Circular inhomogeneity and two concentric symmetric circular arc cracks problem in an infinite isotropic elastic plate under tension

Bhargava, R. D.; Narayan, Ram

doi:10.1007/bf00033537

Cited by 8 publications

(2 citation statements)

References 9 publications

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“…У ній встановлено, що розв'язок задачі має осциляційний характер в околі кінців тріщини, і наголошується на тому, що в цих областях лінійна теорія пружності не підходить для прогнозування напружень і переміщень. Дугоподібні тріщини на межі кругового включення в площині з відмінними пружними властивостями при рівномірному розтягненні докладно досліджувались у роботах [5,12,14,17]. Розв'язки задач у цих статтях подано в замкненому вигляді.…”

Section: скінченноелементний аналіз пружно-пластичного стану площини ...unclassified

Finite element analysis of elastic-plastic state of the plane with elliptic inclusion in the presence of interphase crack

Adlutsky,

Loboda

2020

Mat. Met. Fiz. Mekh. Polya

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Section: скінченноелементний аналіз пружно-пластичного стану площини ...unclassified

Finite element analysis of elastic-plastic state of the plane with elliptic inclusion in the presence of interphase crack

Adlutsky,

Loboda

2020

Mat. Met. Fiz. Mekh. Polya

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“…It was emphasized that the linear elasticity theory cannot be applied to predict stresses and displacements in these regions. Arc-shaped cracks on the boundary of a circular inclusion in the plane with different elastic properties subjected to uniform tension were thoroughly investigated in [5,12,14,17]. In these papers, the solutions of the analyzed problems were presented in the closed form.…”

Section: Introductionmentioning

confidence: 99%

Finite-Element Analysis of the Elastoplastic State of a Plane with Elliptic Inclusion in the Presence of Interface Crack

Adlucky

Лобода

2023

J Math Sci

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We consider the problem of determination of the elastoplastic stress-strain state of a matrix containing an elliptic inclusion of a different material in the presence of an arc-shaped crack on the interface under the action of mechanical loads applied at infinity, which can be arbitrarily oriented relative to the crack. The appearance of contact macrozones between the crack faces is regarded as possible. We use the model of isotropic hardening of the materials with bilinear approximation of the "stress-strain" curves. We consider numerical solutions of the elastic and elastoplastic problems. It is shown that disagreement between the corresponding results increases in the course of transition from the elastic to elastoplastic state as the level of loading increases.

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The problem of interaction between a misfitting inclusion and a crack in an infinite elastic medium

Theocaris

Ioakimidis

1979

J Elasticity

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The problem of interaction between a curvilinear crack (or a system of such cracks) and a misfitting inclusion of arbitrary shape (or a system of such inclusions) inside an infinite isotropic elastic medium of the same material as the inclusion was solved by using the complex potential technique and reducing the problem to a complex Cauchy type singular integral equation along the crack only (or the system of cracks). RI~SUMI~Le probl~me de l'inttuence mutuelle d'une fissure curviligne (ou d'un syst~me de telles fissures) et une inclusion malajust6e de forme arbitraire (ou un syst~me de telles inclusions) dans un milieu infini ~lastique isotrope du m~me mat6riau que l'inclusion a ~t~ r~solu en utilisant la technique des potentiels complexes et en r6duisant ainsi le probl6me ~ une 6quation int~grale singuli~re complexe du type Cauchy seulement le long de la fissure (ou du syst~me des fissures).

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Circular inhomogeneity and two concentric symmetric circular arc cracks problem in an infinite isotropic elastic plate under tension

Cited by 8 publications

References 9 publications

Finite element analysis of elastic-plastic state of the plane with elliptic inclusion in the presence of interphase crack

Finite element analysis of elastic-plastic state of the plane with elliptic inclusion in the presence of interphase crack

Finite-Element Analysis of the Elastoplastic State of a Plane with Elliptic Inclusion in the Presence of Interface Crack

The problem of interaction between a misfitting inclusion and a crack in an infinite elastic medium

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