Single hardening constitutive model for frictional materials. I. Plastic potential function

1989 ◽  
Vol 26 (3-4) ◽  
pp. A137
Keyword(s):  
Constitutive Model ◽  
Potential Function ◽  
Plastic Potential ◽  
Frictional Materials ◽  
Plastic Potential Function

Discussions on plastic potential function and constitutive equations of superplastic alloy

2000 ◽  
Vol 2000.13 (0) ◽  
pp. 805-806
Author(s):  
Akira KURAKAKE ◽  
Masataka TOKUDA ◽  
Tadashi INABA ◽  
Hiroyuki OHIGASHI ◽  
Yang CHEN
Keyword(s):  
Potential Function ◽  
Constitutive Equations ◽  
Superplastic Alloy ◽  
Plastic Potential ◽  
Plastic Potential Function

An Elastoplastic Model for Coarse Grained Soils Obeying Lade's Dilatancy Rule

2013 ◽  
Vol 850-851 ◽  
pp. 381-386
Author(s):  
Jin Wang ◽  
Jiao Na Li ◽  
Sheng Zhu
Keyword(s):  
Potential Function ◽  
Yield Surface ◽  
Large Scale ◽  
Coarse Grained ◽  
Triaxial Tests ◽  
Surface Model ◽  
Test Results ◽  
Elastoplastic Model ◽  
Plastic Potential ◽  
Plastic Potential Function

This paper discussed the mechanism of dilatancy in coarse grained soils. Large-scale triaxial tests were also conducted to study the dilatancy law of coarse grained soils. Based on the results of the previous studies, it is found that plastic potential function proposed by Lade can fit the test results well. Lades dilatancy rule was then applied to a practical two-yield-surface model. Elastoplastic formula of the two-yield-surface model was also deduced in detail. The new model was verified with several groups of different materials. Results showed that this model could predict the behaviors of coarse grained soils well.

scholarly journals Theoretical FLD Prediction Based on M-K Model using Gurson's Plastic Potential Function for Steel Sheets

2017 ◽  
Vol 183 ◽  
pp. 119-124 ◽  
Author(s):  
Mir Emad Hosseini ◽  
Seyed Jamal Hosseinipour ◽  
Mohammad Bakhshi-Jooybari
Keyword(s):  
Potential Function ◽  
Steel Sheets ◽  
Plastic Potential ◽  
Plastic Potential Function

scholarly journals Review of Proposed Stress-dilatancy Relationships and Plastic Potential Functions for Uncemented and Cemented Sands

2019 ◽  
Vol 1 (2) ◽  
Author(s):  
Mojtaba Rahimi
Keyword(s):  
Potential Function ◽  
Volumetric Strain ◽  
Constitutive Modelling ◽  
Strain Increment ◽  
Flow Rule ◽  
Cemented Sand ◽  
Plastic Potential ◽  
Cemented Sands ◽  
Elastoplastic Constitutive Model ◽  
Plastic Potential Function

Stress-dilatancy relationship or plastic potential function are crucial components of every elastoplastic constitutive model developed for sand or cemented sand. This is because the associated flow rule usually does not produce acceptable outcomes for sand or cemented sand. Many formulas have been introduced based on the experimental observations in conventional and advanced plasticity models in order to capture ratio of plastic volumetric strain increment to plastic deviatoric strain increment (i.e. dilatancy rate). Lack of an article that gathers these formulas is clear in the literature. Thus, this paper is an attempt to summarize plastic potentials and specially stress-dilatancy relations so far proposed for constitutive modelling of cohesionless and cemented sands. Stress-dilatancy relation is usually not the same under compression and extension conditions. Furthermore, it may also be different under loading and unloading conditions. Therefore, the focus in this paper mainly places on the proposed stress-dilatancy relations for compressive monotonic loading. Moreover because plastic potential function can be calculated by integration of stress-dilatancy relationship, more weight is allocated to stress-dilatancy relationship in this research.

scholarly journals Mechanical properties and stress–dilatancy relationships of unsaturated soil under various cyclic loading conditions

2019 ◽  
Vol 15 (7) ◽  
pp. 1799-1813
Author(s):  
Win Tun Tun ◽  
Tomotaka Sato ◽  
Hirotaka Saito ◽  
Yuji Kohgo
Keyword(s):  
Mechanical Properties ◽  
Cyclic Loading ◽  
Potential Function ◽  
Unsaturated Soils ◽  
Triaxial Compression ◽  
Saturated Soils ◽  
Loading Conditions ◽  
Compression Tests ◽  
Plastic Potential ◽  
Plastic Potential Function

AbstractMost studies investigating the effect of cyclic loading on soil properties have been conducted for saturated soils. Embankments such as fill dams, roads and railways are usually constructed by unsaturated geo-materials and retained under unsaturated conditions during their in-service periods. Then when the stabilities of the embankments against dynamic motions such as earthquakes and traffic loads are evaluated, it is necessary to account for the cyclic properties of unsaturated soils. However, there are few studies investigating mechanical properties of unsaturated soils under cyclic loadings. There are two objectives in this paper. One objective is to investigate cyclic properties of an unsaturated silt under various cyclic loading conditions, while the other is to investigate the stress–dilatancy relationships; the relation of plastic strain increment ratio,  − dεvp/dγp, versus stress ratio, q/p′; and to derive the plastic potential function of the unsaturated silt. Cyclic triaxial compression tests under various loading conditions were performed using the unsaturated silt. The material used is an artificial silty soil named DL clay. It was found from the series of the tests that the stiffness of the soil increased with an increase in suction and the number of cyclic loadings. The total volume reductions in the specimens decreased with an increase in suction. When the numbers of cyclic loadings and suction increased, the dilation also increased. Each unique stress–dilatancy relationship could be found in both loading and unloading processes. The relationships were similar to those of saturated soils under cyclic loadings. A unique plastic potential function could also be derived from the stress–dilatancy relationships.

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