On the Determination of Effective Elastic-Plastic Properties for the Equivalent Solid Plate Analysis of Tube Sheets

1974 ◽  
Vol 96 (3) ◽  
pp. 220-227 ◽  
Author(s):  
T. Slot ◽  
T. R. Branca
Keyword(s):  
Numerical Solutions ◽  
Solid Material ◽  
The Finite Element Method ◽  
Plastic Properties ◽  
Perforated Plates ◽  
Elastic Plastic ◽  
Solid Plate ◽  
Plate Analysis ◽  
Metal Properties

Practical procedures are described for the evaluation of effective material properties for use in elastic-plastic analyses of perforated plates involving the equivalent solid plate approach. The finite-element method is used to generate numerical solutions that permit these properties to be determined for a given penetration pattern and given base metal properties. An example is treated for the triangular penetration pattern. The results are illustrative of the anisotropy of the equivalent solid material.

An Elastic-Plastic Stress Analysis of the Specimen Used in the Torsional Kolsky Bar

1980 ◽  
Vol 47 (2) ◽  
pp. 278-282 ◽  
Author(s):  
Eric K. C. Leung
Keyword(s):  
Numerical Solutions ◽  
Elastic Stress ◽  
Dynamic Testing ◽  
Kolsky Bar ◽  
The Finite Element Method ◽  
Governing Equations ◽  
Elastic Plastic ◽  
Applied Torque ◽  
Torsional Kolsky Bar ◽  
Tubular Specimens

This paper examines the stress concentration, the yielding process, and the growth of the elastic-plastic boundary as a function of applied torque in tubular specimens with a short thin-walled section. Although the analysis is entirely quasi-static, it can, under the proper circumstances, be applied to the deformation of short specimens as generally used for dynamic testing in the torsional Kolsky bar. In the analysis, the governing equations for both elastic and elastic-plastic analyses are presented, the latter taking into account work hardening. Numerical solutions of these equations employ the finite-element method. The elastic stress distribution in the specimen and the elastic-plastic enclaves are presented for various loading stages.

Plastic Strain Concentrations in Perforated Structures Subjected to Alternating Loads

1982 ◽  
Vol 104 (3) ◽  
pp. 161-167 ◽  
Author(s):  
R. D. Kichko ◽  
M. Badlani ◽  
F. Spaniel ◽  
W. J. O’Donnell ◽  
J. S. Porowski
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Plastic Strain ◽  
Shear Loading ◽  
Monotonic Loading ◽  
The Finite Element Method ◽  
Perforated Plates ◽  
Strain Concentration ◽  
Elastic Plastic ◽  
Concentration Factors

Perforated plates with a uniform triangular penetration pattern subjected to alternating loads are analyzed. The cases of equibiaxial and shear loading are considered and the finite element method is used to obtain elastic-plastic solutions for various ligament efficiencies. The plastic strain concentrations for alternating loads are compared to those for monotonic loading. Useful methods of obtaining plastic strain concentration factors for alternating loads using the results for monotonic loading are given.

Small-span bending test for determination of elastic-plastic properties of ultrathin Pt wires

2010 ◽  
Vol 103 (2) ◽  
pp. 285-291 ◽  
Author(s):  
Hironori Tohmyoh ◽  
M. A. Salam Akanda ◽  
Masumi Saka
Keyword(s):  
Bending Test ◽  
Plastic Properties ◽  
Elastic Plastic

Elasto-Plastic Analysis of Perforated Plates Containing Triangular Penetration Patterns of 10 Percent Ligament Efficiency

1979 ◽  
Vol 101 (3) ◽  
pp. 210-215 ◽  
Author(s):  
D. P. Jones ◽  
J. L. Gordon
Keyword(s):  
Work Hardening ◽  
Pure Shear ◽  
Perforated Plate ◽  
Stress Distributions ◽  
The Finite Element Method ◽  
Hardening Material ◽  
Perforated Plates ◽  
Solid Plate ◽  
Deformation Plasticity ◽  
Concentration Factors

The finite element method is utilized to obtain the elasto-plastic stress and strain fields in a perforated plate made of a work-hardening material. The perforated plate contains penetrations arranged in a triangular pattern with a ligament efficiency of 10 percent and is considered to be in a state of plane stress. Stress distributions as well as strain concentration factors are presented for the two orthogonal uniaxial and the pure shear load cases. Effective elasto-plastic equivalent solid plate properties are presented in terms of Hill’s anisotropic deformation plasticity theory. The localized stress and plastic strain distributions are discussed in terms of the work-hardening characteristics of the material. Conclusions are drawn relevant to the plastic design and analysis of perforated plates.

scholarly journals Determination of Transverse Shear Stiffness of Sandwich Panels with a Corrugated Core by Numerical Homogenization

Materials ◽  
2021 ◽  
Vol 14 (8) ◽  
pp. 1976
Author(s):  
Tomasz Garbowski ◽  
Tomasz Gajewski
Keyword(s):  
Transverse Shear ◽  
Shear Stiffness ◽  
The Finite Element Method ◽  
Homogenization Procedure ◽  
Plate Structures ◽  
Corrugated Board ◽  
Energy Equivalence ◽  
The Stability ◽  
Global Stiffness Matrix

Knowing the material properties of individual layers of the corrugated plate structures and the geometry of its cross-section, the effective material parameters of the equivalent plate can be calculated. This can be problematic, especially if the transverse shear stiffness is also necessary for the correct description of the equivalent plate performance. In this work, the method proposed by Biancolini is extended to include the possibility of determining, apart from the tensile and flexural stiffnesses, also the transverse shear stiffness of the homogenized corrugated board. The method is based on the strain energy equivalence between the full numerical 3D model of the corrugated board and its Reissner-Mindlin flat plate representation. Shell finite elements were used in this study to accurately reflect the geometry of the corrugated board. In the method presented here, the finite element method is only used to compose the initial global stiffness matrix, which is then condensed and directly used in the homogenization procedure. The stability of the proposed method was tested for different variants of the selected representative volume elements. The obtained results are consistent with other technique already presented in the literature.

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