Stress field of a radially functionally graded panel with a circular elastic inclusion under static anti-plane shear loading

2015 ◽  
Vol 29 (3) ◽  
pp. 1163-1173 ◽  
Author(s):  
Peng-peng Shi
Keyword(s):  
Stress Field ◽  
Elastic Inclusion ◽  
Shear Loading ◽  
Functionally Graded ◽  
Plane Shear ◽  
Circular Elastic Inclusion

Wrinkling of Functionally Graded Sandwich Structures Subject to Biaxial and In-Plane Shear Loads

2017 ◽  
Vol 84 (12) ◽  
Author(s):  
Victor Birman ◽  
Harold Costa
Keyword(s):  
Uniaxial Compression ◽  
Sandwich Structures ◽  
Sandwich Panels ◽  
Shear Loading ◽  
Functionally Graded ◽  
Biaxial Compression ◽  
Equal Weight ◽  
Plane Shear ◽  
The Core ◽  
Shear Loads

Benefits of a functionally graded core increasing wrinkling stability of sandwich panels have been demonstrated in a recent paper (Birman, V., and Vo, N., 2017, “Wrinkling in Sandwich Structures With a Functionally Graded Core,” ASME J. Appl. Mech., 84(2), p. 021002), where a several-fold increase in the wrinkling stress was achieved, without a significant weight penalty, using a stiffer core adjacent to the facings. In this paper, wrinkling is analyzed in case where the facings are subject to biaxial compression and/or in-plane shear loading, and the core is arbitrary graded through the thickness. Two issues addressed are the effect of biaxial or in-plane shear loads on wrinkling stability of panels with both graded and ungraded core, and the verification that functional grading of the core remains an effective tool increasing wrinkling stability under such two-dimensional (2D) loads. As follows from the study, biaxial compression and in-plane shear cause a reduction in the wrinkling stress compared to the case of a uniaxial compression in all grading scenarios. Accordingly, even sandwich panels whose mode of failure under uniaxial compression was global buckling, the loss of strength in the facings or core crimpling may become vulnerable to wrinkling under 2D in-plane loading. It is demonstrated that a functionally graded core with the material distributed to increase the local stiffness in the interface region with the facings is effective in preventing wrinkling under arbitrary in-plane loads compared to the equal weight homogeneous core.

Functionally Graded Materials with Periodic Cracks Subjected to Transient Loading

2006 ◽  
Vol 312 ◽  
pp. 47-52
Author(s):  
Jie Cai Han ◽  
Bao Lin Wang
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Surface Displacement ◽  
Transient State ◽  
Shear Loading ◽  
Functionally Graded ◽  
Intensity Factors ◽  
Plane Shear ◽  
Graded Materials ◽  
Graded Material

A periodic array of cracks in a functionally graded material under transient mechanical loading is investigated. Anti-plane shear loading condition is considered. A singular integral equation is derived, in which the crack surface displacement is the unknown function. Numerical results are obtained to illustrate the variations of the stress intensity factors as a function of the crack periodicity for different values of the material nonhomogeneity, either at the transient state or at the steady state. The material non-homogeneity can increase or reduce the stress intensity factors. Comparing with the single crack solution, it can be shown that multiple cracking can reduce the stress intensity factor significantly.

scholarly journals Thermoelastic analysis of FGM hollow cylinder for variable parameters and temperature distributions using FEM

2020 ◽  
Vol 9 (1) ◽  
pp. 256-264
Author(s):  
Dinkar Sharma ◽  
Ramandeep Kaur
Keyword(s):  
Stress Field ◽  
Hollow Cylinder ◽  
Numerical Study ◽  
Axial Stress ◽  
Circumferential Stress ◽  
Functionally Graded ◽  
Gradient Index ◽  
Variable Parameters ◽  
Graded Material ◽  
Governing Differential Equation

AbstractThis paper presents, numerical study of stress field in functionally graded material (FGM) hollow cylinder by using finite element method (FEM). The FGM cylinder is subjected to internal pressure and uniform heat generation. Thermoelastic material properties of FGM cylinder are assumed to vary along radius of cylinder as an exponential function of radius. The governing differential equation is solved numerically by FEM for isotropic and anistropic hollow cylinder. Additionally, the effect of material gradient index (β) on normalized radial stresses, normalized circumferential stress and normalized axial stress are evaluated and shown graphically. The behaviour of stress versus normalized radius of cylinder is plotted for different values of Poisson’s ratio and temperature. The graphical results shown that stress field in FGM cylinder is influenced by some of above mentioned parameters.

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