Existence and characterization of higher-order terms in an asymptotic expansion method for linearized elastic beams

1989 ◽  
Vol 2 (3) ◽  
pp. 223-255 ◽  
Author(s):  
L. Trabucho ◽  
J.M. Viaño
Keyword(s):  
Asymptotic Expansion ◽  
Expansion Method ◽  
Higher Order ◽  
Elastic Beams ◽  
Higher Order Terms ◽  
Asymptotic Expansion Method

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 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 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 Field of Circumferential Crack for Reissners FGMs Cylindrical Shell

2013 ◽  
Vol 791-793 ◽  
pp. 754-757
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Xiao Chong ◽  
Chun Fang Xue
Keyword(s):  
Cylindrical Shell ◽  
Asymptotic Expansion ◽  
Shell Theory ◽  
Crack Problem ◽  
Crack Tip ◽  
Expansion Method ◽  
Higher Order ◽  
Crack Tip Field ◽  
Circumferential Crack ◽  
Asymptotic Expansion Method

Reissners shell theory is employed to analyze the circumferential crack problem for FGMs cylindrical shell by using the asymptotic expansion method. The higher order crack tip fields for circumferential FGMs cylindrical shell which is similar to Williams solution are obtained.

The Higher Order Crack-Tip Field for Crack along x-Axis in Reissner's Bidirectional FGMs Cylindrical Shell

2013 ◽  
Vol 791-793 ◽  
pp. 758-761
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Xiao Chong ◽  
Ying Chen
Keyword(s):  
Cylindrical Shell ◽  
Asymptotic Expansion ◽  
Crack Tip ◽  
Expansion Method ◽  
Higher Order ◽  
Functionally Graded ◽  
Crack Tip Field ◽  
Crack Tip Fields ◽  
Homogeneous Materials ◽  
Asymptotic Expansion Method

The crack located along x-axis in bi-directional functionally graded cylindrical Reissners shell is studied. The asymptotic expansion method is used to obtain the eigen-solution of the higher order crack tip fields. The results are similar to Williams solutions to plane problems for homogeneous materials.

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