by Lellep and Mürk [12] - [14] in the cases of rectangular and impulsive pressure loadings. In the present paper the case of asymmetrical loading of inelastic circular plates is studied under the assumption that the load intensity is exponentially decaying in time.…”

Section: Introductionmentioning

confidence: 99%

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Asymmetric response of inelastic circular plates to blast loading

Mürk

Lellep

2022

ACUTM

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The dynamic behaviour of clamped circular plates subjected to the concentrated blast loading is studied. The load is applied at a non-central point of the plate, non-axisymmetric deflections are taken into account. An approximate theoretical procedure developed earlier is applied for the evaluation of residual maximal deflections. The solution technique is based on the idea of equality of the power of the internal and external work, respectively. As it was shown earlier this concept leads to results which are close to exact ones in the case of axisymmetric loading of circular plates, also in the case of circular cylindrical shells.

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Section: Determination Of Residual Deflectionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Asymmetric response of inelastic circular plates to blast loading

Mürk

Lellep

2022

ACUTM

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“…The annular plates are used as internal watertight bulkheads in submersibles in order to isolate a damaged compartment in the case of an accident. Axisymmetric plates clamped at the inner edge can be considered as simplified models of flanges used in pipe connections [25]. Reinforced panels of varying configurations, supported on several inner columns, can deform as double-connected plates [26, 27].…”

Section: Introductionmentioning

confidence: 99%

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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“…Minimum weight problems for axisymmetric plates operating in the range of elastic plastic deformations were studied by Lellep and Polikarpus [10] in the case of the material obeying Tresca's yield condition and the associated flow law. The case of Von Mises material was investigated by Lellep and Vlassov [11], [12], [13], [14].…”

Section: Introductionmentioning

confidence: 99%

Optimization of Stepped Elastic Plastic Plates

Lellep

Vlassov

2013

AMR

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A method of analysis and optimization of stepped plates made of elastic plastic materials is developed. The stress-strain of the plate is defined for the initial elastic and subsequent elastic plastic stages of deformation. Necessary optimality conditions are derived with the aid of variational methods of the theory of optimal control. This results in a differential-algebraic system of equations. The latter is solved numerically. The effectivity of the design established is assessed in the cases of one-and multi-stepped plates assuming the material obeys the Tsai-Wu or von Mises yield condition.

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Inelastic response of axisymmetric plates with cracks

Cited by 4 publications

References 23 publications

Asymmetric response of inelastic circular plates to blast loading

Asymmetric response of inelastic circular plates to blast loading

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

Optimization of Stepped Elastic Plastic Plates

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