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.

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.

The New Approach to the Analysis of Elasto-Plastic Deformation of Solids Within the Bounds of Theory of Processes by A. A. Ilyushin

2001 ◽  
Author(s):  
Kamal Sh. Babamuratov ◽  
Rustam A. Abirov
Keyword(s):  
Plastic Deformation ◽  
Complex Loading ◽  
New Approach ◽  
Elastic Plastic ◽  
Computer Complex ◽  
Loading Method

Abstract In this report results of systematic researches of the experimental-theoretical CL-computer (complex loading) method, offered by Ilyushin for solving of problem of strength and strains of elastic-plastic bodies at an incomplete theoretical information about the equations of relation between stresses and strains and the method of appraisal of reliability of plasticity problems’ solution are given. Homogeneous and nonhomogeneous problems for element of construction in form of the rods, plates, shell are accomplished. The results of numerical and CL experiments indicate on perspectivity of considered methods for calculations and projection of responsible designs in an engineering and building.

scholarly journals On the covergence of an iteration method for solving the boundary value problem in tile theory of elasto - platic deformation processes

1985 ◽  
Vol 7 (3) ◽  
pp. 6-12
Author(s):  
Dao Huy Bich ◽  
Nguyen Cong Hop
Keyword(s):  
Plastic Deformation ◽  
Boundary Value Problem ◽  
Iteration Method ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Uniqueness Of Solution ◽  
Deformation Processes ◽  
Tile Theory

In this paper is proposed an iteration method, as the Iliousin' s method for solving the boundary value problem in the theory of elasto - plastic deformation processes. The convergence of this method, i. e. the existence and uniqueness of  solution of the boundary value problem are also considered. 

scholarly journals The local theory of elastoplastic deformation processes and the stability beyond elastic limits of thin-walled structures subjected to complex loading

1992 ◽  
Vol 14 (1) ◽  
pp. 1-9
Author(s):  
Dao Huy Bich
Keyword(s):  
Constitutive Relations ◽  
Complex Loading ◽  
Local Theory ◽  
Rectangular Plates ◽  
Thin Walled Structures ◽  
Plastic Deformation Process ◽  
Deformation Processes ◽  
Thin Walled ◽  
The Stability ◽  
Loading Parameter

The paper is concerned with the complete constitutive relations of elasto-plastic deformation process theory. Using this theory the stability beyond elastic limits of thin-walled structures subjected to complex loading is analyzed. The proposed method of loading parameter is a combination of numerical and analytical solutions. Calculations have been carried out for rectangular plates and cylindrical shells in order to compare this method and its results with other theoretical and experimental works.

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.

scholarly journals Research on the influence of the clamping devices on the size of the perforated holes in long round pipes

2022 ◽  
Vol 960 (1) ◽  
pp. 012023
Author(s):  
D I Poiană ◽  
I Ionel ◽  
G Drăghici
Keyword(s):  
Plastic Deformation ◽  
Mechanical Characteristics ◽  
Optimal Shape ◽  
Cold Plastic Deformation ◽  
Deformation Processes ◽  
The Stability

Abstract When perforation by cold plastic deformation processes of long round pipes, the technological problems appear primarily at the deformation of the part section, in the perforation area by losing the stability of the part, in the case of holes made at a distance from the pipe ends. The purpose of the research was to determine the influence of the constructive shape of the pipe clamping devices in the perforation area, in order to determine the device that offers the best stability of the section, to allow obtaining possible holes as large in diameter. The research was based on the application of materials strength methods and the Castigliano method of solving the indeterminacy, related to the process of cold plastic deformation. The research materialized by determining some calculation relations and specific diagrams regarding the diameter’s variation of the perforated holes in the air environment, depending on the dimensions of the part and the mechanical characteristics of the part material, for different forms of clamping devices. The calculations were performed considering that the perforation is performed in air, with a punch applied from the outside of the considered piece. The calculation relations and the obtained diagrams allow the determination of the maximum orifices, for certain dimensions of the pipes and for different mechanical characteristics of the part material. At the conclusions, a comparison was made of the results obtained for the variants of clamping considered devices and the optimal shape of the device was established, which allows the making of the largest perforated holes in the part.

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.

scholarly journals A new approach to the stability problem of plates subjected to arbitrary complex loading

1992 ◽  
Vol 14 (2) ◽  
pp. 2-6
Author(s):  
Dao Huy Bich
Keyword(s):  
Complex Loading ◽  
Critical Force ◽  
Parameter Method ◽  
New Approach ◽  
Average Curvature ◽  
Arbitrary Complex ◽  
Post Buckling ◽  
Deformation Processes ◽  
The Stability ◽  
Loading Parameter

The pre-buckling and post-buckling deformation processes are assumed to be less complicated, i.e. processes of average curvature, the influence of complex loading on the stability of plates was analyzed in [1]. In this paper eliminating this restriction, post buckling process may be arbitrary complicated, a generalized expression for determining critical force is formulated by Bubnov-Galiorkin's method and loading parameter method.

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