Stability of plates and shells made of homogeneous and composite materials subject to short-term microdamage

Khoroshun, L. P.; Babich, D. V.

doi:10.1007/s10778-008-0045-y

Cited by 6 publications

(5 citation statements)

References 30 publications

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“…Then relations (26) reduce to Hooke's law for a monotropic layered material of regular structure whose effective mechanical characteristics are defined by (28), where B ij = 0, D ijkl = 0, which completely coincide with those derived earlier in, e.g., [11,13,14] within the framework of the symmetric theory of elasticity. An important feature of the model of laminated composite is the possibility of determining the stresses in separate layers from the averaged components of the tensors of force stresses, strains, couple stresses, the wryness tensor, and the averaged temperature field.…”

supporting

confidence: 61%

Determining the effective thermoelastic characteristics of regularly laminated composite in the asymmetric theory of elasticity

Nemirovskii

Yankovskii²

2009

Int Appl Mech

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The asymmetric theory of elasticity is used to model a hybrid laminated composite of regular structure with all phases isotropic. The effective thermoelastic characteristics of the composite are determined. It is shown that the equations derived can be used to determine stress-strain state in all the phases of the composite using the average components of the tensors of force stresses, couple stresses, strains, and wryness in a layered material, which is of fundamental importance for the design of composites based on structural theories of failure Introduction. In analyzing the stress-strain state (SSS) of layered materials with regularly alternating thin layers, they are often modeled by a macroscopically homogeneous medium. Therefore, it is necessary to establish the dependence of all independent thermoelastic characteristics of a laminated composite on those of the layers and their volume fraction in a representative element of the composite.There are two approaches to determine the effective characteristics of composites. One is a purely phenomenological approach that determines the physical and mechanical constants from tests on layered samples. The other approach expresses the physical and mechanical characteristics of a layered material in terms of the physical and mechanical characteristics, volume fraction, and thickness of the layers and other macroscopical parameters. The latter approach is more preferable from both theoretical and practical points of view. It is capable of predicting the physical and mechanical properties of composites from those of their components and permitting rational and optimal design of layered materials and structures made of them.Since it is important to determine the effective thermomechanical characteristics of composites, many structural models of layered thin-walled structures were proposed in the last decades [1-4, 8-11, etc.]. All these theories are based on the equations of the symmetric theory of elasticity. However, according to the literature, great stress gradients can be induced in a layered material because of the considerable (severfold or even several orders magnitude) difference between the thermoelastic characteristics of the layers. With concentration and great gradients of stresses, the results produced by the symmetric theory of elasticity disagree with experimental data [7]. Therefore, of importance is to use the Cosserat theory of elasticity [7], which is asymmetric, to determine the effective thermomechanical characteristics of laminated composites.

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supporting

confidence: 61%

Determining the effective thermoelastic characteristics of regularly laminated composite in the asymmetric theory of elasticity

Nemirovskii

Yankovskii²

2009

Int Appl Mech

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“…and in the multivolume collective monographs Mechanics of Composite Materials and Structural Members [in Russian] (1982-1983) and Mechanics of Composite Materials (1993Materials ( -2003 edited by academician A. N. Guz and issued by the S. P. Timoshenko Institute of Mechanics. Modern areas of research on the mechanics of composite materials and structures are indicated in the reviews [38,[40][41][42].In the former USSR, the S. P. Timoshenko Institute of Mechanics was one of the leading institutions to conduct, at the highest level, fundamental and applied research on the mechanics of composite materials and structural members. In the 1960-70s, a special team of scientists at the Department of Vibration Theory was appointed to conduct comprehensive experimental research on the vibration of glassfiber-reinforced plastic shells.…”

mentioning

confidence: 99%

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confidence: 99%

Experimental studies of the vibrations and dynamic stability of laminated composite shells

Kubenko

Koval’chuk

2009

Int Appl Mech

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The paper discusses the results of systematic experimental studies of vibrations and dynamic instability of thin shells of revolution made of laminated composite materials (glassfiber-reinforced plastics). The basic patterns in the dynamic deformation of shells during natural, forced, and parametric vibrations are considered. The damping parameters of natural vibrations are analyzed. The wave deformation modes of shells subject to periodic excitation are studied. The effect of long-term vibratory loading (torsion) on the dynamic characteristics of three-layer glassfiber-reinforced plastic shells is examined Keywords: composite, shell of revolution, frequencies and modes of vibration, dynamic instability, amplitude-frequency characteristic, running wave 1. Introduction. The unusual word "composite" came into use in the materials-science literature in the mid-1950s. It refers to then absolutely new, artificial anisotropic materials consisting of several components with different physical properties. The resulting material has properties qualitatively and quantitatively different from those of the components.The most popular structural composites are materials with oriented high-strength reinforcement (reinforced composites [1,3,4,13,25,26,32,34]) of which so-called glassfiber-reinforced plastics lead in practical use. These materials are produced by combining glass fibers or fabrics with polymeric resin as a matrix. Such materials are advantageous due to high mechanical strength at relatively low weight, corrosion resistance, relatively high thermal resistance, radio transparency, electric stability, etc. An exceptional value of fiberglass is that it makes it possible to influence the parameters of structural members being created. Glassfiber-reinforced plastic materials and structures with prescribed stiffness, weight, and other physical constraints are created in a single process cycle. This is very important because a not very complex process allows creating, in a relatively short time, mechanical objects of quite complex geometry, high strength, and low cost.It is therefore no wonder that the scope of application of fiberglass constantly extends. Nowadays glassfiber-reinforced plastic materials and structural elements are used in aircraft and rocket technology, transport space systems, chemical engineering, automotive industry, shipbuilding, pipeline construction, etc. This list could be extended.The basic stages in the development of the mechanics of composites and structures and results obtained to date are well reflected in many publications ([1, 4, 17, 25, 26, 32, etc.]) and in the multivolume collective monographs Mechanics of Composite Materials and Structural Members [in Russian] (1982-1983) and Mechanics of Composite Materials (1993Materials ( -2003 edited by academician A. N. Guz and issued by the S. P. Timoshenko Institute of Mechanics. Modern areas of research on the mechanics of composite materials and structures are indicated in the reviews [38,[40][41][42].In the former USSR, the S. P. Timoshenko...

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“…Ikonomopoulos and Perreux [244] investigated reliability of laminates through a damage tolerance approach. Khoroshun and Babich [245] discussed stability of plates and shells made of homogeneous and composite materials subject to short-term microdamage. Zozulya [246] studied laminated shells with debonding between laminas in temperature field.…”

Section: Failure Delamination and Damage Analysesmentioning

confidence: 99%

“…Other studies on failure of composite shells include those of Galishin [232], Xie and Biggers [233], He and Hwang [197], Khoroshun et al [99,100], Khoroshun and Babich [108,114,163,245], Mahdi et al [184], Rezadoust [190], Saleh et al [199], Solaimurugan and Velmurugan [169], and Ghosh [238].…”

Section: Failure Delamination and Damage Analysesmentioning

confidence: 99%

Review of Recent Literature on Static Analyses of Composite Shells: 2000-2010

Qatu¹,

Asadi²,

Wang³

2012

OJCM

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Laminated composite shells are frequently used in various engineering applications including aerospace, mechanical, marine, and automotive engineering. This article reviews the recent literature on the static analysis of composite shells. It follows up with the previous work published by the first author [1-4] and it is a continuation of another recent article that focused on the dynamics of composite shells [3]. This paper reviews most of the research done in recent years (2000-2010) on the static and buckling behavior (including postbuckling) of composite shells. This review is conducted with an emphasis on the analysis performed (static, buckling, postbuckling, and others), complicating effects in both material (e.g. piezoelectric) and structure (e.g. stiffened shells), and the various shell geometries (cylindrical, conical, spherical and others). Attention is also given to the theory being applied (thin, thick, 3D, nonlinear …). However, more details regarding the theories have been described in previous work [1,3]

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Stability of plates and shells made of homogeneous and composite materials subject to short-term microdamage

Cited by 6 publications

References 30 publications

Determining the effective thermoelastic characteristics of regularly laminated composite in the asymmetric theory of elasticity

Determining the effective thermoelastic characteristics of regularly laminated composite in the asymmetric theory of elasticity

Experimental studies of the vibrations and dynamic stability of laminated composite shells

Review of Recent Literature on Static Analyses of Composite Shells: 2000-2010

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