Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies

Guz, A. N.

doi:10.1007/978-3-540-69633-9

Cited by 242 publications

(466 citation statements)

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“…In this paper the concept of fracture is adopted following Biot [1] and Guz [3]: the onset of fracture coincides with local loss of stability of the equilibrium state of the material that surrounds the crack.…”

Section: Problem Statementmentioning

confidence: 99%

“…The stability problem is formulated by using the fundamental relationships of the threedimensional theory of stability given by Guz [3], and the model of a piecewise-homogeneous medium (the exact statement). All the equations below are formulated for perturbation of stresses (t ij ), which are components of a non-symmetric Kirchhoff stress tensor, and displacements (u i ).…”

Section: Problem Statementmentioning

confidence: 99%

“…All the equations below are formulated for perturbation of stresses (t ij ), which are components of a non-symmetric Kirchhoff stress tensor, and displacements (u i ). In so doing, the static method of investigation of static problems of 3-D theory of stability can be used, since the conditions sufficient for the applicability of this method were proved to be satisfied in the case of compression by 'dead' loads [3].…”

Section: Problem Statementmentioning

confidence: 99%

“…The classical Griffith-Irvin criterion of linear fracture mechanics or its generalizations are inapplicable for laminated composites compressed along interlaminar defects located in the symmetry planes, since in such case all stress intensity factors are equal to zero due to the specific loading conditions. The beginning of fracture process under compression is very often associated with the buckling in the microstructure of the material, the internal or the surface instabilities phenomena according to Biot [1] and Guz [2,3], when the critical load is determined by parameters characterising the microstructure of the composite rather then by the dimensions and shape of the specimen or structural element. In this paper the following concept of fracture is adopted: the onset of fracture coincides with local loss of stability of the equilibrium state of the material that surrounds the crack.…”

Section: Introductionmentioning

confidence: 99%

“…Budiansky and Fleck [10], Guz [2,3], Soutis [11], Guz et al [12], Soutis and Turkmen [13], Talreja [14], and Waas and Schultheisz [15].…”

Section: Introductionmentioning

confidence: 99%

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The effect of fibre volume fraction on the onset of fracture in laminar materials with an array of coplanar interface cracks

Winiarski

Guz

2008

Composites Science and Technology

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Section: Problem Statementmentioning

confidence: 99%

Section: Problem Statementmentioning

confidence: 99%

Section: Problem Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Budiansky and Fleck [10], Guz [2,3], Soutis [11], Guz et al [12], Soutis and Turkmen [13], Talreja [14], and Waas and Schultheisz [15].…”

Section: Introductionmentioning

confidence: 99%

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The effect of fibre volume fraction on the onset of fracture in laminar materials with an array of coplanar interface cracks

Winiarski

Guz

2008

Composites Science and Technology

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Compressive Response of Composite Stiffened Panels with Open Holes

Guz

Soutis

Zhuk

2012

Wiley Encyclopedia of Composites

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The presence of an open hole or low velocity impact damage in composite stiffened panels introduces high local stresses that may initiate material failures and lead to catastrophic failure of the structure or component before Euler buckling occurs. In the case of compressive loading, near‐surface instability or fiber microbuckling in the 0° plies may occur where high stress gradients exist. In this study, the critical load is estimated by using the maximum stress failure criterion, giving a conservative estimate for the failure load. An alternative method, the Soutis–Fleck cohesive zone fracture model, is also employed, where the fiber microbuckling growing from the edge of the hole is mathematically represented by a through‐the‐thickness crack and fracture mechanics concepts are applied. In both approaches, the unnotched compressive strength is required, which is estimated by using a fiber instability model based on a 3D stability theory of deformable bodies. Theoretical predictions are in good agreement with experimental data, giving confidence to the present analytical approach.

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