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| There are 16 papers published in subject: > since this site started. | |||
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| 1. Non-linear Motion Equations for Rod with Large Deformation | |||
| XIAO Jianhua | |||
| Mechanics 24 December 2012 | |||
| Show/Hide Abstract | Cite this paper︱Full-text: PDF (4K B) | |||
| Abstract:Referring to the central line of rod to establish local dragging coordinator system, the S+R decomposition of deformation tensor is used to obtain the two sets of non-linear motion equations of rod with large deformation. One set is about the central line, another set is out-central line regions. For simple bending and simple torsion, simplifed non-linear motion equations are obtained. The research shows that: 1) for sharp bending, the exact motion equations for elastic line is obtained; 2) for simple torsion, the intrinsic stretching along the rotation direction is indispensable. This is the main distinction between rigid rotation and the local whole rotation in continuum; 3) when the local rotation angle is big enough, the deformation will jump to the another kind of formation form; 4) the S+R decomposition can be viewed as decomposing the general deformation into one torsion-free local stretching S and one deformation with torsion R. | |||
| TO cite this article:XIAO Jianhua. Non-linear Motion Equations for Rod with Large Deformation[OL].[24 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4506394 | |||
| 2. Mixture Stress Tensor and Non-linear Motion Equations for Large Deformation | |||
| XIAO Jianhua | |||
| Mechanics 28 August 2012 | |||
| Show/Hide Abstract | Cite this paper︱Full-text: PDF (4K B) | |||
| Abstract:The non-linear motion equations of deformation are open problem for rational mechanics. For this research, the deformation is defined as the base vector transformation of commoving dragging coordinator system in geometrical field theory. As a logic conclusion, the strain and stress is defined as mixture tensors with the lower index related with current configuration and the upper index related with initial configuration. In this research, after a simply review about the mixture stress tensor, the corresponding motion equations are introduced. Then, the S+R decomposition is used to simplify the non-linear motion equations. To compare the general motion equations obtained in this research with the well-known non-linear motion equations, the motion equations in curvature coordinator systems are derived from general equations, respectively. Finally, the strategy to solve the general motion equations for large deformation is discussed. | |||
| TO cite this article:XIAO Jianhua. Mixture Stress Tensor and Non-linear Motion Equations for Large Deformation[OL].[28 August 2012] http://en.paper.edu.cn/en_releasepaper/content/4487977 | |||
| 3. Determining Stress and Effective Elastic Parameters for Spherical Contact Problems II: Dynamic Contact | |||
| Xiao Jianhua | |||
Mechanics 19 March 2008
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| Show/Hide Abstract | Cite this paper︱Full-text: PDF (4K B) | |||
| Abstract:The time dependent dynamic solutions are obtained in analytical form. The solution shows that: (1) for elastic contact, the time rate of stress increasing is determined by the contact geometry and medium feature (no dependence on load force); (2) for plastic contact, the time rate of stress increasing is determined by the medium feature (no dependence on load force and contact geometry); (3) for cracking contact, reducing the radium of sphere will increase the cracking range size and the cracking tip transportation speed; (4) for a given sphere size, increase the load will increase the cracking range and increase the cracking tip transportation speed. The solution in this paper forms the basic solution for the dynamic contact problem. | |||
| TO cite this article:Xiao Jianhua. Determining Stress and Effective Elastic Parameters for Spherical Contact Problems II: Dynamic Contact[OL].[19 March 2008] http://en.paper.edu.cn/en_releasepaper/content/19443 | |||
| 4. Determining Stress and Effective Elastic Parameters for Spherical Contact Problems I: Static Contact | |||
| Xiao Jianhua | |||
| Mechanics 11 March 2008 | |||
| Show/Hide Abstract | Cite this paper︱Full-text: PDF (4K B) | |||
| Abstract:For intrinsic incompressible medium, the spherical static contact problems are researched. The exact elastic analytical solutions are obtained. For the elastic-plastic deformation, the plastic stress and plastic deformation are obtained by the medium features and spherical radium parameters. The effective elastic-plastic constants are expressed explicitly. Furthermore, the cracked depth is formulated explicitly with the medium features and spherical radium parameters, also. Therefore, they form a complete solution for the problem under discussion. The results are compared with observed phenomenon. The evolution rate problem is discussed also. They are valuable for industry application. | |||
| TO cite this article:Xiao Jianhua. Determining Stress and Effective Elastic Parameters for Spherical Contact Problems I: Static Contact[OL].[11 March 2008] http://en.paper.edu.cn/en_releasepaper/content/19191 | |||
| 5. Intrinsic Knots Produced by Large Deformation in 3-Space II: Multiscale | |
| Xiao Jianhua | |
| Mechanics 10 January 2008 | |
| Show/Hide Abstract | Cite this paper︱Full-text: PDF (4K B) | <|