A hybrid analytical-numerical solution for 3D notched plates

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This study used a hybrid analytical and numerical method to analyze three-dimensional (3D) elastic bodies with sharp-V notches. The proposed method separates the 3D equilibrium equation into primary and shadow parts, where the solution of the primary part is the analytical solution under the generalized plane-strain theory, and the shadow part is solved numerically using a weak form based on the finite element theory. A least-squares method is then used to find the multiplication factors of these primary and shadow modes using 3D finite element results. Numerical simulations indicate that the proposed method can accurately simulate the singularities near a sharp V-notch. The major advantage of this method is that a 3D whole displacement field with the singular effect based on the theoretical solution near the notch can be obtained for anisotropic materials under arbitrary loads.

Original languageEnglish
Pages (from-to)4113-4121
Number of pages9
JournalInternational Journal of Solids and Structures
Volume51
Issue number23-24
DOIs
Publication statusPublished - 2014 Nov 1

Fingerprint

notches
V-notch
Numerical Solution
Finite Element
elastic bodies
Numerical methods
equilibrium equations
Anisotropic Material
plane strain
Notch
Elastic body
Plane Strain
least squares method
Hybrid Method
Least Square Method
Analytical Methods
multiplication
Analytical Solution
Computer simulation
Multiplication

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

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A hybrid analytical-numerical solution for 3D notched plates. / Ju, S. H.

In: International Journal of Solids and Structures, Vol. 51, No. 23-24, 01.11.2014, p. 4113-4121.

Research output: Contribution to journalArticle

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