Three-dimensional dissipative stress space considering yield behavior in deviatoric plane

2013 ◽  
Vol 56 (8) ◽  
pp. 1999-2009 ◽  
Author(s):  
YangPing Yao ◽  
WenJie Cui ◽  
NaiDong Wang
Keyword(s):  
Three Dimensional ◽  
Stress Space ◽  
Yield Behavior ◽  
Deviatoric Plane

Constitutive Relations of Concrete under Plane Stresses Based on Generalized Octahedral Theory

2011 ◽  
Vol 71-78 ◽  
pp. 342-352
Author(s):  
Jian Hui Yang ◽  
Rong Ling Sun ◽  
Zheng Hao Yang ◽  
Xin Yang Lin ◽  
Hai Cheng Niu
Keyword(s):  
Constitutive Relations ◽  
Three Dimensional ◽  
Strain Analysis ◽  
Stress Space ◽  
Triaxial Stress State ◽  
Characteristic Element ◽  
True Triaxial ◽  
True Triaxial Stress ◽  
Strength Models ◽  
Strain Space

Continuous (or generalized) octahedral element bodies can be obtained by intercepting a cube with three groups of failure (or yield) planes successively under true triaxial stress state, on which the stresses are twin stresses. Among the resulting polyhedral characteristic element bodies, isoclinal octahedron and orthogonal octahedron are of particular importance. Strength models of continuous octahedrons are then derived by stress analysis to arbitrary inclined sections in three dimensional stress space, and strain models by the principle of strain analysis, so the plane constitutive relations of concrete can be understood by plane problems transformed by stress-strain space according to the symmetry of an orthogonal octahedral octahedron where an arbitrary oblique plane is parallel to one of three rectangular coordinate axes.

Polycarbonate as a Model Material for Three-Dimensional Photoplasticity

1973 ◽  
Vol 40 (2) ◽  
pp. 600-605 ◽  
Author(s):  
J. W. Dally ◽  
A. Mulc
Keyword(s):  
Yield Point ◽  
Strain Field ◽  
Permanent Deformation ◽  
Three Dimensional ◽  
Model Material ◽  
Yield Behavior ◽  
Molecular Scale

Polycarbonate is a polymer which exhibits extreme toughness, a pronounced yield behavior, and the ability to flow extensively prior to fracture. These characteristics coupled with its birefringent properties indicate its suitability as a model material for photoelastic analyses. This study treats the photoplastic response of polycarbonate which has been deformed well beyond the yield point and unloaded. The strain field associated with this permanent deformation is related to the birefringence by the conventional strain-optic law. The birefringence is permanently locked in the polycarbonate models on a molecular scale. The model can be sliced to isolate planes of interest and the method can be applied to study permanent strains in plastically deformed three-dimensional bodies.

A Teaching Note on Failure Criteria and Failure Surfaces for Ductile and Brittle Materials

1994 ◽  
Vol 22 (1) ◽  
pp. 1-13 ◽  
Author(s):  
G. S. Schajer
Keyword(s):  
Isotropic Material ◽  
Three Dimensional ◽  
Brittle Materials ◽  
Failure Criteria ◽  
Material Failure ◽  
Stress Space ◽  
Ductile Materials ◽  
Basic Concepts ◽  
Multiaxial Loadings

This note discusses some basic concepts underlying isotropic material failure criteria under multiaxial loadings. It also describes the shapes and features of the associated failure surfaces in three-dimensional stress space. Failure criteria for ductile materials are first reviewed. They are then generalized so that they may also be applied to brittle materials. The relationships among the various failure criteria, the shapes and characteristics of the associated failure surfaces, and the special features of physically acceptable isotropic failure criteria are then considered.

Modeling and behaviours of rockfill materials in three-dimensional stress space

2012 ◽  
Vol 55 (10) ◽  
pp. 2877-2892 ◽  
Author(s):  
Yang Xiao ◽  
HanLong Liu ◽  
JunGao Zhu ◽  
WeiCheng Shi
Keyword(s):  
Three Dimensional ◽  
Stress Space ◽  
Rockfill Materials

Stress–dilatancy behaviors of coarse granular soils in three-dimensional stress space

2015 ◽  
Vol 195 ◽  
pp. 104-110 ◽  
Author(s):  
Yang Xiao ◽  
Hanlong Liu ◽  
Yifei Sun ◽  
Hong Liu ◽  
Yumin Chen
Keyword(s):  
Three Dimensional ◽  
Granular Soils ◽  
Stress Space

Constitutive Model of Strain Softening for Soft Rock

2011 ◽  
Vol 250-253 ◽  
pp. 1932-1935
Author(s):  
Song Li ◽  
Hong Jian Liao ◽  
Hang Zhou Li
Keyword(s):  
Constitutive Model ◽  
Strain Softening ◽  
Three Dimensional ◽  
Soft Rock ◽  
Unified Strength Theory ◽  
Softening Behavior ◽  
Proposed Model ◽  
Deviatoric Plane ◽  
Modified Equation ◽  
Rock Specimens

This paper aims to study the strain softening behavior of soft rock. A modified equation of unified strength theory is proposed that is convenient to be applied in geotechnical engineering where compression is customarily taken as positive. And also the limit line on deviatoric plane of this modified equation is derived and introduced into the three dimensional (3D) elastic viscoplastic constitutive model of Yin and Graham. Parameters of the model are determined from experiments of the diatom soft rock specimens. Numerical simulations are performed to compare the strain softening behavior predicted in this paper and triaxial experimental results. Simulation results show that the proposed model can accurately describe the strain softening of soft rock.

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