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A linear theory for bending stress-strain analysis of a beam with an edge crack

Behzad, M ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1016/j.engfracmech.2008.06.028
  3. Publisher: 2008
  4. Abstract:
  5. In this paper, a new linear theory for bending stress-strain analysis of a cracked beam has been developed. A displacement field has been suggested for the beam strain and stress calculations. The bending differential equation for the beam has been written using equilibrium equations. The required constant for this model is also obtained from fracture mechanics. The bending equation has been solved for a simply supported beam with rectangular cross-section and the results are compared with finite element and empirical results. There is an excellent agreement between theoretical results and those obtained by numerical and empirical methods. The model developed in this research is a simple and precise approximation of the behavior of the cracked beams in bending. © 2008 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Bending (forming) ; Difference equations ; Differential equations ; Differentiation (calculus) ; Finite element method ; Forming ; Fracture fixation ; Fracture mechanics ; Speed ; Strength of materials ; Stresses ; Bending ; Bending equation ; Bending stresses ; Cracked beams ; Displacement fields ; Edge cracks ; Elasticity ; Empirical methods ; Empirical results ; Equilibrium equations ; Finite element ; J-Integral ; Linear theories ; Rectangular cross sections ; Simply supported beams ; Stress calculations ; Bending (deformation)
  8. Source: Engineering Fracture Mechanics ; Volume 75, Issue 16 , 2008 , Pages 4695-4705 ; 00137944 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S001379440800194X