Discussion of Antiplane Singularities of Piezoelectric–Dielectric and Piezoelectric–Conductor Wedges

Liu, Thomas Jin-Chee; Chen, Chung De; Chue, Ching‐Hwei

doi:10.1007/s00419-006-0015-y

Cited by 5 publications

(6 citation statements)

References 4 publications

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“…The strongest singularity order from Eq. (22), which the absolute value |λ − 1| is the maximum, dominates the singular fields.…”

Section: Numerical Results and Discussionmentioning

confidence: 97%

“…The singularity order λ − 1 is determined by λ = −p, where p is the root by solving Eq. (22) numerically. The strongest singularity order from Eq.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…The roots of the characteristic equation (22) could be real or complex, and may be multiple roots. The singularity order λ − 1 is determined by λ = −p, where p is the root by solving Eq.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…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%

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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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“…The strongest singularity order from Eq. (22), which the absolute value |λ − 1| is the maximum, dominates the singular fields.…”

Section: Numerical Results and Discussionmentioning

confidence: 97%

“…The singularity order λ − 1 is determined by λ = −p, where p is the root by solving Eq. (22) numerically. The strongest singularity order from Eq.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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“…In recent years, the dynamic response of structural members subjected to blast loading has received much attention . Most studies have focused on the dynamic response of monolithic metal plates and beams against different types of impulsive loads that were either locally distributed at the centre of the plate or uniformly distributed over the entire plate area.…”

Section: Introductionmentioning

confidence: 99%

Experimental and theoretical study on large ductile transverse deformations of rectangular plates subjected to shock load due to gas mixture detonation

Mostofi

Babaei

Alitavoli

2017

Strain

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The main purpose of this study is to show that metal plate forming by direct application of gas mixture detonation loads can be considered as an alternative high‐velocity forming method for structures instead of a conventional one. Therefore, in this investigation, a series of experimental tests have been conducted on aluminium alloy and mild steel plates with different thicknesses to examine large ductile transverse deformations of rectangular plates with clamped edge conditions subjected to gas mixture detonation loading. The main aim of the experimental section is to investigate the effects of predetonation pressures of acetylene (C2H2) and oxygen (O2) gasses and different mixture ratios on the dynamic response of specimens. The permanent deflections of plates have widely varied from 21.66 up to 56.31 mm. In theoretical analysis, according to an upper bound solution and energy method, theoretical models have been presented by assuming a zero‐order Bessel function of the first kind in the x and y directions for a transverse displacement profile to predict permanent deflections. To account for material strain rate sensitivity, a Cowper–Symonds model has been used, whereas the material coefficients of this equation are constant values or functions of plate thickness. A comparison of the present models with Jones' theoretical model shows that a good agreement with experimental results can be obtained when constant values are used for material coefficients in the Cowper–Symonds equation.

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Exact and complete electro‐elastic field in a half‐space of piezoelectric medium with a charged surface electrode: Revisit

2012

Z Angew Math Mech

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This note revisits the electro‐elastic coupling behaviors of a transversely isotropic piezoelectric half‐space with a charged surface electrode. A different idea is provided by employing the three‐dimensional (3D) general solution of electro‐elasticity as well as generalized potential theory method. Compared with the previous studies, the method in this study is very simple and straightforward. The potential theory method is successfully extended to non‐axisymmetric case and the electrode can be of any planar configuration. For a charged penny‐shaped electrode, exact and complete 3D analysis is conducted. The validity of the present solutions is achieved numerically and analytically via comparing with those in literature. Some phenomena, which have escaped the attention of previous researchers, are observed. The present solutions are of theoretic and practical significance to serve as benchmarks for numerical codes and simplified studies.

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Discussion of Antiplane Singularities of Piezoelectric–Dielectric and Piezoelectric–Conductor Wedges

Cited by 5 publications

References 4 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

Experimental and theoretical study on large ductile transverse deformations of rectangular plates subjected to shock load due to gas mixture detonation

Exact and complete electro‐elastic field in a half‐space of piezoelectric medium with a charged surface electrode: Revisit

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