Vibration of two-phase local/nonlocal Timoshenko nanobeams with an efficient shear-locking-free finite-element model and exact solution

Author(s):  
Mahmood Fakher ◽  
Shahrokh Hosseini-Hashemi
2020 ◽  
Vol 150 ◽  
pp. 103555
Author(s):  
F. Bormann ◽  
K. Mikeš ◽  
O. Rokoš ◽  
R.H.J. Peerlings

1991 ◽  
Vol 24 (7) ◽  
pp. 527-538 ◽  
Author(s):  
Jacques M. Huyghe ◽  
Dick H. van Campen ◽  
Theo Arts ◽  
Robert M. Heethaar

PAMM ◽  
2009 ◽  
Vol 9 (1) ◽  
pp. 391-392
Author(s):  
Mengmeng Zhou ◽  
Felix Nagel ◽  
Jens Kruschwitz ◽  
Günther Meschke

2013 ◽  
Vol 682 ◽  
pp. 185-190
Author(s):  
S. Sakami ◽  
H. Sabhi ◽  
R. Ayad

The model DDM (Discrete Displacement Mindlin), leads to a finite element which is geometrically simple: 4-node quadrilateral with 5 doffs per node for a shell and efficient. The mid-side rotational nodes, derived from a quadratic interpolation of normal rotations, are eliminated using a combination of local discrete kinematic and constitutive Mindlin hypotheses. The derived 4-node element is free of shear locking and passes all patch tests for thick and thin plates in arbitrary mesh. The applications concern the static and dynamic analysis of sandwich and multilayered shells.


2011 ◽  
Vol 117-119 ◽  
pp. 503-508
Author(s):  
Zhi Ping Ding ◽  
Ming Li ◽  
Teng Fei Wang ◽  
Rong Hua Yang

Based on micro structure of Ni-based single crystal superalloy, a γ/γ’ two-phase unit cell finite element model was established, and its cyclic stress-strain was simulated under tension/torsion cyclic loading. A low cycle fatigue (LCF) life prediction model of single crystal superalloy was proposed by using cyclic plasticity strain energy as a parameter based on energy dissipation theory. Calculation results of macro finite element model and γ/γ’ two-phase unit cell micro finite element model, and multiaxial LCF test data of CMSX-2 Ni-based single crystal superalloy along [001] orientation were applied to fit the LCF life model by multiple linear regression. The results show that the unit cell model not only reflects the microstructure characteristics of single crystal Ni-based superalloy, but also is better than the macro model in accuracy of analysis, and greatly improve the accuracy of fatigue life prediction. Almost test data fall into the factor of 2.0 scatter band.


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