Inplane stress singularities at the interface corner of a bimaterial junction

Wigger, Hubertus Michael; Becker, Wilfried

doi:10.1016/j.compstruct.2004.06.010

Cited by 12 publications

(10 citation statements)

References 10 publications

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“…However, there are few studies for the singularity problems of the MEE wedges or junctions [14,15] and it needs further analyses. On the contrary, the singularities of the elastic and piezoelectric wedges or junctions have been widely studied before [16][17][18][19][20][21][22][23][24][25][26]. Figure 1 shows the structures of wedge and junction problems.…”

Section: Introductionmentioning

confidence: 99%

The singularity problem of the magneto-electro-elastic wedge-junction structure with consideration of the air effect

Liu

2008

Arch Appl Mech

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The analytical compound model of a magneto-electro-elastic wedge-junction structure simultaneously combines a bimaterial magneto-electro-elastic wedge and a three-material electromagnetic junction. This model gives special consideration to the electrostatic and magnetostatic fields in air. Based on the author's previous study, new results of antiplane singularity orders at the apex of this wedge-junction structure have been obtained in this paper. The characteristic equation and numerical results are obtained for discussions. As a result, the existence of the air plays an important role to reduce the singularity when the permittivity or permeability of the solid approaches that of the air. This wedge-junction compound model is more realistic and shows the important roles of the electrostatic and magnetostatic fields in the air.

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Section: Introductionmentioning

confidence: 99%

The singularity problem of the magneto-electro-elastic wedge-junction structure with consideration of the air effect

Liu

2008

Arch Appl Mech

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“…The complex constants µ j in Equation (2) and the quantities a j , b j , c j , p j , q j in Equations (1) are determined by substitution of these relations into the formerly mentioned basic mechanical equations, see also [13]. This leads to a characteristic polynomial of degree four for the complex quantities µ j .…”

Section: Evaluation Of the Materials Constantsmentioning

confidence: 99%

“…Hence, in this specific case where more than one singularity exponent exists it is not possible to give a general in-plane force intensity factor for the whole singular regime, but one has to 21 know a characteristic length in order to know which singular term is in effect and determines the behaviour of the in-plane forces. Different structural configurations may have only one singular term, as shown by Wigger and Becker [13], so that only that one has to be taken into account. But the appearance of more than one singularity exponent leads to the situation that all singular terms have to be investigated separately.…”

Section: Behaviour Of the Membrane Forces Around The Interface Cornermentioning

confidence: 99%

“…Yin [11] has expanded Ting's adaptation [12] of Stroh's formalism for some special material classes and has evaluated with this method the asymptotic stress field. For plane stress situations the in-plane stress singularities at interface corners of anisotropic domains have been investigated by Wigger and Becker [13] by means of Lekhnitskii's complex potential formulation.…”

Section: Introductionmentioning

confidence: 99%

“…In the context of this work anisotropic means that only non-degenerated material configurations are considered, excluding degenerated ones like quasi-isotropic laminates. Therefore, the method introduced by Wigger and Becker [13] has been extended with a collocation technique in order to obtain not only the singularity exponents but also the corresponding coefficients and hence the mechanical fields.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analysis of anisotropic in-plane corners

Wigger¹,

Becker²

2007

Composites Science and Technology

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Inplane Stress Singularities at the Corner of an Anisotropic Material Discontinuity

Wigger

Becker

2004

Proc Appl Math and Mech

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In the mechanics of composite laminates the local mechanical inplane fields at corners of anisotropic material discontinuities are of particular interest since they can have singular behavior. In the present study, the stress and strain fields in the local near field of such corners are investigated by an asymptotic analysis. The order of the singularity of these mechanical inplane fields are determined in closed-form manner by use of the complex potential method based on Lekhnitskii's approach. Various different geometrical setups and material combinations of corners with material discontinuities are investigated with regard to their effect on the singular behavior of the mechanical fields present. These examples show that the order of singularity considered is clearly weaker than the typical crack tip singularity in fracture mechanics. Nevertheless, it may render the corner a critical location for the onset of failure.

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Inplane stress singularities at the interface corner of a bimaterial junction

Cited by 12 publications

References 10 publications

The singularity problem of the magneto-electro-elastic wedge-junction structure with consideration of the air effect

The singularity problem of the magneto-electro-elastic wedge-junction structure with consideration of the air effect

Analysis of anisotropic in-plane corners

Inplane Stress Singularities at the Corner of an Anisotropic Material Discontinuity

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