2D and 3D Deformable Solid Bodies

2021 ◽  
pp. 216-247
Keyword(s):  
Deformable Solid ◽  
Solid Bodies ◽  
2D And 3D

scholarly journals GEODYNAMICS

GEODYNAMICS ◽  
2011 ◽  
Vol 2(11)2011 (2(11)) ◽  
pp. 138-140
Author(s):  
H.H. Kuliyev ◽  
Keyword(s):  
Phase Transitions ◽  
Equilibrium State ◽  
Linear Theory ◽  
Structural Instability ◽  
Loss Of Stability ◽  
Geometric Form ◽  
Deformable Solid ◽  
The Earth ◽  
Internal Structures ◽  
Solid Bodies

The processes of consolidation, deconsolidation, phase transitions and destructions in the terms of internal structures of the Earth аre studied on the base of non-linear theory of deformable solid bodies. It is shown that the loss of stability of equilibrium state can precede to the processes of deconsolidation, phase transitions and destructions on geometric form change (structural instability).

scholarly journals Nondestructive Identification of Inhomogeneous Residual Stress State in Deformable Bodies on the Basis of the Acoustic Sounding Method

2014 ◽  
Vol 996 ◽  
pp. 409-414 ◽  
Author(s):  
Vladimir Vladimirovich Dudarev ◽  
Rostislav Dmitrievich Nedin ◽  
Alexander Ovanesovich Vatulyan
Keyword(s):  
Residual Stress ◽  
Cylindrical Tube ◽  
Surface Displacement ◽  
Iterative Regularization ◽  
Deformable Solid ◽  
Residual Stress State ◽  
Deformable Bodies ◽  
Load Types ◽  
Solid Bodies ◽  
Set Of Points

Analysis of inhomogeneous residual stress (RS) fields in bodies is one of the major problems of the mechanics of deformable solid bodies. In the present research the new techniques of identification of inhomogeneous RS in bodies are developed on the basis of surface displacement measurement in a set of points under vibrating sounding load. Corresponding nonlinear ill-posed inverse problems (IP) are formulated and solved numerically by means of iterative regularization. Based on computational experiments, the most advantageous sounding load types and frequency ranges providing the best reconstruction accuracy are revealed. The examples for a cantilever, a plate, a layer, and a cylindrical tube are presented.

scholarly journals Continuous and discrete models in the mechanics of deformable solid bodies

2018 ◽  
Vol 184 ◽  
pp. 01004
Author(s):  
Géza Lámer
Keyword(s):  
Continuum Model ◽  
Continuous Medium ◽  
Geometric Model ◽  
Discrete Models ◽  
Deformable Solid ◽  
Medium Model ◽  
Continuous Description ◽  
Discrete Nature ◽  
Solid Bodies ◽  
Discrete Medium

The study provides an overview of modelling possibilities for the mechanical behaviour of media. The discrete, continuous or differential geometric as well as the discrete nature and continuous description grid continuum model in particular are highlighted. We point out that the differential geometric model is based on the concept of continuity and interprets a continuous medium model. We reveal that the grid continuum model is based on the application of numerical method and interprets a discrete medium model.

scholarly journals A Smoothed Finite Element-Based Elasticity Model for Soft Bodies

2017 ◽  
Vol 2017 ◽  
pp. 1-14
Author(s):  
Juan Zhang ◽  
Mingquan Zhou ◽  
Youliang Huang ◽  
Pu Ren ◽  
Zhongke Wu ◽  
...  
Keyword(s):  
Computational Cost ◽  
Smoothing Method ◽  
Deformable Solid ◽  
Mesh Distortion ◽  
Softening Effect ◽  
Adaptive Smoothing ◽  
Large Rotation ◽  
Distorted Mesh ◽  
Strain Smoothing ◽  
Solid Bodies

One of the major challenges in mesh-based deformation simulation in computer graphics is to deal with mesh distortion. In this paper, we present a novel mesh-insensitive and softer method for simulating deformable solid bodies under the assumptions of linear elastic mechanics. A face-based strain smoothing method is adopted to alleviate mesh distortion instead of the traditional spatial adaptive smoothing method. Then, we propose a way to combine the strain smoothing method and the corotational method. With this approach, the amplitude and frequency of transient displacements are slightly affected by the distorted mesh. Realistic simulation results are generated under large rotation using a linear elasticity model without adding significant complexity or computational cost to the standard corotational FEM. Meanwhile, softening effect is a by-product of our method.

Analysis of 2D and 3D defects associated with precipitation of Cu in silicon

1991 ◽  
Vol 49 ◽  
pp. 870-871
Author(s):  
P.M. Rice ◽  
MJ. Kim ◽  
R.W. Carpenter
Keyword(s):  
Colony Growth ◽  
Dark Field ◽  
Dark Side ◽  
Silicide Phase ◽  
Strain Fields ◽  
Near Surface ◽  
Unknown Composition ◽  
Secondary Precipitates ◽  
20 Nm ◽  
2D And 3D

Extrinsic gettering of Cu on near-surface dislocations in Si has been the topic of recent investigation. It was shown that the Cu precipitated hetergeneously on dislocations as Cu silicide along with voids, and also with a secondary planar precipitate of unknown composition. Here we report the results of investigations of the sense of the strain fields about the large (~100 nm) silicide precipitates, and further analysis of the small (~10-20 nm) planar precipitates.Numerous dark field images were analyzed in accordance with Ashby and Brown's criteria for determining the sense of the strain fields about precipitates. While the situation is complicated by the presence of dislocations and secondary precipitates, micrographs like those shown in Fig. 1(a) and 1(b) tend to show anomalously wide strain fields with the dark side on the side of negative g, indicating the strain fields about the silicide precipitates are vacancy in nature. This is in conflict with information reported on the η'' phase (the Cu silicide phase presumed to precipitate within the bulk) whose interstitial strain field is considered responsible for the interstitial Si atoms which cause the bounding dislocation to expand during star colony growth.

Covalent organic frameworks: an ideal platform for designing ordered materials and advanced applications

2021 ◽  
Author(s):  
Ruoyang Liu ◽  
Ke Tian Tan ◽  
Yifan Gong ◽  
Yongzhi Chen ◽  
Zhuoer Li ◽  
...  
Keyword(s):  
Covalent Organic Frameworks ◽  
2D And 3D ◽  
Advanced Applications

Covalent organic frameworks offer a molecular platform for integrating organic units into periodically ordered yet extended 2D and 3D polymers to create topologically well-defined polygonal lattices and built-in discrete micropores and/or mesopores.

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