The Effect of Transverse Shear in Symmetric and Asymmetric End Notch Flexure Tests–Analytical and Numerical Modeling

Autor: Jarosław Bieniaś, Konrad Dadej, Paolo Sebastiano Valvo
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Timoshenko beam theory
Materials science
Differential equation
Shear force
transversal shear forces
02 engineering and technology
finite element analysis
lcsh:Technology
Article
delamination
fracture toughness
Fracture toughness
0203 mechanical engineering
Deflection (engineering)
compliance calibration
General Materials Science
lcsh:Microscopy
asymmetrical end notch flexure
laminates
analytical modeling
lcsh:QC120-168.85
lcsh:QH201-278.5
lcsh:T
Mechanics
021001 nanoscience & nanotechnology
Finite element method
Transverse plane
020303 mechanical engineering & transports
lcsh:TA1-2040
Bending moment
lcsh:Descriptive and experimental mechanics
lcsh:Electrical engineering. Electronics. Nuclear engineering
lcsh:Engineering (General). Civil engineering (General)
0210 nano-technology
lcsh:TK1-9971
Zdroj: Materials
Volume 13
Issue 14
Materials, Vol 13, Iss 3046, p 3046 (2020)
ISSN: 1996-1944
Popis: This paper focuses on the effects of transverse shear and root rotations in both symmetric and asymmetrical end-notched flexure (AENF) interlaminar fracture toughness tests. A theoretical model is developed, whereas the test specimen is subdivided into four regions joined by a rigid interface. The differential equations for the deflection and rotations of each region are solved within both the Euler&ndash
Bernoulli simple beam theory (SBT) and the more refined Timoshenko beam theory (TBT). A concise analytical equation is derived for the AENF deflection profile, compliance, and transverse shearing forces as a function of the specimen geometry, stacking sequence, delamination length, and fixture span. Modeling results are compared with numerical finite element analyses, obtaining a very good agreement. Performed analyses suggest that even in the case of symmetrical and unidirectional laminates considered as pure mode II fracture, a complex compression/tension and bending moment state is present, as well as a slight contribution of anti-planar shear at the vicinity of the crack tip.
Databáze: OpenAIRE
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