The Continuous Damage Theory of Brittle Materials, Part 2: Uniaxial and Plane Response Modes

1981 ◽  
Vol 48 (4) ◽  
pp. 816-824 ◽  
Author(s):  
G. U. Fonseka ◽  
D. Krajcinovic
Keyword(s):  
Uniaxial Tension ◽  
Uniaxial Compression ◽  
Analytical Model ◽  
Brittle Materials ◽  
Strain Fields ◽  
Material Parameters ◽  
Damage Theory ◽  
Response Modes

This part of the paper focuses on the application of the analytical model developed in Part 1 on the uniaxial tension, uniaxial compression, and plane problems (including rotating strain fields and unproportional loading). Identification of the material parameters is discussed in view of the derived results.

Angled Elliptic Notch Problem Under Biaxial Loading

1980 ◽  
Vol 47 (1) ◽  
pp. 57-63 ◽  
Author(s):  
K. J. Chang ◽  
H.-C. Wu
Keyword(s):  
Experimental Data ◽  
Uniaxial Tension ◽  
Uniaxial Compression ◽  
Failure Criterion ◽  
Fracture Behavior ◽  
Biaxial Loading ◽  
Pure Shear ◽  
Present Theory ◽  
Material Parameters ◽  
Special Cases

The strain failure criterion proposed by the second author is applied to obtain general solutions for the angled elliptic notch problem subject to uniform biaxial loading. The solutions can be reduced to those for uniaxial tension, uniaxial compression, or pure shear as special cases. The solution for the case of pure shear is compared with experimental data found in literature. It is remarked that the present theory involves material parameters and predicts that fracture behavior is dependent on materials being investigated.

scholarly journals Predicting the Mechanical Properties of Bimrocks with High Rock Block Proportions Based on Resonance Testing Technology and Damage Theory

2019 ◽  
Vol 9 (17) ◽  
pp. 3537
Author(s):  
Yuexiang Lin ◽  
Limin Peng ◽  
Mingfeng Lei ◽  
Xiang Wang ◽  
Chengyong Cao
Keyword(s):  
Mechanical Properties ◽  
Elastic Modulus ◽  
Constitutive Model ◽  
Uniaxial Compression ◽  
Rock Block ◽  
Dynamic Elastic Modulus ◽  
Parameter Determination ◽  
Design Parameters ◽  
Damage Theory ◽  
Design And Construction

Block-in-matrix-rocks (bimrocks) are very complicated geological masses that cause many challenging problems during the design and construction of engineering projects, such as parameter determination and landsliding. Successful engineering design and construction depends on a suitable constitutive model and reliable design parameters for geological masses. In this paper, the vibration attenuation signal of welded bimrocks was obtained and studied using resonance test technology. Combined with a uniaxial compression test, a constitutive model was proposed to describe the mechanical behavior of welded bimrocks. On this basis, the relations between the dynamic elastic modulus and the physical parameters of bimrocks were established, which included macroscopic mechanical parameters and damage constitutive parameters. Consequently, a new technological process was proposed to provide quick identification of the mechanical properties of welded bimrocks. The results indicate that the dynamic elastic modulus is highly correlated with the rock block proportion (RBP) and uniaxial compression strength (UCS). It is an effective parameter to predict the strength of the bimrocks with high RBPs. Additionally, the proposed constitutive model, which is based on damage theory, can accurately simulate the strain softening behavior of the bimrocks. Combining the resonant frequency technology and the proposed constitutive model, the complete stress strain curve can be obtained in a rapid and accurate manner, which provides a further guarantee of the stability and safety of underground engineering.

scholarly journals Fracture of brittle materials under uniaxial compression

2018 ◽  
Vol 13 ◽  
pp. 976-981
Author(s):  
Mina Iskander ◽  
Nigel Shrive
Keyword(s):  
Uniaxial Compression ◽  
Brittle Materials

A study on determination of tensile properties of metals at elevated temperatures from spherical indentation tests

2019 ◽  
Vol 54 (5-6) ◽  
pp. 331-347
Author(s):  
Tairui Zhang ◽  
Shang Wang ◽  
Weiqiang Wang
Keyword(s):  
Tensile Properties ◽  
Analytical Model ◽  
Elevated Temperatures ◽  
Regression Function ◽  
Maximum Error ◽  
Analytical Models ◽  
Uniaxial Tensile ◽  
Spherical Indentation ◽  
Material Parameters ◽  
Indentation Tests

In this study, spherical indentation tests were used to determine the uniaxial tensile properties of metals at elevated temperatures (200 °C, 400 °C, and 600 °C). Taking the difference between spherical indentation tests at room and elevated temperatures into consideration, the incremental and analytical models were used to determine material parameters ( σ0, Ep, and n) and thermal softening parameters ( Eeff and m) in the Johnson–Cook constitutive equation, respectively. A discussion on the stability of the analytical model proved that despite in relative complicated forms and with three intercoupling material parameters, the analytical model is still effective for tensile property calculation. From the investigation on the relationship between pm and pi, it was found that correlating coefficient ξ is actually a function of both indentation depth and material parameters, and thus, a regression function was proposed for a more accurate description of ξ. Effectiveness of the spherical indentation tests was verified through experiments on three steels, SA508, 15CrMoR, S30408, and one titanium alloy, TC21, which proved that the spherical indentation tests can provide both proof and tensile strength calculations with a maximum error around 15% at room temperature and within 20% at elevated temperatures, and thus satisfy the demands for engineering applications.

Calibration of DEM material parameters to simulate stress-strain behaviour of unsaturated soils during uniaxial compression

2019 ◽  
Vol 194 ◽  
pp. 104303 ◽  
Author(s):  
Jan De Pue ◽  
Gemmina Di Emidio ◽  
R. Daniel Verastegui Flores ◽  
Adam Bezuijen ◽  
Wim M. Cornelis
Keyword(s):  
Uniaxial Compression ◽  
Unsaturated Soils ◽  
Stress Strain ◽  
Material Parameters ◽  
Strain Behaviour

Statistical damage model for quasi-brittle materials under uniaxial tension

2009 ◽  
Vol 16 (4) ◽  
pp. 669-676 ◽  
Author(s):  
Jian-yun Chen ◽  
Wei-feng Bai ◽  
Shu-li Fan ◽  
Gao Lin
Keyword(s):  
Uniaxial Tension ◽  
Damage Model ◽  
Brittle Materials ◽  
Statistical Damage

Modeling and Simulation of Monocrystal Piezoelectric Generator

2013 ◽  
Vol 785-786 ◽  
pp. 1203-1207
Author(s):  
Lei Zhang ◽  
Li Qing Fang ◽  
De Qing Guo ◽  
Yong Chao Chen
Keyword(s):  
Modeling And Simulation ◽  
Numerical Method ◽  
Analytical Model ◽  
Piezoelectric Materials ◽  
Mechanical Vibration ◽  
Adhesive Layer ◽  
Operation Mechanism ◽  
Material Parameters ◽  
Voltage Stress ◽  
Piezoelectric Generator

The expressions of voltage, stress and amount of charge of monocrystal piezoelectric generator under concentrated exterior pressure was derived in order to proving the precision and validity of numerical method applied to piezoelectric materials' distribution sensing and the study of operation mechanism ignore the influence of adhesive layer. An analytical model of the monocrystal piezoelectric generator was established by using the mechanical vibration theory. And the effects of the structural and material parameters on the output energy are analyzed.

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