scholarly journals Analysis of cylindrical delamination cracks in multilayered functionally graded non-linear elastic circular shafts under combined loads

2018 ◽  
Vol 12 (46) ◽  
pp. 158-177 ◽  
Author(s):  
Victor Rizov
Keyword(s):  
Functionally Graded ◽  
Linear Elastic ◽  
Combined Loads ◽  
Non Linear ◽  
Delamination Cracks

Non-linear fracture in bi-directional graded shafts in torsion

2019 ◽  
Vol 15 (1) ◽  
pp. 156-169 ◽  
Author(s):  
Victor Rizov
Keyword(s):  
Release Rate ◽  
Strain Energy ◽  
Strain Energy Release Rate ◽  
Fracture Behaviour ◽  
Strain Energy Release ◽  
Functionally Graded ◽  
Content Type ◽  
Linear Elastic ◽  
Stress Strain Relation ◽  
Non Linear

Purpose The purpose of this paper is to develop an analysis of longitudinal fracture behaviour of a functionally graded non-linear-elastic circular shaft loaded in torsion. It is assumed that the material is functionally graded in both radial and longitudinal directions of the shaft (i.e. the material is bi-directional functionally graded). Design/methodology/approach The Ramberg–Osgood stress-strain relation is used to describe the non-linear mechanical behaviour of the functionally graded material. The fracture is studied in terms of the strain energy release rate by analysing the balance of the energy. The strain energy release rate is obtained also by differentiating of the complementary strain energy with respect to the crack area for verification. Findings Parametric studies are carried out in order to evaluate the influence of material gradients in radial and longitudinal directions, the crack location in radial direction and the crack length on the fracture behaviour of the shaft. It is found that by using appropriate gradients in radial and longitudinal directions, one can tailor the variations of material properties in order to improve the fracture performance of the non-linear-elastic circular shafts to the externally applied torsion moments. Originality/value A longitudinal cylindrical crack in a bi-directional functionally graded non-linear-elastic circular shaft loaded in torsion is analysed by using the Ramberg–Osgood stress-strain relation.

scholarly journals Non-linear elastic model incorporating temperature effects

2018 ◽  
Vol 5 (1) ◽  
pp. 22-30 ◽  
Author(s):  
Hong Liu ◽  
Hanlong Liu ◽  
Yang Xiao ◽  
Qingsheng Chen ◽  
Yufeng Gao ◽  
...  
Keyword(s):  
Temperature Effects ◽  
Elastic Model ◽  
Linear Elastic ◽  
Linear Elastic Model ◽  
Non Linear

NON-LINEAR VIBRATIONS OF A SLIGHTLY CURVED BEAM RESTING ON A NON-LINEAR ELASTIC FOUNDATION

1998 ◽  
Vol 212 (2) ◽  
pp. 295-309 ◽  
Author(s):  
H.R. Öz ◽  
M. Pakdemirli ◽  
E. Özkaya ◽  
M. Yilmaz
Keyword(s):  
Elastic Foundation ◽  
Curved Beam ◽  
Linear Elastic ◽  
Non Linear ◽  
Linear Vibrations
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