Singularity characteristic analysis for a V-notch in angularly heterogeneous moderately thick plate

Chen, Cheng; Yao, Shanlong; Sun, Jianfei; Niu, Zhongrong

doi:10.1016/j.ijmecsci.2016.07.001

Cited by 5 publications

(2 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where F is the transform matrix which can be obtained from equation ( 14), c = fc l n g (n = 1 2 N E ) is the unknown coefficients vector which can be determined by solving equation (22). Substituting equation (22) to equation ( 21), the formulation of the coupling approach can be finally expressed as:…”

Section: Formulation Of the Coupling Approachmentioning

confidence: 99%

“…Huang [21] investigated the Williams-type stress singularities in first-order shear deformation plate theory (FSDPT). Cheng et al [22] studied the stress singularity order and characteristic angular function for a V-notch in a moderately thick plate with angularly heterogeneous elastic property by applying FSDPT. Chen [23] applied the Mellin transform to study the stress singularities in a sectorial plate based on the Reissner-Mindlin plate theory.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Accurate fracture analysis of multi-material V-notched Reissner plates under bending or twisting

Xiong

Yang

Zhang

et al. 2022

Mathematics and Mechanics of Solids

View full text Add to dashboard Cite

An accurate fracture analysis of multi-material V-notched Reissner plates under bending or twisting is performed by a new coupling approach of isogeometric analysis (IGA) and eigenfunction expansion method. In this approach, the overall plate is divided into two regions: a singular region near the notch tip (near field) and a regular region far away from the notch tip (far field). The overall model is discretized by a T-spline-based IGA. Asymptotic solutions of singular stress fields are applied to the near field, and therefore, the large number of fundamental unknowns of control points is reduced into a small set of undetermined coefficients. The unknowns in the far field remain unchanged. Consequently, the computational cost is significantly reduced, and explicit expressions of singular stress components in the vicinity of notch tip are obtained without post processing. Comparisons are presented to demonstrate the accuracy and convergence of the present approach. Effects of key influencing factors on the singularity order and singular items of stresses are investigated also.

show abstract

Section: Formulation Of the Coupling Approachmentioning

confidence: 99%