XXVI.—The Normal Penetration of a Thin Elastic-Plastic Plate by a Right Circular Cone

1952 ◽  
Vol 63 (4) ◽  
pp. 359-370
Author(s):  
J. W. Craggs
Keyword(s):  
Plastic Deformation ◽  
Thin Plate ◽  
Circular Cone ◽  
Thin Wire ◽  
Plastic Plate ◽  
Elastic Plastic ◽  
Uniform Velocity ◽  
Infinite Extent ◽  
Elastic And Plastic Deformation

SynopsisA study is made of the propagation of elastic and plastic deformation in a thin plate, initially unstressed, and of infinite extent, when it is penetrated normally by a cone moving with uniform velocity. The work is an extension of unpublished researches by Sir G. I. Taylor on the corresponding problem for a thin wire, and a summary of his results is included.

A Correct Definition of Elastic and Plastic Deformation and Its Computational Significance

1981 ◽  
Vol 48 (1) ◽  
pp. 35-40 ◽  
Author(s):  
V. A. Lubarda ◽  
E. H. Lee
Keyword(s):  
Plastic Deformation ◽  
Finite Deformation ◽  
Elastic Strain ◽  
Total Rate ◽  
Plastic Part ◽  
Elastic Plastic ◽  
Correct Definition ◽  
Deformation Kinematics ◽  
Definition Of ◽  
Elastic And Plastic Deformation

The plastic part of an elastic-plastic deformation is that remaining when the stress, and hence the elastic strain, is reduced to zero. Elastic deformation is that produced in this purely plastically deformed material by the action of stresses up to yield. The associated exact finite-deformation kinematics shows the almost universal assumption that the total rate of deformation is the sum of elastic and plastic rates to be in error. An incremental elastic-plastic theory is developed using the nonlinear kinematics. The theory is contrasted with that in common use and anomalies in the latter are discussed.

scholarly journals Influence of Different Strain Hardening Models on the Behavior of Materials in the Elastic–Plastic Regime under Cyclic Loading

Materials ◽  
2020 ◽  
Vol 13 (23) ◽  
pp. 5323
Author(s):  
Peter Sivák ◽  
Peter Frankovský ◽  
Ingrid Delyová ◽  
Jozef Bocko ◽  
Ján Kostka ◽  
...  
Keyword(s):  
Plastic Deformation ◽  
Strain Hardening ◽  
Compliant Mechanisms ◽  
Linear Collider ◽  
Cyclic Stress ◽  
Practical Applications ◽  
Elastic Plastic ◽  
Plastic Regime ◽  
Initial Area ◽  
Elastic And Plastic Deformation

In exact analyses of bodies in the elastic–plastic regime, the behavior of the material above critical stress values plays a key role. In addition, under cyclic stress, important phenomena to be taken into account are the various types of hardening and the design of the material or structure. In this process, it is important to define several groups of characteristics. These include, for instance, the initial area of plasticity or load which defines the interface between elastic and plastic deformation area. The characteristics also include the relevant law of plastic deformation which specifies the velocity direction of plastic deformation during plastic deformation. In the hardening condition, it is also important to determine the position, size and shape of the subsequent loading area. The elasto-plastic theory was used for the analysis of special compliant mechanisms that are applied for positioning of extremely precise members of the Compact Linear Collider (CLIC), e.g., cryomagnets, laser equipment, etc. Different types of deformation hardening were used to simulate the behavior of particular structural elements in the elastic–plastic regime. Obtained values of stresses and deformations may be used in further practical applications or as default values in other strain hardening model simulations.

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.

Energy storage and dissipation of elastic-plastic deformation under shock compression: Simulation and Analysis

2021 ◽  
Vol 158 ◽  
pp. 103876
Author(s):  
Qi-lin Xiong ◽  
Zhenhuan Li ◽  
Takahiro Shimada ◽  
Takayuki Kitamura
Keyword(s):  
Plastic Deformation ◽  
Energy Storage ◽  
Shock Compression ◽  
Elastic Plastic

Virtual Material Model of Joint Interfaces Considering Elastic-Plastic Deformation of Asperities

2013 ◽  
Vol 457-458 ◽  
pp. 257-261
Author(s):  
Li Gang Cai ◽  
Teng Yun Xu ◽  
Yong Sheng Zhao
Keyword(s):  
Plastic Deformation ◽  
Elastic Modulus ◽  
Fractal Theory ◽  
Material Model ◽  
Contact Theory ◽  
Hertz Contact ◽  
Calculation Methods ◽  
Elastic Plastic ◽  
Element Simulation ◽  
Simulation Results

A virtual material model of joint interfaces was established based on the Hertz contact theory and fractal theory, this model was improved by considering the influence of the elastic-plastic deformation of asperities and ameliorating the calculation methods of the elastic modulus. The simulation results of elastic-plastic considered and elastic-plastic unconsidered were compared, moreover, the finite element simulation results and experimental results were compared to fully explain the necessity of considering the influence of the elastic-plastic deformation and the the correctness of the method to calculate the elastic modulus. The research suggested that under a same load the elastic modulus of the model considering the influence of the elastic-plastic deformation was slightly larger than the un considering one, which means it could describe the characteristics of joint interfaces more accurately.

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