scholarly journals Incompatible Deformation Model of Rocks with Defects around a Thick-Walled Cylinder

Processes ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 2215
Author(s):  
Yingji Bao ◽  
Binsong Jiang
Keyword(s):  
Plastic Deformation ◽  
Strain Tensor ◽  
Continuum Theory ◽  
Plastic State ◽  
Deformation Model ◽  
Underground Engineering ◽  
Metric Tensor ◽  
Finite Element Program ◽  
Elastic Plastic ◽  
Walled Cylinder

Before the excavation of underground engineering, joints, fissures, and voids already exist in the rock—that is, there are defects in the rock. Due to the existence of these defects, the rock produces plastic deformation, which can lead to incompatible deformation. Therefore, the classic continuum theory cannot accurately describe the deformation of the rock. In this paper, a relationship between the strain tensor and metric tensor was studied by analyzing the three states of elastic plastic deformation, and the elasto-plastic incompatible model was built. Additionally, the stress and deformation of a thick-walled cylinder under hydrostatic pressure was investigated by using a finite element program written in the FORTRAN language. The results show that the plastic strain is associated with not only deviator stress but also the distribution of defects (represented by the incompatible parameter R). With the value of R increasing, the defects in the rock increased, but the elastic plastic stiffness matrix decreased. Thus, as more rock enters the plastic state, the deformation of the surrounding rock is enlarged.

Friction Force and Stresses Analysis for Contact of Assembled Details

2006 ◽  
Vol 113 ◽  
pp. 334-338
Author(s):  
Z. Dreija ◽  
O. Liniņš ◽  
Fr. Sudnieks ◽  
N. Mozga
Keyword(s):  
Mechanical Properties ◽  
Surface Roughness ◽  
Plastic Deformation ◽  
Friction Force ◽  
Sliding Friction ◽  
Friction Model ◽  
Contact Interface ◽  
Finite Element Program ◽  
Elastic Plastic ◽  
Element Program

The present work deals with the computation of surface stresses and deformation in the presence of friction. The evaluation of the elastic-plastic contact is analyzed revealing three distinct stages that range from fully elastic through elastic-plastic to fully plastic contact interface. Several factors of sliding friction model are discussed: surface roughness, mechanical properties and contact load and areas that have strong effect on the friction force. The critical interference that marks the transition from elastic to elastic- plastic and plastic deformation is found out and its connection with plasticity index. A finite element program for determination contact analysis of the assembled details and due to details of deformation that arose a normal and tangencial stress is used.

Elastic-Plastic Deformation of Milling Thin Wall Part

2013 ◽  
Vol 345 ◽  
pp. 321-324
Author(s):  
Ai Jun Tang ◽  
Hai Long Ma ◽  
Zhan Qiang Liu
Keyword(s):  
Plastic Deformation ◽  
End Milling ◽  
High Accuracy ◽  
Fe Analysis ◽  
Deformation Model ◽  
Thin Wall ◽  
Deformation Prediction ◽  
Elastic Plastic ◽  
Very High ◽  
Thin Wall Part

Aircraft components are mostly made by aluminum alloy as thin wall types. These parts are usually end milled to required thicknesses and tight tolerances in specific areas. The thin wall parts are difficult to machine because they are easy to vibrate and deformed due to their lower rigidity. This paper proposes a new elastic-plastic deformation model which is suitable for prediction of machining deformations of end milled thin wall parts. The theoretical deformation model is established on the basis of the equations of Von Kármán. The part deformations are simulated using FE analysis and Matlab. The results show that the deformations for the end milling of thin wall parts can be captured with very high accuracy using the proposed elastic-plastic deformation prediction model.

scholarly journals Elastic-plastic state of a short-circular cylinder subjected to axesymmetrical complex loading

1995 ◽  
Vol 17 (1) ◽  
pp. 1-8
Author(s):  
Vu Khac Bay
Keyword(s):  
Plastic Deformation ◽  
Numerical Solution ◽  
Iteration Method ◽  
Complex Loading ◽  
Plastic State ◽  
Space Problem ◽  
Elastic Plastic ◽  
Modified Method ◽  
Deformation Processes ◽  
The Stability

The modified method of elastic solution in the theory of elastic-plastic deformation processes had been proposed in [1]. Through the numerical solution of some elastic-plastic plane problems, the convergence, the convergence rate and the stability of this iteration method had been considered [3, 4]. In this paper, also through the numerical solution of the elastic-plastic space problem, the characters of this iteration method are considered, and the influence of complex loading processes to elastic-plastic state is confirmed.

An algorithm for region extraction based on an elastic-plastic deformation model

2001 ◽  
Vol 32 (5) ◽  
pp. 46-54
Author(s):  
Mikito Ikuta ◽  
Akihiro Minagawa ◽  
Toshiyuki Gotoh
Keyword(s):  
Plastic Deformation ◽  
Deformation Model ◽  
Elastic Plastic ◽  
Region Extraction

Experiments and Simulation of Elastic-Plastic Deformation in Thin Wall Part Milling

2011 ◽  
Vol 314-316 ◽  
pp. 482-486 ◽  
Author(s):  
Ai Jun Tang ◽  
Zhan Qiang Liu
Keyword(s):  
Plastic Deformation ◽  
Cnc Machining ◽  
Deformation Model ◽  
Thin Wall ◽  
Peripheral Milling ◽  
Deformation Prediction ◽  
Elastic Plastic ◽  
Machining Center ◽  
Cnc Machining Center ◽  
Thin Wall Part

Aircraft components are mostly made by aluminum alloy as thin wall types. These parts are usually end milled to required thicknesses and tight tolerances in specific areas. The thin wall parts are difficult to machine because they are easy to vibrate and deformed due to their lower rigidity. This paper proposes a new elastic-plastic deformation model which is suitable for prediction of machining deformations of end milled thin wall parts. The theoretical deformation model is established on the basis of the equations of Von Kármán. The effect of bending springback is also taken into account. The part deformations are simulated using FE analysis and Matlab. Milling experiments on a CNC machining center are performed. The experimental results show that the deformations for the peripheral milling of thin wall parts can be captured with very high accuracy using the proposed elastic-plastic deformation prediction model.

Identification and Simulation of Elastic-Plastic Deformation Model

2005 ◽  
Vol 482 ◽  
pp. 315-318 ◽  
Author(s):  
Łukasz Maciejewski ◽  
Wojciech Myszka ◽  
Grażyna Ziętek
Keyword(s):  
Plastic Deformation ◽  
Deformation Model ◽  
Elastic Plastic

Elastic-Plastic State of Inhomogeneous Soil Array with a Spherical Cavity

2013 ◽  
Vol 842 ◽  
pp. 462-465 ◽  
Author(s):  
Vladimir I. Andreev ◽  
Anatoliy S. Avershyev ◽  
Stanislaw Jemiolo
Keyword(s):  
Plastic Deformation ◽  
Outer Surface ◽  
Spherical Cavity ◽  
Plastic Material ◽  
Plastic State ◽  
Cavity Model ◽  
Limit Loads ◽  
Elastic Plastic ◽  
Perfectly Plastic ◽  
Elastic Perfectly Plastic

The article deals with the elastic-plastic state of inhomogeneous array with a spherical cavity. Model is used thick-walled ball of an elastic-perfectly plastic material (Prandtl diagram). It is shown that in the inhomogeneous material, depending on the inhomogeneity functions describing the change of the modulus of elasticity and yield stress of soil plastic deformation may appear on both the inner and outer surface of the ball and inside it. Are found values of the limit loads, displacement diagrams are constructed in an array.

Elasto-plastic state of curve beam system subjected to complex loading

1996 ◽  
Vol 18 (4) ◽  
pp. 14-22
Author(s):  
Vu Khac Bay
Keyword(s):  
Cylindrical Shell ◽  
Solution Method ◽  
Complex Loading ◽  
Numerical Results ◽  
Elastic Solution ◽  
Plastic State ◽  
Curve Beam ◽  
Elastic State ◽  
Elastic Plastic ◽  
Beam System

Investigation of the elastic state of curve beam system had been considered in [3]. In this paper the elastic-plastic state of curve beam system in the form of cylindrical shell is analyzed by the elastic solution method. Numerical results of the problem and conclusion are given.

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