In this paper we analyse the spherical deformation model in detail and describe how it may be used to summarize the shape of star-shaped three-dimensional objects with few parameters. View PDF. Save to Library. Create Alert. Share This Paper. Figures and Topics from this paper. Citations Publications citing this paper.
A Study of Elastic Plastic Deformation of Heavily Deformed Spherical Surfaces
Modelling and simulation of multifractal star-shaped particles Alfredo Alegr'ia. Absorption cross-sections of small quasi-spherical black holes: the massless scalar case Tatiana Moskalets , Alexei J.
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- Deformation Regimes for Sphere-Plane Contact: Revisiting Tabor’s Criteria for Differential Hardness.
- Deformation of a sphere;
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Surface shape analysis with an application to brain surface asymmetry in schizophrenia. Christopher J. Brignell , Ian L.
The Relationship between the Deformation of Spherical Indentation and Tensile Deformation
Santhanam , Felix G. Hamza-Lup , Jannick P. The paper is devoted to the definition of the deformation during indentation of the sphere and its relationship with the tensile deformation. Proposed by different authors methods of determining the deformation of the contact are considered.
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The results of their researches may vary significantly. The purpose of this research is to determine the relationship between tension deformation and sphere indentation deformation with taking into account the last achievements in the field of finite-element modeling of elastic-plastic sphere indentation.
It is considered two methods of determining of deformation. One uses the equation proposed by S. The second method use the energy concept of hardness. It is based on the assumption that within the range of uniform deformation during uniaxial tension and during sphere indentation, the same energy is consumed to the plastic displacement of the part of the material volume out of limits of initial volume.
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They have close results. The corresponding graphic relations are shown.
Ogar and D. Request Permissions. Ogar, D. Gorokhov, Review of methods for determining the elastic-plastic strain in the sphere indentation, Syst. Ahn, D. Kwon, Derivation of plastic stress-strain relationship from ball indentations: Examination of strain definition and pileup effect, J. Markovets, Determination of mechanical properties of metals hardness, Mashinostroenie, Moscow, , p.
Shabanov, Rapid diagnosis of the technical state of the metal structural elements of NPP using kinetic indentation method, Tech. Bulychev, Transition from indentation diagrams to stress-strain diagrams taking into consideration hardened surface layer, Deform. Bulychev, Hardness and hysteresis at the yield strength, Deform. Kovalev, Evaluation of the bearing capacity of the surface layer of detales of a spherical indenter indentation, Tech. Lee, J. Lee, G. Pharr, A numerical approach to spherical indentation techniques for materical property evaluation, J.
Hernot, O. Surface shape analysis with an application to brain surface asymmetry in schizophrenia. Christopher J. Brignell , Ian L.
The large deformation of a single micro-elastomeric sphere - IOPscience
Santhanam , Felix G. Hamza-Lup , Jannick P. References Publications referenced by this paper. Mitochondria, membranes and amoebae: 1, 2 and 3 dimensional shape models Michael I. Miller , Sarang C. Joshi , David R.
Maffitt , James G. McNally , Ulf Grenander. Kent , Ian L. Using circulant symmetry to model featureless objects John T. Dryden , Catherine R.