On an elasto-plastic stress-strain relationship for multi-axial stress states

1978 ◽  
Vol 12 (10) ◽  
pp. 1617-1622 ◽  
Author(s):  
S. Y. Cheng ◽  
T. R. Hsu
Keyword(s):  
Axial Stress ◽  
Stress Strain ◽  
Strain Relationship ◽  
Stress States ◽  
Plastic Stress

Elastic-Plastic Stress Distribution in a Compressed Ring

1968 ◽  
Vol 90 (4) ◽  
pp. 435-440
Author(s):  
K. T. Chang ◽  
P. M. Leopold
Keyword(s):  
Stress Distribution ◽  
Strain Curve ◽  
Experimental Results ◽  
Uniaxial Tensile ◽  
Uniaxial Tensile Test ◽  
Strain Gages ◽  
Stress Strain ◽  
Theoretical Predictions ◽  
Strain Relationship ◽  
Plastic Stress

This investigation was conducted to define the plastic stress distribution at a section 90 degrees from the point of load application on a ring. The elastic and plastic stress distribution was determined experimentally by using postyield strain gages and the stress-strain relationship obtained from a uniaxial tensile test. The experimental results in the elastic range were found to agree with presently available theoretical predictions. A theoretical plasticity analysis of the ring was made by assuming that it deforms to the shape of an ellipse and that plane sections remain plane. The strains determined in this manner were used to calculate stresses off the tensile stress-strain curve. The experimental results indicated that this initial analysis gave a good approximation of the stress distribution for large deflections of the ring.

Study of Consistency between Two-Dimensional, sin2ψ, cosα and Fourier Transformation Methods for X-Ray Residual Stress Measurement by Debye Ring Simulation

2018 ◽  
Vol 941 ◽  
pp. 2407-2412 ◽  
Author(s):  
Muneyuki Imafuku ◽  
Yuki Ishikawa
Keyword(s):  
Stress Measurement ◽  
Axial Stress ◽  
Two Dimensional ◽  
X Ray ◽  
Debye Ring ◽  
Analysis Theory ◽  
Strain Relationship ◽  
Reverse Analysis ◽  
Stress States ◽  
Transformation Methods

We investigated the consistency of four methods by analyzing the distorted Debye rings with various stress states. Firstly, the distorted Debye rings were generated under various uni-, bi-and tri-axial stress states by using the fundamental stress-strain relationship in two dimensional X-ray stress analysis theory. Secondly, we performed reverse analysis of stress states in the frameworks of sin2ψ and cosα methods from the simulated Debye rings. Moreover, the profiles of simulated Debye rings were Fourier transformed and the stress states were calculated in accordance with the obtained 1st and 2nd order Fourier coefficients. As a result, it was confirmed that all these methods provide the same stress values. That is to say, all these methods are consistent. Therefore, we can guarantee the validity of choosing any appropriate method considering the geometrical restrictions of experiment.

Effect of Confining Pressure on Modeling High Early Strength Concrete under Uniaxial Loading

2006 ◽  
Vol 321-323 ◽  
pp. 367-370
Author(s):  
Bo Hwan Oh ◽  
Hong C. Rhim ◽  
Hyo Seon Park
Keyword(s):  
Axial Stress ◽  
Triaxial Compression ◽  
Concrete Strength ◽  
Confining Pressure ◽  
Plastic Strain Rate ◽  
Deformation Model ◽  
Stress Strain ◽  
Strength Concrete ◽  
Strain Relationship ◽  
Early Strength

Better understanding of concrete behavior is beneficial to the determination of concrete strength and detection of cracking using nondestructive testing techniques such as ultrasonic and acoustic emission. For advanced nondestructive evaluation of high early strength concrete under triaxial compression loading, stress-strain relationship in axial as well as in radial directions needs to be described in explicit form. This paper presents empirical models developed for high early strength concrete under active confinement to explore the effect of confining pressure. Empirical model for axial stress-strain relationship is determined first. Transverse deformation model is automatically generated from the given axial stress-strain model using plastic strain rate. Parameters used in the model are identified and their recommended values are provided. Compressive strength of 24 MPa and 45 MPa concretes are considered along with four different levels of confining pressures.

scholarly journals On the objectivity of the nonlinear along-fibre shear stress–strain relationship for unidirectionally fibre-reinforced composites

2021 ◽  
Vol 127 (1) ◽  
Author(s):  
Shuguang Li ◽  
Mingming Xu ◽  
Shibo Yan ◽  
Elena Sitnikova
Keyword(s):  
Shear Stress ◽  
Stress Conditions ◽  
Reinforced Composites ◽  
Stress Strain ◽  
Consistent Manner ◽  
Strain Relationship ◽  
Complementary Strain ◽  
Stress States ◽  
New Formulation ◽  
Fibre Reinforced Composites

AbstractThe nonlinear along-fibre shear stress–strain relationship for unidirectionally fibre-reinforced composites has been investigated in this paper aiming at its applications in general 3D stress conditions in a consistent manner. So far, such relationship has only been addressed in plane stress conditions. In this paper, it has been shown that its straightforward generalisation to 3D stress states lacks objectivity, which is a basic requirement for all theoretical studies of physical problems. A new formulation is proposed based on the stress invariants and the complementary strain energy guided by the rational theoretical framework of nonlinear elasticity. A consistent and objective stress–strain relationship has been obtained and verified through an example of application to a torsion problem.

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