Large Elasto-Plastic Deformations of Work-Hardening Metal Alloys

1984 ◽  
Vol 8 (2) ◽  
pp. 77-83
Author(s):  
G.Z. Voyiadjis ◽  
S. Navaee
Keyword(s):  
Thick Plate ◽  
Large Deformations ◽  
Metal Alloys ◽  
The Finite Element Method ◽  
Plastic Deformations ◽  
Numerical Examples ◽  
Concentration Problem ◽  
Moderately Thick Plate ◽  
Aluminum Alloy 2024 ◽  
Spatial Formulation

The work outlined in this research demonstrates the applicability and effectiveness of the elasto-plastic model presented by the First author in [1] in solving complex (i.e., any shape and any deformation) finite deformation problems. The use of the Lagrangian formulation in this work eliminates the controversy regarding the choice of the appropriate co-rotational stress rate, and provides a more convenient theory than the more common spatial formulation. The aluminum alloy 2024 is used in this work as it closely displays the properties outlined by the proposed constitutive equations [1]. The problem of analysis of displacements, stresses, and strains in elements made of this material subject to arbitrarily large deformations under the conditions of plane strain or plane stress is formulated in terms of the finite element method. Numerical examples include the bending of a moderately thick plate and the stress concentration problem of a plate with a hole subjected to an uniform uniaxial loading. Experimental verification is provided for the bending of the moderately thick plate.

A viscoelastic thin rod model for large deformations: Numerical examples

2011 ◽  
Vol 16 (8) ◽  
pp. 887-896 ◽  
Author(s):  
Joelle Beyrouthy ◽  
Patrizio Neff
Keyword(s):  
Finite Strain ◽  
Large Deformations ◽  
Splitting Method ◽  
Evolution Problem ◽  
The Finite Element Method ◽  
Numerical Examples ◽  
Numerical Resolution ◽  
Incremental Formulation ◽  
Lagrange Elements ◽  
Strain Model

We present a Cosserat-based 3D–1D dimensional reduction for a viscoelastic finite strain model. The numerical resolution of the reduced coupled minimization/evolution problem is based on a splitting method. We start by approximating the minimization problem using the finite element method with P1 Lagrange elements. The solution of this problem is used in the time-incremental formulation of the evolution problem.

Influence of shape of impactormade from high-strength steel on its fracture at high deformation rates

2021 ◽  
pp. 44-51
Author(s):  
P.A. Radchenko ◽  
◽  
S.P. Batuev ◽  
A.V. Radchenko ◽  
◽  
...  
Keyword(s):  
Finite Element Method ◽  
Fracture Criterion ◽  
Three Dimensional ◽  
High Strength ◽  
Head Part ◽  
The Finite Element Method ◽  
Plastic Deformations ◽  
High Deformation ◽  
Limit Value ◽  
Interaction Velocity

The fracture of high-strength impactor in interaction with a steel barrier is investigated. Three typesof head parts of the impactor are considered: flat, hemispherical and ogival. Normal and oblique interactions with velocities of 700 and 1000 m/s are investigated. Modeling is carried out by the finite element method in a three-dimensional formulation using the author's software EFES 2.0.The limit value of intensity of plastic deformations is used as a fracture criterion. The influence of the striker head part shape, interaction velocity, interaction angle on the fracture of the impactor and the barrier has been investigated. Conditions under which the striker ricochets were defined.

scholarly journals Large deformations of a cylindrical tube with prestressed coatings

2019 ◽  
Vol 484 (5) ◽  
pp. 547-549
Author(s):  
Yu. N. Kulchin ◽  
V. E. Ragozina ◽  
O. V. Dudko
Keyword(s):  
Shock Waves ◽  
Large Deformations ◽  
Cylindrical Tube ◽  
Plastic Strains ◽  
Rotation Tensor ◽  
Plastic Deformations ◽  
Incompressible Materials ◽  
Isotropic Media ◽  
Elastic Loading ◽  
Elastic Shock

General theoretical relations for calculating the redistribution of the preliminary irreversible strain field during unloading or elastic loading of a medium are obtained for the nonlinear multiplicative gradient model of large elastic-plastic deformations. It is shown that the dynamics of elastic shock waves does not depend directly on the previously accumulated plastic strains. A formula for the plastic-strain rotation tensor is obtained. It is shown that rigid rotation of plastic strains under elastic shock waves can be jump-like. All results are obtained for the general case of model relations of isotropic media and are valid for both compressible and incompressible materials.

scholarly journals Three-dimensional Stress Analysis of a Rectangular Cantilever Plate Using an Extended Love's Moderately Thick Plate Theory

1982 ◽  
Vol 25 (203) ◽  
pp. 720-727
Author(s):  
Michiaki KOBAYASHI ◽  
Toru NAGASAWA ◽  
Hiromasa ISHIKAWA ◽  
Kin-ichi HATA
Keyword(s):  
Stress Analysis ◽  
Thick Plate ◽  
Plate Theory ◽  
Three Dimensional ◽  
Cantilever Plate ◽  
Moderately Thick Plate

scholarly journals Run-Out Simulation of a Landslide Triggered by an Increase in the Groundwater Level Using the Material Point Method

Water ◽  
2020 ◽  
Vol 12 (10) ◽  
pp. 2817
Author(s):  
Antonello Troncone ◽  
Luigi Pugliese ◽  
Enrico Conte
Keyword(s):  
Groundwater Level ◽  
Large Deformations ◽  
Material Point Method ◽  
Material Point ◽  
Point Method ◽  
Deformation Mechanisms ◽  
The Finite Element Method ◽  
Numerical Techniques ◽  
Rainy Period ◽  
Small Deformations

Deformation mechanisms of the slopes are commonly schematized in four different stages: pre-failure, failure, post-failure and eventual reactivation. Traditional numerical methods, such as the finite element method and the finite difference method, are commonly employed to analyse the slope response in the pre-failure and failure stages under the assumption of small deformations. On the other hand, these methods are generally unsuitable for simulating the post-failure behaviour due to the occurrence of large deformations that often characterize this stage. The material point method (MPM) is one of the available numerical techniques capable of overcoming this limitation. In this paper, MPM is employed to analyse the post-failure stage of a landslide that occurred at Cook Lake (WY, USA) in 1997, after a long rainy period. Accuracy of the method is assessed by comparing the final geometry of the displaced material detected just after the event, to that provided by the numerical simulation. A satisfactory agreement is obtained between prediction and observation when an increase in the groundwater level due to rainfall is accounted for in the analysis.

Simulation of the Impact Behaviour of Diffusion-Bonded and Adhered Perforated Hollow Sphere Structures (PHSS)

2009 ◽  
Vol 294 ◽  
pp. 27-38 ◽  
Author(s):  
Fabian Ferrano ◽  
Marco Speich ◽  
Wolfgang Rimkus ◽  
Markus Merkel ◽  
Andreas Öchsner
Keyword(s):  
Mechanical Properties ◽  
Finite Element Method ◽  
Finite Element ◽  
Mechanical Behaviour ◽  
Hollow Sphere ◽  
Large Deformations ◽  
The Finite Element Method ◽  
Impact Behaviour ◽  
New Type ◽  
The Impact

This paper investigates the mechanical properties of a new type of hollow sphere structure. For this new type, the sphere shell is perforated by several holes in order to open up the inner sphere volume and surface. The mechanical behaviour of perforated sphere structures under large deformations and strains in a primitive cubic arrangement is numerically evaluated by using the finite element method for different hole diameters and different joining techniques.

scholarly journals Two Algorithms for a Class of Elliptic Problems in Shape Optimization

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Li Tian ◽  
Dai Xiaoxia ◽  
Zhang Chengwei
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Optimal Design ◽  
Shape Optimization ◽  
Variational Problem ◽  
Optimization Problem ◽  
Elliptic Boundary ◽  
The Finite Element Method ◽  
Numerical Examples ◽  
Elliptic Boundary Value

We propose two algorithms for elliptic boundary value problems in shape optimization. With the finite element method, the optimization problem is replaced by a discrete variational problem. We give rules and use them to decide which elements are to be reserved. Those rules are determined by the optimization; as a result, we get the optimal design in shape. Numerical examples are provided to show the effectiveness of our algorithms.

Failure behavior of hierarchical corrugated sandwich structures with second-order core based on Mindlin plate theory

2017 ◽  
Vol 21 (2) ◽  
pp. 552-579 ◽  
Author(s):  
Gang Li ◽  
Zhaokai Li ◽  
Peng Hao ◽  
Yutian Wang ◽  
Yaochu Fang
Keyword(s):  
Thick Plate ◽  
Failure Modes ◽  
Sandwich Structures ◽  
Plate Theory ◽  
Second Order ◽  
Mindlin Plate ◽  
Failure Behavior ◽  
Plate Model ◽  
Moderately Thick Plate ◽  
Mindlin Plate Theory

For hierarchical corrugated sandwich structures with second-order core, the prediction error of failure behavior by existing methods becomes unacceptable with the increase of structure thickness. In this study, a novel analytical model called moderately thick plate model is developed based on Mindlin plate theory, which can be used to analyze the failure behavior of hierarchical corrugated structures with second-order core under compression or shear loads. Then, the analytical expressions of nominal stress for six competing failure modes are derived based on the moderately thick plate model. The results of six different unit structures based on the moderately thick plate model agree quite well the ones by finite element methods. Furthermore, the influence of different structure thicknesses is investigated to validate the applicability of the moderately thick plate model. According to the comparative results with the thin plate model, the proposed moderately thick plate model has a better precision with the increase of the ratio of thickness to width for failure components.

FINITE ELEMENT CALCULATION OF THE RIVET JOINT OBTAINED BY NITROGEN COOLING OF THE RIVET

2020 ◽  
Vol 4 (1) ◽  
pp. 134-138
Author(s):  
V.V. LEONTYEV
Keyword(s):  
Finite Element ◽  
Room Temperature ◽  
Three Dimensional ◽  
Comsol Multiphysics ◽  
Element Calculation ◽  
The Finite Element Method ◽  
Plastic Deformations ◽  
Second Stage ◽  
Stress Problem ◽  
Dimensional Statement

A method for creating a rivet connection using nitrogen cooling of rivets is considered. A rivet, cooled to a temperature of -196 C, is placed in a cylindrical hole in the plates at room temperature. When heated to room temperature, the rivet undergoes a thermal all-round expansion and creates a tight fit. The finite element method solves the contact termal-stress problem for such a connection in the COMSOL MULTIPHYSICS and APM Winmachine software complexes. The problem is solved in a three-dimensional statement. The first stage is the temperature distribution in the rivet-plate system. The resulting temperature field is used as a parameter at the second stage when solving the stress problem. The fields of residual stresses in the plate and rivet are obtained. It is shown that plastic deformations occur in a small part of one of the connected plates. Recommendations for calculating the strength of such compounds are given.

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