scholarly journals Granular suspension avalanches. II. Plastic regime

2013 ◽  
Vol 25 (3) ◽  
pp. 033302 ◽  
Author(s):  
Nicolas Andreini ◽  
Christophe Ancey ◽  
Gaël Epely-Chauvin
Keyword(s):  
Plastic Regime

Time-resolved shear transformations in the transient plastic regime of sheared amorphous silicon

2020 ◽  
Vol 102 (5) ◽  
Author(s):  
Tristan Albaret ◽  
Francesca Boioli ◽  
David Rodney
Keyword(s):  
Amorphous Silicon ◽  
Time Resolved ◽  
Plastic Regime

Stress-strain curves of aluminum nanowires: Fluctuations in the plastic regime and absence of hardening

2008 ◽  
Vol 78 (15) ◽  
Author(s):  
L. Pastor-Abia ◽  
M. J. Caturla ◽  
E. SanFabián ◽  
G. Chiappe ◽  
E. Louis
Keyword(s):  
Stress Strain ◽  
Plastic Regime

An Analytical Elastic-Plastic Contact Model

2011 ◽  
Author(s):  
M. R. Brake
Keyword(s):  
Yield Criterion ◽  
Plastic Behavior ◽  
Elastic Plastic ◽  
Elastic Regime ◽  
Plastic Regime ◽  
Elastic Process ◽  
New Formulation ◽  
Von Mises ◽  
The Impact ◽  
Force Displacement

This paper presents a new formulation for elastic-plastic contact in the normal direction between two round surfaces that is solely based on material properties and contact geometries. The problem is formulated as three separate domains: the elastic regime, mixed elastic-plastic behavior, and unconstrained (fully plastic) flow. Solutions for the force-displacement relationship in the elastic regime follow from Hertz’s classical solution. In the fully plastic regime, two assumptions are made: that there is a uniform pressure distribution and that there is conservation of volume. The force-displacement relationship in the intermediate, mixed elastic-plastic regime is approximated by enforcing continuity between the elastic and fully plastic regimes. Transitions between the three regimes are determined based on empirical quantities: the von Mises yield criterion is used to determine the initiation of mixed elastic-plastic deformation, and Brinell’s hardness for the onset of unconstrained flow. Unloading from each of these three regimes is modeled as an elastic process with different radii of curvature based on the regime in which the maximum force occurred. Simulation results explore the relationship between the impact velocity and coefficient of restitution. Further comparisons are made between the model, experimental results found in the literature, and other existing elastic-plastic models.

An experimental study on transverse vibration of tapered bars in elasto-plastic regime

2009 ◽  
Vol 324 (1-2) ◽  
pp. 74-90 ◽  
Author(s):  
Debabrata Das ◽  
Prasanta Sahoo ◽  
Kashinath Saha
Keyword(s):  
Experimental Study ◽  
Transverse Vibration ◽  
Plastic Regime

Contact Law and Coefficient of Restitution in Elastoplastic Spheres

2015 ◽  
Vol 82 (12) ◽  
Author(s):  
Daolin Ma ◽  
Caishan Liu
Keyword(s):  
Analytical Approximation ◽  
Coefficient Of Restitution ◽  
Elastic Plastic ◽  
Plastic Regime ◽  
Material Hardness ◽  
Spherical Expansion ◽  
Transition Points ◽  
Complete Contact ◽  
C1 Continuity ◽  
Expansion Model

A complete contact cycle of an elastoplastic sphere consists of loading and unloading phases. The loading phase may fall into three sequential regimes: elastic, mixed elastic–plastic, and fully plastic. In this paper, we distinguish the transition points among the three regimes via the material hardness and a dimensionless geometric parameter corresponding to the onset of the fully plastic regime. Based on Johnson’s simplified spherical expansion model, together with the well-supported force–indentation relationships in the elastic and fully plastic regimes, we build an analytical approximation for the mixed elastic–plastic regime by enforcing the C1 continuity of a loading force–indentation curve. Unloading responses of the elastoplastic sphere are characterized by an elastic force–indentation relation, which has a Hertzian-type form but takes into account the effects of the strain hardening that occurs in the mixed elastic–plastic regime. We validate the model by comparing with existing quasi-static and impact experiments and show that the model can precisely capture the force–indentation responses. Further validation is performed by employing the proposed compliance model to investigate the coefficient of restitution (COR). We achieve agreement between our numerical results and the experimental data reported in other studies. Particularly, we find that the COR is inversely proportional to the impacting velocity with an exponent equal to 1/6, instead of 1/4 reported by many other models.

Elastic–Plastic Response of Clamped Square Plates Subjected to Repeated Quasi-Static Uniform Pressure

2018 ◽  
Vol 10 (06) ◽  
pp. 1850067 ◽  
Author(s):  
Shiyun Shi ◽  
Ling Zhu ◽  
Tongxi Yu
Keyword(s):  
Elastic Strain ◽  
Plastic Material ◽  
Elastic Strain Energy ◽  
Uniform Pressure ◽  
Elastic Plastic ◽  
Whole Process ◽  
Perfectly Plastic ◽  
Plastic Regime ◽  
Loading And Unloading ◽  
Elastic Perfectly Plastic

In this paper, an elastic–plastic analytical method is proposed to predict the cyclic deformation of the fully clamped square plates made of elastic–perfectly plastic material under repeated quasi-static uniform pressure. The whole process can be divided into the loading and unloading phases. The loading phase is formulated as three separate regimes: the elastic regime, the mixed elastic–plastic regime and the fully plastic regime. Unloading from a status in each phase is modeled as an elastic process. The total and elastic strain energies are characterized by the loading and unloading paths together with the displacement profiles, respectively. It is theoretically revealed that the elastic strain energy and the structural stiffness of the plate increase with the increasing transverse deflection. In addition, the effect of material elasticity is highlighted in the scenario of repeated loadings. The theoretical results are validated against the numerical simulations conducted by the commercial software ABAQUS. It is shown that the proposed elastic–plastic theoretical model has reasonable accuracy and can be employed to predict pressure–deflection relationship for this class of problems.

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