Linear eigenvalue analysis of laminated thin plates including the strain gradient effect by means of conforming and nonconforming rectangular finite elements

2021 ◽  
Vol 257 ◽  
pp. 106676
Author(s):  
Michele Bacciocchi ◽  
Nicholas Fantuzzi ◽  
Raimondo Luciano ◽  
Angelo Marcello Tarantino
2005 ◽  
Vol 02 (04) ◽  
pp. 601-626 ◽  
Author(s):  
JEOUNG-HEUM YEON ◽  
SUNG-KIE YOUN

A meshfree multiscale method is presented for efficient analysis of solids with strain gradient plastic effects. In the analysis of strain gradient plastic solids, localization due to increased hardening of strain gradient effect appears. Chen-Wang theory is adopted, as a strain gradient plasticity theory. It represents strain gradient effects as an internal variable and retains the essential structure of classical plasticity theory. In this work, the scale decomposition is carried out based on variational form of the problem. Coarse scale is designed to represent global behavior and fine scale to represent local behavior and gradient effect by using the intrinsic length scale. From the detection of high strain gradient region, fine scale region is adopted. Each scale variable is approximated using meshfree method. Meshfree approximation is well suited for adaptivity. As a method of increasing resolution, partition of unity based extrinsic enrichment is used. Each scale problem is solved iteratively. The proposed method is applied to bending of a thin beam and bimaterial shear layer and micro-indentation problems. Size effects can be effectively captured in the results of the analysis.


2010 ◽  
Vol 168-170 ◽  
pp. 1126-1129
Author(s):  
Wen Xu Ma ◽  
Ying Guang Fang

For the soil is a very complex natural material, significant strain gradient effect exist in soil analysis. Based on the "gradient" phenomenon, we add the plastic strain gradient hardening item into the traditional Cambridge yield surface. By using the consistency conditions and associated flow rule, we get the explicit expression of plastic strain gradient stiffness matrix. And the finite element method of plastic strain gradient is also shown in this article. Plastic strain gradient is actually a phenomenological non-local model containing microstructure information of the material. It may overcome the difficulties in simulating the gradient phenomenon by traditional mechanical model.


Nano Research ◽  
2010 ◽  
Vol 4 (3) ◽  
pp. 308-314 ◽  
Author(s):  
Qiang Fu ◽  
Zi Yue Zhang ◽  
Liangzhi Kou ◽  
Peicai Wu ◽  
Xiaobing Han ◽  
...  

2021 ◽  
Vol 315 ◽  
pp. 84-89
Author(s):  
Chang Feng Wan ◽  
Dong Feng Li ◽  
Hai Long Qin ◽  
Ji Zhang ◽  
Zhong Nan Bi

In this paper, a micromechanical finite element (FE) model has been proposed to investigate the effect of the nanoscale precipitates on the development of microplasticity for Inconel 718 (IN718) superalloy. A strain gradient crystal plasticity formulation has been developed with the considerations of the evolution of statistically stored dislocation density and geometrically necessary dislocation density. The mesh convergence has been examined, showing that sufficiently fine mesh is required in the FE model. The results show that the model with strain gradient effect incorporated shows less peak plastic strain and higher value of dislocation density than the model with no strain gradient effect. The present study indicates that the strain hardening process at the scale of strengthening precipitate is mainly governed by the evolution of geometrically necessary dislocation densities.


2019 ◽  
Vol 218 ◽  
pp. 170-189 ◽  
Author(s):  
Bo Zhang ◽  
Heng Li ◽  
Liulin Kong ◽  
Jizhen Wang ◽  
Huoming Shen

1992 ◽  
Vol 10-10 (3-4) ◽  
pp. 263-279 ◽  
Author(s):  
L. Della Croce ◽  
T. Scapolla
Keyword(s):  

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