A variational statement of quasistatic “rigid-deformable” contact problems at large strain involving generalized forces and friction

Morrev, P. G.

doi:10.1007/s00707-011-0516-9

Cited by 8 publications

(4 citation statements)

References 23 publications

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“…Numerical mathematical modeling of the process under consideration (see Figure 1) was carried out using the "Stamp" software package that implements the finite element method [9][10][11]. The algorithm for solving the problem is based on a mathematical model that uses the following variation principle:…”

Section: The Main Partmentioning

confidence: 99%

The Numerical Mathematical Modeling of Gradient Hardening Processes under Conditions of Complex Local Loading of the Center of Deformation

Golenkov

Dorokhov

Radchenko

2020

MSF

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The paper considered the peculiarities of the numerical mathematical modeling of gradient hardening processes under conditions of complex local loading of the center of deformation. The authors described the mathematical model. They presented the results of modeling in the form of a picture of the change in Odkvist parameter with an increase in the number of passes. Data were given on the comparison of the results of experimental work and mathematical modeling.

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Section: The Main Partmentioning

confidence: 99%

The Numerical Mathematical Modeling of Gradient Hardening Processes under Conditions of Complex Local Loading of the Center of Deformation

Golenkov

Dorokhov

Radchenko

2020

MSF

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“…A contact problem statement conforms to Morrev (2007Morrev ( , 2009Morrev ( , and 2011. Only the symmetrical positively defined items (20), (21), (22) of the finite element matrix are evaluated.…”

Section: Numerical Examplesmentioning

confidence: 99%

An axisymmetric nodal averaged finite element

Morrev

Gordon

2018

Lat. Am. j. solids struct.

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A nodal averaging technique which was earlier used for plane strain and three-dimensional problems is extended to include the axisymmetric one. Based on the virtual work principle, an expression for nodal force is found. In turn, a nodal force variation yields a stiffness matrix that proves to be non-symmetrical. But, cumbersome non-symmetrical terms can be rejected without the loss of Newton-Raphson iterations convergence. An approximate formula of volume for a ring of triangular profile is exploited in order to simplify program codes and also to accelerate calculations. The proposed finite element is intended primarily for quasistatic problems and large irreversible strain i.e. for metal forming analysis. As a test problem, deep rolling of a steel rod is studied.

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“…Previously, the works pertinent to the numerical mathematical simulation of CLL deformation following the method shown in Fig. 1 were performed and based on the analysis of the results of these works [15][16][17][18][19][20], a general algorithm of designing such processes for axisymmetric products, which allows realizing the gradient strengthening characterized by the predetermined characteristics, was proposed ( Fig. 2).…”

Section: Investigationmentioning

confidence: 99%

Gradient Strengthening Control Procedure Based on Numerical Simulation of Combined Local Loading Of Deformation Zone

Pilipenko¹,

Radchenko²,

Golenkov³

et al. 2018

Proceedings of the International Symposium “Engineering and Earth Sciences: Applied and Fundamental Research” (ISEES 2018)

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A gradient strengthening control procedure based on the numerical simulation of the combined local loading of the deformation zone in the form of an algorithm of actions pertinent to the prescription of operational parameters is described. A particular case in the form of the completed nomogram of the treatment parameters prescription for obtaining of strengthening predetermined by the depth and value is presented. Keywords-plastic metal working, combined local loading of the deformation zone, numerical simulation, industrial process control, Odkvist parameter, microhardness, strengthening.P

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A variational statement of quasistatic “rigid-deformable” contact problems at large strain involving generalized forces and friction

Cited by 8 publications

References 23 publications

The Numerical Mathematical Modeling of Gradient Hardening Processes under Conditions of Complex Local Loading of the Center of Deformation

The Numerical Mathematical Modeling of Gradient Hardening Processes under Conditions of Complex Local Loading of the Center of Deformation

An axisymmetric nodal averaged finite element

Gradient Strengthening Control Procedure Based on Numerical Simulation of Combined Local Loading Of Deformation Zone

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