Analysis of delaminated multilayered functionally graded viscoelastic beam

Rizov, Victor

doi:10.1016/j.prostr.2021.10.048

Cited by 3 publications

(2 citation statements)

References 16 publications

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“…Beside springs and dashpots, frictional sliders are added in the model in order to treat the plastic strains. The novel aspect of this paper is that fracture of a viscoplastic beam with an arbitrary number of concentric lengthwise cracks is analyzed while prior papers [7,8] deal with analyses of fracture in linear viscoelastic beams with one lengthwise crack.…”

Section: Introductionmentioning

confidence: 99%

Inhomogeneous Beam of Circular Cross-Section with Concentric Lengthwise Cracks: A Fracture Analysis with Considering Viscoplastic Behaviour

Rizov

2022

DDF

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In this paper, a lengthwise fracture analysis of a viscoplastic inhomogeneous cantilever beam of circular cross-section acted upon by a torsion moment is presented. The beam is with an arbitrary number of concentric lengthwise cracks. The time-dependent mechanical behaviour of the beam is treated by a viscoplastic model representing a series of units which are combinations of springs, dashpots and frictional sliders. Due to the sliders, the model units start to deform one after another with increasing of the external load. Constitutive laws of the viscoplastic model are obtained and applied to treat the beam mechanical behaviour when deriving time-dependent strain energy release rates for the lengthwise cracks.

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Section: Introductionmentioning

confidence: 99%

Inhomogeneous Beam of Circular Cross-Section with Concentric Lengthwise Cracks: A Fracture Analysis with Considering Viscoplastic Behaviour

Rizov

2022

DDF

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“…Therefore, the aim of this paper is to present an analytical approach for analyzing time-dependent longitudinal fracture of a continuously inhomogeneous viscoplastic beam member by using a generalized viscoplastic model. The novelty of this paper is that viscoplastic behaviour is taken into account in longitudinal fracture analysis in contrast to [7,8] where only linear viscoelastic behaviour is considered. The generalized viscoplastic model introduced in this paper is a combination of springs, dashpots and frictional sliders.…”

Section: Introductionmentioning

confidence: 99%

An Approach in Analyzing Longitudinal Fracture of Inhomogeneous Beams with Using Generalized Viscoplastic Models

Rizov

2022

DDF

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This paper introduces a generalized viscoplastic model and describes its application in treating the longitudinal fracture of inhomogeneous beam structures. The model is a combination of an arbitrary number of parallel units. Each unit is obtained by two springs and a dashpot. Besides, a frictional slider is placed parallel with one of the springs in each unit of the model in order to treat the plastic strains. The time-dependent constitutive law of the model obtained by considering strains, stresses and equilibrium of the model components is used in deriving solution of the strain energy release rate for the longitudinal crack in the viscoplastic beam.

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Modification of theory A.R. Rzhanitsyn in analysis of multilayer composite beams

2023

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The article proposes the development of a numerical method for calculating multilayer beams, based on the theory of composite rods by A.R. Rzhanitsyn. The modification of this theory is to simplify the calculation model for a determined class of structures. It is considered multilayer beams composed of same layers of rectangular cross section, with the same physical and mechanical characteristics. The stiffness of all connecting seams is taken equal. In the research the hypothesis of a functional relationship between shear forces in the seams of the structure is taken. This allows the authors to significantly reduce the dimension of the system of resolving differential equations, from n + 2 equations to three for any finite number of layers. Where n -is the number of seams, and, accordingly, the number of shear forces to find in the seams according to the A.R Rzhanitsyn model, n + 1 is the number of layers. A comparison of three models of the above dependence is given. The numerical methodology is based on the approximation of differential equations by difference equations of the method of successive approximations (MSA). This methodology has proven itself well in the calculation of beams, plates, shells for the action of static loads, in calculations in a dynamic setting and for stability, on an elastic foundation. Including multilayer beams and plates. It allows to take into account the finite discontinuities of the load parameters, stiffness parameters of the structure and foundation. The described methodology can find application in the practice of design organizations and enter the educational courses of higher educational institutions of the construction profile.

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Analysis of delaminated multilayered functionally graded viscoelastic beam

Cited by 3 publications

References 16 publications

Inhomogeneous Beam of Circular Cross-Section with Concentric Lengthwise Cracks: A Fracture Analysis with Considering Viscoplastic Behaviour

Inhomogeneous Beam of Circular Cross-Section with Concentric Lengthwise Cracks: A Fracture Analysis with Considering Viscoplastic Behaviour

An Approach in Analyzing Longitudinal Fracture of Inhomogeneous Beams with Using Generalized Viscoplastic Models

Modification of theory A.R. Rzhanitsyn in analysis of multilayer composite beams

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