Frictionless contact of a functionally graded magneto-electro-elastic layered half-plane under a conducting punch

The sliding frictional contact problem for a laterally graded half-plane has been considered. Two finite element (FE) models, in macro and micro scales have been developed to investigate the effective parameters in contact mechanics of laterally graded materials loaded by flat and triangular rigid stamps. In macro scale model, the laterally graded half-plane is discretized by piecewise homogeneous layers for which the material properties are speciﬁed at the centroids by Mori-Tanaka method. In micro scale model, functionally graded material (FGM) structure has been modeled as ideal solid quadrant particles which are spatially distributed in a homogeneous matrix. Boundary conditions and loading is the same in both models. The microstructure has modeled as rearrangement and sizes changing of particles are possible to provide the possibility of crack nucleation investigation in non-singular regions. Analyses and comparison of the results showed that micro and macro scale results are in very good agreement. Also, increasing the grains aspect ratio and using optimum distribution of grains decrease stress distribution roughness on the surface. Therefore, the possibility of surface cracking far from stamp’s edges decreased.

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Axisymmetric frictionless contact of functionally graded materials

Archive of Applied Mechanics ◽

10.1007/s00419-007-0160-y ◽

2007 ◽

Vol 78 (4) ◽

pp. 267-282 ◽

Cited By ~ 62

Author(s):

Tie-Jun Liu ◽

Yue-Sheng Wang ◽

Chuanzeng Zhang

Keyword(s):

Functionally Graded Materials ◽

Functionally Graded ◽

Graded Materials ◽

Frictionless Contact

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THE SCATTERING OF SH WAVE ON THE ARRAY OF PERIODIC CRACKS IN A PIEZOELECTRIC SUBSTRATE BONDED A HALF-PLANE OF FUNCTIONALLY GRADED MATERIALS

Integral Equations, Boundary Value Problems and Related Problems ◽

10.1142/9789814452885_0003 ◽

2013 ◽

pp. 19-33

Author(s):

JUNQIAO LIU ◽

XING LI ◽

JUNQIAO LIU ◽

SHUZHUAN DONG ◽

XIYAN YAO ◽

...

Keyword(s):

Functionally Graded Materials ◽

Half Plane ◽

Functionally Graded ◽

Sh Wave ◽

Graded Materials ◽

Periodic Cracks ◽

Piezoelectric Substrate

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Frictionless Contact on Elastic Half Plane with Influence of Surface and Couple Stresses

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.897.73 ◽

2020 ◽

Vol 897 ◽

pp. 73-77

Author(s):

Toan Minh Le ◽

Tinh Quoc Bui ◽

Jintara Lawongkerd ◽

Suchart Limkatanyu ◽

Jaroon Rungamornrat

Keyword(s):

Contact Pressure ◽

Half Plane ◽

Numerical Study ◽

Surface Elasticity ◽

Fundamental Solutions ◽

Internal Length ◽

Frictionless Contact ◽

Couple Stresses ◽

Linear Elastic ◽

Contact Width

In this paper, a frictionless contact of a rigid flat-ended indentor on a linear elastic half plane is investigated by taking the influence of surface and couple stresses into account. The surface elasticity and couple stress theories are utilized to form a mathematical model. The Green’s function method together with the equilibrium condition of the indentor is employed to formulate the key equations governing the contact pressure. A collocation technique and a set of available fundamental solutions of a half plane under the surface loading are adopted to determine the unknown contact pressure. Results from a numerical study reveal that the presence of both surface and couple stresses significantly alters the distribution of the contact pressure from that predicted by the classical linear elasticity, and the size-dependent characteristics of predicted solutions are obviously observed when the contact width is comparable to the internal length scales of the surface and bulk materials.

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