Higher Order Crack-Tip Fields of Reissner’s Linear Functionally Graded Materials Plates

2012 ◽  
Vol 549 ◽  
pp. 914-917
Author(s):  
Yao Dai ◽  
Jun Feng Liu ◽  
Lei Zhang ◽  
Xiao Chong ◽  
Hong Qian Chen
Keyword(s):  
Functionally Graded Materials ◽  
Crack Problem ◽  
Crack Tip ◽  
Expansion Method ◽  
Higher Order ◽  
Functionally Graded ◽  
Graded Materials ◽  
Fracture Theory ◽  
Bending Fracture ◽  
Asymptotic Expansion Method

Reissner’s plate bending fracture theory with consideration of transverse shear deformation effects is adopted for the crack problem of functionally graded materials (FGMs) plates. Assume that the crack is perpendicular to the material property gradient. By applying the asymptotic expansion method, the crack-tip higher order asymptotic fields which are similar to Williams’ solutions of homogeneous materials are obtained.

The Crack-Tip Higher Order Field of Power-Law FGMs Plates with Reissner’s Effect for Crack Parallel to Material Property Gradient

2013 ◽  
Vol 664 ◽  
pp. 821-824
Author(s):  
Yao Dai ◽  
Jun Feng Liu ◽  
Xiao Chong ◽  
Lei Zhang
Keyword(s):  
Material Property ◽  
Power Law ◽  
Crack Problem ◽  
Crack Tip ◽  
Expansion Method ◽  
Higher Order ◽  
Functionally Graded ◽  
Graded Materials ◽  
Fracture Theory ◽  
Bending Fracture

Reissner’s plate bending fracture theory with consideration of transverse shear deformation effects is adopted for the crack problem of power-law functionally graded materials (FGMs) plates. Assume that the crack is parallel to the material property gradient. By applying the asymptotic expansion method, the crack-tip higher order asymptotic fields which are similar to Williams’ solutions of homogeneous materials are obtained.

The Crack-Tip Higher Order Fields of Linear FGM Plates with Reissner’s Effect

2012 ◽  
Vol 476-478 ◽  
pp. 1421-1424
Author(s):  
Yao Dai ◽  
Jun Feng Liu ◽  
Lei Zhang ◽  
Xiao Chong
Keyword(s):  
Asymptotic Expansion ◽  
Functionally Graded Materials ◽  
Crack Tip ◽  
Expansion Method ◽  
Higher Order ◽  
Functionally Graded ◽  
Transverse Shear Deformation ◽  
Plate Bending ◽  
Graded Materials ◽  
Asymptotic Expansion Method

The Reissner’s plate bending theory with consideration of transverse shear deformation effects is adopted to study the fundamental fracture problem in functionally graded materials(FGMs) plates for a crack parallel to material gradient. By means of the asymptotic expansion method, the crack-tip higher order asymptotic fields which are similar to the famous Williams’ solutions to homogeneous materials are obtained.

The Higher Order Crack Tip Fields of Exponential Gradient FGMs Plates with Reissner’s Effect

2013 ◽  
Vol 278-280 ◽  
pp. 491-494
Author(s):  
Yao Dai ◽  
Xiao Chong
Keyword(s):  
Asymptotic Expansion ◽  
Crack Tip ◽  
Expansion Method ◽  
Higher Order ◽  
Functionally Graded ◽  
Transverse Shear Deformation ◽  
Plate Bending ◽  
Graded Materials ◽  
Fundamental Significance ◽  
Asymptotic Expansion Method

The Reissner’s plate bending theory with consideration of transverse shear deformation effects is adopted to study the fundamental fracture problem in functionally graded materials (FGMs) plates for a crack perpendicular to material gradient. The crack-tip higher order asymptotic fields of FGMs plates are obtained by the asymptotic expansion method. This study has fundamental significance as Williams’ solution.

The Higher Order Crack Tip Fields for Physical Weak-- Discontinuous Crack of FGM Plate with Reissner’s Effect

2013 ◽  
Vol 664 ◽  
pp. 841-845
Author(s):  
Yao Dai ◽  
Xiao Chong
Keyword(s):  
Engineering Application ◽  
Interfacial Crack ◽  
Crack Tip ◽  
Expansion Method ◽  
Higher Order ◽  
Functionally Graded ◽  
Homogeneous Material ◽  
Graded Materials ◽  
Crack Problems ◽  
Asymptotic Expansion Method

The physical weak-discontinuous problem of an interfacial crack between homogeneous material and functionally graded materials (FGMs) is studied based on Reissner’s plates considering transverse shear deformation effect. The crack-tip higher order asymptotic fields of homogeneous materials and FGMs regions are obtained by the asymptotic expansion method, respectively. Finally, the whole crack tip high order fields are assembled and given. The results provide a theoretical basis for solving interfacial crack problems of FGMs plates and their engineering application.

The Higher Order Axis-Directional Crack-Tip Field for Reissner's FGMs Cylindrical Shell

2013 ◽  
Vol 791-793 ◽  
pp. 746-749
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Xiao Chong ◽  
Chun Fang Xue
Keyword(s):  
Cylindrical Shell ◽  
Asymptotic Expansion ◽  
Crack Problem ◽  
Crack Tip ◽  
Expansion Method ◽  
Higher Order ◽  
Crack Tip Field ◽  
Engineering Structures ◽  
Crack Tip Fields ◽  
Asymptotic Expansion Method

Reissners theory for cylindrical shell is adopted to analyze the axis-directional crack problem for FGMs cylindrical shell by using the asymptotic expansion method. The eigen-solution of the crack-tip fields for the cylindrical shell is obtained. The results are similar to Williams solution for the plane problems in homogeneous materials, and will be applied widely to engineering structures.

The Higher Order Axis-Directional Crack-Tip Field for Power FGMs Cylindrical Shell with Reissner's Effect

2013 ◽  
Vol 419 ◽  
pp. 103-106
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Xiao Chong
Keyword(s):  
Cylindrical Shell ◽  
Asymptotic Expansion ◽  
Crack Problem ◽  
Crack Tip ◽  
Expansion Method ◽  
Higher Order ◽  
Crack Tip Field ◽  
Engineering Structures ◽  
Crack Tip Fields ◽  
Asymptotic Expansion Method

The theory for cylindrical shell with Reissners is adopted to analyze the axis-directional crack problem for FGMs cylindrical shell by using the asymptotic expansion method. The eigen-solution of the crack-tip fields for the cylindrical shell are obtained. The results are similar to Williams solution for the plane problems in homogeneous materials, and will be of wider application to engineering structures.

The Higher Order Crack-Tip Field for Reissner's Bidirectional FGMs Spherical Shell

2013 ◽  
Vol 748 ◽  
pp. 341-344
Author(s):  
Yao Dai ◽  
Zhang Lei ◽  
Xiao Chong
Keyword(s):  
Spherical Shell ◽  
Functionally Graded Materials ◽  
Superposition Principle ◽  
Crack Tip ◽  
Higher Order ◽  
Functionally Graded ◽  
Homogeneous Material ◽  
Crack Tip Field ◽  
Graded Materials ◽  
Crack Problems

The crack tip fields for a cracked functionally graded materials spherical shell considering Reissners effect are obtained. Similar to Williams solution for homogeneous material, the eigen-solution of the crack tip field for bi-directional FGMs spherical shell is obtained by stress superposition principle. This result can be used to deal with the crack problems for FGMs shell.

The Higher Order Crack-Tip Field for Reissners Power FGMs Spherical Shell

2013 ◽  
Vol 748 ◽  
pp. 354-357
Author(s):  
Yao Dai ◽  
Zhang Lei ◽  
Xiao Chong
Keyword(s):  
Asymptotic Expansion ◽  
Spherical Shell ◽  
Governing Equation ◽  
Crack Problem ◽  
Crack Tip ◽  
Expansion Method ◽  
Functionally Graded ◽  
Homogeneous Material ◽  
Crack Tip Field ◽  
Asymptotic Expansion Method

The crack problem of power functionally graded spherical shell with Reissners effect is studied. Based on the Reissners theory, the governing equation of power functionally graded spherical shell is given. The eigen-solution of the crack tip field is obtained by using the asymptotic expansion method. The result is similar to Williams solution for homogeneous material.

The Higher Order Asymptotic Crack-Tip Field for Reissner’s Linear Functionally Graded Shell

2012 ◽  
Vol 549 ◽  
pp. 826-829
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Jun Feng Liu ◽  
Xiao Chong ◽  
Hong Qian Chen
Keyword(s):  
Experimental Investigation ◽  
Engineering Application ◽  
Crack Tip ◽  
Expansion Method ◽  
Higher Order ◽  
Functionally Graded ◽  
Crack Tip Field ◽  
Crack Problems ◽  
Asymptotic Expansion Method ◽  
Functionally Graded Shell

The eigen-problem of a crack in functionally graded Reissner’s spherical shell is analyzed. By adopting the asymptotic expansion method, the higher order crack tip asymptotic fields which are similar to the Williams’ solutions of plane crack problems in homogenous materials are obtained. The grade direction is assumed to be parallel to the crack. The results can be widely adopted in numerical analysis, experimental investigation and the engineering application of FGM shell structure.

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