Fracture analysis of cellular materials: A strain gradient model

Chen, J

doi:10.1016/s0022-5096(98)00006-4

Cited by 184 publications

(128 citation statements)

References 13 publications

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“…Work employing couple-stress theories on elasticity and plasticity problems is also continued in recent years (see e.g. Vardoulakis and Sulem, 1995;Huang et al, 1997;Chen et al, 1998;Anthoine, 2000;Lubarda and Markenscoff, 2000;Bardet and Vardoulakis, 2001;Georgiadis and Velgaki, 2003;Grentzelou and Georgiadis, 2005).…”

Section: Introductionmentioning

confidence: 99%

Distributed dislocation approach for cracks in couple-stress elasticity: shear modes

Gourgiotis

Georgiadis

2007

Int J Fract

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Section: Introductionmentioning

confidence: 99%

Distributed dislocation approach for cracks in couple-stress elasticity: shear modes

Gourgiotis

Georgiadis

2007

Int J Fract

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“…Vardoulakis and Georgiadis, 1997;Georgiadis et al, 2000;Georgiadis et al, 2004), fracture (see e.g. Wei and Hutchinson, 1997;Zhang et al, 1998;Chen et al, 1998;Shi et al, 2000;Georgiadis, 2003;Grentzelou and Georgiadis, 2005;2008;Wei, 2006;Karlis et al, 2007;Radi, 2008), and plasticity (see e.g. Fleck et al, 1994;Vardoulakis and Sulem, 1995;Begley and Hutchinson, 1998;Fleck and Hutchinson, 1997;Gao et al 1999;Huang et al, 2000;Hwang et al, 2002;Radi, 2007).…”

Section: Introductionmentioning

confidence: 99%

“…Indeed, Chen et al (1998) developed a continuum model for cellular materials and found out that the continuum description of these materials obeys a gradient elasticity theory. In the latter study, the intrinsic material length was naturally identified with the cell size.…”

Section: Introductionmentioning

confidence: 99%

Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity

Gourgiotis

Georgiadis

2009

Journal of the Mechanics and Physics of Solids

108

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“…Chen et al (1998) developed a continuum model for cellular materials and concluded that the continuum description of these materials obeys a gradient elasticity theory of the couple-stress type. In the latter study, the intrinsic material length was naturally identified with the cell size.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the tilted flat punch in couple-stress elasticity

Gourgiotis

Zisis

Baxevanakis

2016

International Journal of Solids and Structures

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Abstract. In the present paper we explore the response of a half-plane indented by a tilted flat punch with sharp corners in the context of couple-stress elasticity theory. Contact conditions arise in a number of modern engineering applications ranging from structural and geotechnical engineering to micro and nanotechnology. As the contact scales reduce progressively the effects of the microstructure upon the macroscopic material response cannot be ignored. The generalized continuum theory of couple-stress elasticity introduces characteristic material lengths in order to describe the pertinent scale effects that emerge from the underlying material microstructure. The problem under investigation is interesting for three reasons: Firstly, the indentor's geometry is simple so that benchmark results may be extracted. Secondly, important deterioration of the macroscopic results may emerge in the case that a tilting moment is applied on the indentor inadvertently or in the case that the flat punch itself is not self-aligning so that asymmetrical contact pressure distributions arise on the contact faces. Thirdly, the voluntary application of a tilting moment on the flat punch during an experiment gives rise to potential capabilities of the flat punch for the determination of the material microstructural characteristic lengths. The solution methodology is based on singular integral equations which have resulted from a treatment of the mixed boundary value problems via integral transforms and generalized functions. The results show significant departure from the predictions of classical elasticity revealing that valuable information may be deducted from the indentation of a tilted punch of a microstructured solid.

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Fracture analysis of cellular materials: A strain gradient model

Cited by 184 publications

References 13 publications

Distributed dislocation approach for cracks in couple-stress elasticity: shear modes

Distributed dislocation approach for cracks in couple-stress elasticity: shear modes

Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity

Analysis of the tilted flat punch in couple-stress elasticity

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