Finite deformation of a hollow sphere of linear elastic perfectly plastic material

In this technical brief, we compute the J-integral near a crack-tip in an elastic-perfectly-plastic material. Finite deformation is accounted for, and the apparent discrepancies between the prior results of the authors are resolved.

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Plastic Response Estimation in Repeated Elastic Analyses for Strain Hardening Material Model

Journal of Pressure Vessel Technology ◽

10.1115/1.4024448 ◽

2013 ◽

Vol 135 (5) ◽

Author(s):

S. L. Mahmood ◽

R. Adibi-Asl ◽

C. G. Daley

Keyword(s):

Strain Hardening ◽

Strain Energy ◽

Plastic Material ◽

Limit Load ◽

Material Model ◽

Element Analysis ◽

Hardening Material ◽

Linear Elastic ◽

Perfectly Plastic ◽

Elastic Perfectly Plastic

Simplified limit analysis techniques have already been employed for limit load estimation on the basis of linear elastic finite element analysis (FEA) assuming elastic-perfectly-plastic material model. Due to strain hardening, a component or a structure can store supplementary strain energy and hence carries additional load. In this paper, an iterative elastic modulus adjustment scheme is developed in context of strain hardening material model utilizing the “strain energy density” theory. The proposed algorithm is then programmed into repeated elastic FEA and results from the numerical examples are compared with inelastic FEA results.

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Methods for the simulation of the pressure, stress, and temperature distribution in the contact of fractal generated rough surfaces

Proceedings of the Institution of Mechanical Engineers Part J Journal of Engineering Tribology ◽

10.1177/1350650115593962 ◽

2016 ◽

Vol 231 (4) ◽

pp. 489-502 ◽

Cited By ~ 7

Author(s):

Balázs Magyar ◽

Bernd Sauer

Keyword(s):

Surface Roughness ◽

Temperature Distribution ◽

Plastic Material ◽

Rough Surfaces ◽

Three Dimensional ◽

Sliding Contact ◽

Linear Elastic ◽

Perfectly Plastic ◽

Elastic Perfectly Plastic ◽

Pressure Stress

In this paper, the influence of surface roughness on the local tribological load with a dry sliding contact is studied. First, three artificial rough surfaces with similar structure but different asperity heights are generated and projected on a smooth ball. After that, a contact pattern is determined between a rough ball and a smooth surface taking into account the elastic only as well as the linear elastic-perfectly plastic material description. On the basis of the calculated contact pressure distribution, the subsurface stresses and a three-dimensional temperature distribution in the sliding contact are calculated. The solutions show that a low surface roughness not necessarily results in low local tribological load of the surface.

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A FEM analysis of the settlement of a tall building situated on loess subsoil

Open Engineering ◽

10.1515/eng-2020-0060 ◽

2020 ◽

Vol 10 (1) ◽

pp. 519-526

Author(s):

Krzysztof Nepelski

Keyword(s):

Fem Analysis ◽

Actual Process ◽

Linear Elastic ◽

Perfectly Plastic ◽

Modified Cam Clay ◽

Linear Behaviour ◽

Subsequent Calculation ◽

Elastic Perfectly Plastic ◽

Subsoil Model ◽

Storey Building

AbstractIn order to correctly model the behaviour of a building under load, it is necessary to take into account the displacement of the subsoil under the foundations. The subsoil is a material with typically non-linear behaviour. This paper presents an example of the modelling of a tall, 14-storey, building located in Lublin. The building was constructed on loess subsoil, with the use of a base slab. The subsoil lying directly beneath the foundations was described using the Modified Cam-Clay model, while the linear elastic perfectly plastic model with the Coulomb-Mohr failure criterion was used for the deeper subsoil. The parameters of the subsoil model were derived on the basis of the results of CPT soundings and laboratory oedometer tests. In numerical FEM analyses, the floors of the building were added in subsequent calculation steps, simulating the actual process of building construction. The results of the calculations involved the displacements taken in the subsequent calculation steps, which were compared with the displacements of 14 geodetic benchmarks placed in the slab.

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Strength envelope of granular soil stabilized by multi-axial geogrid in large triaxial tests

Canadian Geotechnical Journal ◽

10.1139/cgj-2019-0036 ◽

2020 ◽

Vol 57 (3) ◽

pp. 448-452 ◽

Cited By ~ 1

Author(s):

A.S. Lees ◽

J. Clausen

Keyword(s):

Triaxial Compression ◽

Triaxial Tests ◽

Compression Tests ◽

Failure Envelope ◽

Element Analysis ◽

Linear Elastic ◽

Perfectly Plastic ◽

Elastic Perfectly Plastic ◽

Triaxial Compression Tests ◽

Properties Of Soil

Conventional methods of characterizing the mechanical properties of soil and geogrid separately are not suited to multi-axial stabilizing geogrid that depends critically on the interaction between soil particles and geogrid. This has been overcome by testing the soil and geogrid product together as one composite material in large specimen triaxial compression tests and fitting a nonlinear failure envelope to the peak failure states. As such, the performance of stabilizing, multi-axial geogrid can be characterized in a measurable way. The failure envelope was adopted in a linear elastic – perfectly plastic constitutive model and implemented into finite element analysis, incorporating a linear variation of enhanced strength with distance from the geogrid plane. This was shown to produce reasonably accurate simulations of triaxial compression tests of both stabilized and nonstabilized specimens at all the confining stresses tested with one set of input parameters for the failure envelope and its variation with distance from the geogrid plane.

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On the Conditions to Prevent Plastic Shakedown of Structures: Part I—Theory

Journal of Applied Mechanics ◽

10.1115/1.2900739 ◽

1993 ◽

Vol 60 (1) ◽

pp. 15-19 ◽

Cited By ~ 38

Author(s):

Castrenze Polizzotto

Keyword(s):

Mechanical Load ◽

Plastic Material ◽

Perfectly Plastic ◽

Shakedown Theory ◽

Elastic Perfectly Plastic ◽

Plastic Shakedown ◽

Steady Load

For a structure of elastic perfectly plastic material subjected to a given cyclic (mechanical and/or kinematical) load and to a steady (mechanical) load, the conditions are established in which plastic shakedown cannot occur whatever the steady load, and thus the structure is safe against the alternating plasticity collapse. Static and kinematic theorems, analogous to those of classical shakedown theory, are presented.

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Elasto-Plastic Coupled Temperature-Displacement Finite Element Analysis of Two-Dimensional Rolling-Sliding Contact With a Translating Heat Source

Journal of Tribology ◽

10.1115/1.2920609 ◽

1991 ◽

Vol 113 (1) ◽

pp. 93-101 ◽

Cited By ~ 19

Author(s):

S. M. Kulkarni ◽

C. A. Rubin ◽

G. T. Hahn

Keyword(s):

Finite Element ◽

Half Space ◽

Plastic Material ◽

Element Model ◽

Rolling Contact ◽

Two Dimensional ◽

Element Analysis ◽

Element Mesh ◽

Perfectly Plastic ◽

Elastic Perfectly Plastic

The present paper, describes a transient translating elasto-plastic thermo-mechanical finite element model to study 2-D frictional rolling contact. Frictional two-dimensional contact is simulated by repeatedly translating a non-uniform thermo-mechanical distribution across the surface of an elasto-plastic half space. The half space is represented by a two dimensional finite element mesh with appropriate boundaries. Calculations are for an elastic-perfectly plastic material and the selected thermo-physical properties are assumed to be temperature independent. The paper presents temperature variations, stress and plastic strain distributions and deformations. Residual tensile stresses are observed. The magnitude and depth of these stresses depends on 1) the temperature gradients and 2) the magnitudes of the normal and tangential tractions.

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Analytical Solutions of Crack Tip Plasticity Zone Shape for a Semi-Infinite Crack

Residual Stress, Fitness-For-Service, and Manufacturing Processes ◽

10.1115/pvp2003-2059 ◽

2003 ◽

Author(s):

Peihua Jing ◽

Tariq Khraishi ◽

Larissa Gorbatikh

Keyword(s):

Plane Strain ◽

Plane Stress ◽

Analytical Solutions ◽

Yield Criterion ◽

Plasticity Zone ◽

Linear Elastic ◽

Perfectly Plastic ◽

Classical Plasticity ◽

Elastic Perfectly Plastic ◽

Von Mises

In this work, closed-form analytical solutions for the plasticity zone shape at the lip of a semi-infinite crack are developed. The material is assumed isotropic with a linear elastic-perfectly plastic constitution. The solutions have been developed for the cases of plane stress and plane strain. The three crack modes, mode I, II and III have been considered. Finally, prediction of the plasticity zone extent has been performed for both the Von Mises and Tresca yield criterion. Significant differences have been found between the plane stress and plane strain conditions, as well as between the three crack modes’ solutions. Also, significant differences have been found when compared to classical plasticity zone calculations using the Irwin approach.

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A limit load solution for a thick-walled cylinder with a fully circumferential crack under axial tension

The Journal of Strain Analysis for Engineering Design ◽

10.1243/03093247jsa521 ◽

2009 ◽

Vol 44 (6) ◽

pp. 407-416 ◽

Cited By ~ 3

Author(s):

P J Budden ◽

Y Lei

Keyword(s):

Finite Element ◽

Plastic Material ◽

Yield Criterion ◽

Limit Load ◽

Cylinder Wall ◽

Perfectly Plastic ◽

Elastic Perfectly Plastic ◽

Von Mises ◽

Inside Radius ◽

Walled Cylinder

Limit loads for a thick-walled cylinder with an internal or external fully circumferential surface crack under pure axial load are derived on the basis of the von Mises yield criterion. The solutions reproduce the existing thin-walled solution when the ratio between the cylinder wall thickness and the inside radius tends to zero. The solutions are compared with published finite element limit load results for an elastic–perfectly plastic material. The comparison shows that the theoretical solutions are conservative and very close to the finite element data.

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Effect of Core Plasticity on the Post-Buckling Behavior of Debonded Sandwich Beams

10.1115/imece2000-2025 ◽

2000 ◽

Author(s):

Bhavani V. Sankar ◽

Manickam Narayanan ◽

Abhinav Sharma

Keyword(s):

Plastic Material ◽

Maximum Load ◽

Face Sheet ◽

Compression Tests ◽

Element Analysis ◽

The Core ◽

Perfectly Plastic ◽

The Face ◽

Post Buckling ◽

Elastic Perfectly Plastic

Abstract Nonlinear finite element analysis was used to simulate compression tests on sandwich composites containing debonded face sheets. The core was modeled as an elastic-perfectly-plastic material, and the face-sheet as elastic isotropic. The effects of core plasticity, face-sheet and core thickness, and debond length on the maximum load the beam can carry were studied. The results indicate that the core plasticity is an important factor that determines the maximum load.

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