A stochastic damage model for the rupture prediction of a multi-phase solid

1992 ◽  
Vol 55 (4) ◽  
pp. 321-340 ◽  
Author(s):  
Yuan Jie Lua ◽  
Wing Kam Liu ◽  
Ted Belytschko
Keyword(s):  
Damage Model ◽  
Multi Phase ◽  
Stochastic Damage

A stochastic damage model for the rupture prediction of a multi-phase solid

1992 ◽  
Vol 55 (4) ◽  
pp. 341-361 ◽  
Author(s):  
Yuan Jie Lua ◽  
Wing Kam Liu ◽  
Ted Belytschko
Keyword(s):  
Damage Model ◽  
Multi Phase ◽  
Stochastic Damage

Stochastic damage model for bond stress-slip relationship of reinforcing bar embedded in concrete

2019 ◽  
Vol 194 ◽  
pp. 11-25 ◽  
Author(s):  
Le Huang ◽  
Hailong Ye ◽  
Shaohua Chu ◽  
Lihua Xu ◽  
Yin Chi
Keyword(s):  
Damage Model ◽  
Bond Stress ◽  
Reinforcing Bar ◽  
Relationship Of ◽  
Stochastic Damage

A stochastic damage model for evaluating the internal deterioration of concrete due to freeze–thaw action

2013 ◽  
Vol 47 (6) ◽  
pp. 1025-1039 ◽  
Author(s):  
An Duan ◽  
Ye Tian ◽  
Jian-Guo Dai ◽  
Wei-Liang Jin
Keyword(s):  
Damage Model ◽  
Freeze Thaw ◽  
Stochastic Damage

STOCHASTIC VISCOUS-DAMAGE CONSTITUTIVE MODEL FOR CONCRETE

2013 ◽  
Vol 07 (03) ◽  
pp. 1350027
Author(s):  
JIE LI ◽  
QIAOPING HUANG
Keyword(s):  
Damage Model ◽  
Damage Mechanism ◽  
Failure Behavior ◽  
Strain Rates ◽  
Rate Dependency ◽  
Rate Dependent ◽  
Proposed Model ◽  
Model Predictions ◽  
Damage Constitutive Model ◽  
Stochastic Damage

A new rate-dependent stochastic damage model for the dynamic modeling of concrete is presented in the paper. This model is formulated on the basis of the stochastic damage model, from which, the static stochastic evolution of damage is strictly derived. Then, rate dependency of concrete is included by means of viscous-damage mechanism. The model predictions are tested against experimental results on concrete specimens that cover different strain rates. The results demonstrate the proposed model may predict dynamic failure behavior of concrete quite well.

scholarly journals Physical Mechanism of Concrete Damage under Compression

Materials ◽  
2019 ◽  
Vol 12 (20) ◽  
pp. 3295 ◽  
Author(s):  
Hankun Liu ◽  
Xiaodan Ren ◽  
Shixue Liang ◽  
Jie Li
Keyword(s):  
Physical Mechanism ◽  
Damage Model ◽  
Physical Reality ◽  
Force Chain ◽  
Constraint Factor ◽  
Random Field Theory ◽  
Chain System ◽  
Random Failure ◽  
Concrete Damage ◽  
Stochastic Damage

Although considerable effort has been taken regarding concrete damage, the physical mechanism of concrete damage under compression remains unknown. This paper presents, for the first time, the physical reality of the damage of concrete under compression in the view of statistical and probabilistic information (SPI) at the mesoscale. To investigate the mesoscale compressive fracture, the confined force chain buckling model is proposed; using which the mesoscale parameters concerned could be directly from nanoindentation by random field theory. Then, the mesoscale parameters could also be identified from macro-testing using the stochastic damage model. In addition, the link between these two mesoscale parameters could be established by the relative entropy. A good agreement between them from nano- and macro- testing when the constraint factor approaches around 33, indicates that the mesoscale parameters in the stochastic damage model could be verified through the present research. Our results suggest that concrete damage is strongly dependent on the mesoscale random failure, where meso-randomness originates from intrinsic meso-inhomogeneity and meso-fracture arises physically from the buckling of the confined force chain system. The mesoscale random buckling of the confined force chain system above tends to constitute the physical mechanism of concrete damage under compression.

Stochastic Damage Constitutive Model for Concrete Subjected to Uniaxial Tension Stress

2009 ◽  
Vol 417-418 ◽  
pp. 921-924
Author(s):  
Ming Xie ◽  
Shan Suo Zheng ◽  
Bin Wang ◽  
Lei Li ◽  
Wei Wang
Keyword(s):  
Constitutive Model ◽  
Uniaxial Tension ◽  
Experimental Situation ◽  
Failure Process ◽  
Damage Model ◽  
Tension Stress ◽  
Calculation Results ◽  
Concrete Damage ◽  
Damage Constitutive Model ◽  
Stochastic Damage

A stochastic damage constitutive model is proposed based on Kelvin spring-damper model and Li Jie spring stochastic damage model. The model is made up by microscopic spring-slipper element. The slipper, parallel connected with spring, is introduced to consider the plasticity effect of concrete. Damage failure process of concrete subjected uniaxial tension is divided into spring broken state and slipper broken state to describe the elastic stage and plastic stage of damage respectively. In the light of energy conservation during the process of damage failure, stochastic damage constitutive equation of concrete material subjected to uniaxial tension stress is derived. Comparisons between test results and theoretical calculation results verify that the established constitutive damage equations are accord with the experimental situation, and the experimental data are observed undulated with theoretical curve in the range of variance. The research results can apply in the actual engineering.

Rock Slope Fuzzy Stochastic Damage Study

2012 ◽  
Vol 524-527 ◽  
pp. 337-340 ◽  
Author(s):  
Ya Jun Wang ◽  
Wo Hua Zhang
Keyword(s):  
Design Theory ◽  
Orthogonal Design ◽  
Damage Model ◽  
Damage Variable ◽  
Analytical Models ◽  
Standard Normal Distribution ◽  
Functional Models ◽  
Fuzzy Input ◽  
Standard Normal ◽  
Stochastic Damage

Fuzzy sub-space, with analysis on generalized uncertainty of damage, is setup in this paper when topological consistency of damage fuzzy and randomness on [0,1] scale being demonstrated deeply. Furthermore, deduced under fuzzy characteristics translation are three fuzzy analytical models of damage functional, namely, half depressed distribution, swing distribution, combined swing distribution, by which, fuzzy extension territory on damage evolution is formulated here. With the representation of damage variable β probabilistic distribution as well as formulation on stochastic sub-space of damage variable, expended on the basis of extension criterion and fuzzy probability is damage model defined within generalized uncertain space, by which, introduced is fuzzy probabilistic integral algorithm of generalized uncertain damage variable that could be simulated by the forthcoming fuzzy stochastic damage constitution model based on three fuzzy functional models before. Moreover, in order to realize the joint of fuzzy input and output procedure on generalized uncertain damage variable calculation, fuzzy self-adapting stochastic damage reliability algorithm is, with the update on fuzzy stochastic finite element method within standard normal distribution probabilistic space by the help of foregoing fuzzy stochastic damage constitution model, offered in this paper on the basis of equivalent-normalization and orthogonal design theory.

Super Gravity Dam Generalized Damage Study

2012 ◽  
Vol 479-481 ◽  
pp. 421-425 ◽  
Author(s):  
Ya Jun Wang ◽  
Wo Hua Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Damage Model ◽  
Damage Variable ◽  
Analytical Models ◽  
Statistical Dependence ◽  
Standard Normal Distribution ◽  
Fuzzy Input ◽  
Stochastic Damage ◽  
Element Method

Fuzzy sub-space, with analysis on generalized uncertainty of damage, is setup in this paper when topological consistency of damage fuzzy and randomness on [0,1] scale being demonstrated deeply. Furthermore, deduced under fuzzy characteristics translation are three fuzzy analytical models of damage functional, namely, half depressed distribution, swing distribution, combined swing distribution, by which, fuzzy extension territory on damage evolution is formulated here. With the representation of damage variable ß probabilistic distribution as well as formulation on stochastic sub-space of damage variable, expended on the basis of extension criterion and fuzzy probability is damage model defined within generalized uncertain space, by which, introduced is fuzzy probabilistic integral algorithm of generalized uncertain damage variable that could be simulated by the forthcoming fuzzy stochastic damage constitution model based on three fuzzy functional models before. Moreover, in order to realize the joint of fuzzy input and output procedure on generalized uncertain damage variable calculation, fuzzy self-adapting stochastic damage reliability algorithm is, with the update on fuzzy stochastic finite element method within standard normal distribution probabilistic space by the help of foregoing fuzzy stochastic damage constitution model, offered in this paper on the basis of equivalent-normalization and orthogonal design theory. 3-dimension fuzzy stochastic damage mechanical status of numerical model of Longtan Rolled-Concrete Dam is researched here by fuzzy stochastic damage finite element method program under property authority. Random field parameters’ statistical dependence and non-normality are considered comprehensively in fuzzy stochastic damage model of this paper, by which, damage uncertainty’s proper development and conception expansion as well as fuzzy and randomness of mechanics are hybridized overall in fuzzy stochastic damage analysis process.

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