scholarly journals Geometrically non-linear forced vibrations of fully clamped functionally graded beams with multi-cracks resting on intermediate simple supports

2019 ◽  
Vol 1264 ◽  
pp. 012023
Author(s):  
M Chajdi ◽  
H Fakhreddine ◽  
A Adri ◽  
K El bikri ◽  
R Benamar
Keyword(s):  
Forced Vibrations ◽  
Functionally Graded ◽  
Non Linear ◽  
Simple Supports

NON-LINEAR FORCED VIBRATIONS OF AN INHOMOGENEOUS LAYER

1999 ◽  
Vol 228 (1) ◽  
pp. 91-108 ◽  
Author(s):  
I. COSKUN ◽  
H. ENGIN ◽  
M.E. ERGÜVEN
Keyword(s):  
Forced Vibrations ◽  
Inhomogeneous Layer ◽  
Non Linear

scholarly journals Non-linear buckling analysis of functionally graded shallow spherical shells

2009 ◽  
Vol 31 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Dao Huy Bich
Keyword(s):  
External Pressure ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Power Law Distribution ◽  
Governing Equations ◽  
Spherical Shells ◽  
Buckling Loads ◽  
Linear Buckling ◽  
Non Linear ◽  
Linear Buckling Analysis

In the present paper the non-linear buckling analysis of functionally graded spherical shells subjected to external pressure is investigated. The material properties are graded in the thickness direction according to the power-law distribution in terms of volume fractions of the constituents of the material. In the formulation of governing equations geometric non-linearity in all strain-displacement relations of the shell is considered. Using Bubnov-Galerkin's method to solve the problem an approximated analytical expression of non-linear buckling loads of functionally graded spherical shells is obtained, that allows easily to investigate stability behaviors of the shell.

Mode II Fracture of Functionally Graded Beams Exhibiting Material Non-Lynearity

2017 ◽  
Vol 863 ◽  
pp. 317-322
Author(s):  
Victor Iliev Rizov
Keyword(s):  
Strain Energy Release ◽  
Functionally Graded ◽  
Integral Approach ◽  
Mode Ii ◽  
Graded Materials ◽  
Mode Ii Fracture ◽  
Crack Location ◽  
Linear Fracture ◽  
Non Linear ◽  
Beam Height

A non-linear analysis of the mode II fracture in functionally graded materials was developed by using a beam configuration with two longitudinal cracks located symmetrically with respect to the centroid. The beam mechanical behaviour was described by a non-linear stress-strain relation. The non-linear fracture was studied by the J-integral approach. An analysis of the strain energy release rate was conducted with considering the material non-linearity in order to verify the J-integral non-linear analytical solution derived. The solution obtained is very convenient for parametric studies of mode II fracture in functionally graded beams exhibiting material non-linearity. The effects of material properties and crack location along the beam height on the non-linear fracture were evaluated. The results can be used for optimization of the beam structures with respect to the fracture performance.

A Multimode Approach to Geometrically Non-linear Forced Vibrations of Euler–Bernoulli Multispan Beams

2019 ◽  
Vol 8 (2) ◽  
pp. 319-326 ◽  
Author(s):  
Hatim Fakhreddine ◽  
Ahmed Adri ◽  
Said Rifai ◽  
Rhali Benamar
Keyword(s):  
Forced Vibrations ◽  
Non Linear
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