Modified Approach for Stress Strain Equation in the Linear Kelvin–Voigt Solid Based on Fractional Order

2016 ◽  
Vol 13 (1) ◽  
pp. 579-583 ◽  
Author(s):  
A. A El-Bary ◽  
M Atef
Keyword(s):  
Fractional Order ◽  
Stress Strain ◽  
Strain Equation

Development of the External Pressure Charts for 2¼Cr-1Mo and Mod.9Cr-1Mo Steel at Elevated Temperature Design

2019 ◽  
Author(s):  
Masanori Ando ◽  
Satoshi Okajima ◽  
Kazumichi Imo
Keyword(s):  
Elevated Temperature ◽  
Fast Reactor ◽  
Strain Curve ◽  
External Pressure ◽  
Stress Strain ◽  
Part D ◽  
Elevated Temperature Design ◽  
Minimum Stress ◽  
Design Yield ◽  
Strain Equation

Abstract For the required thickness estimation against buckling in the elevated temperature design, the external pressure chart for two kinds of ferritic steel, 2 1/4Cr-1Mo and Mod.9Cr-1Mo steel, was developed. On the basis of the guideline described in the ASME BPVC Section II, Part D, Mandatory Appendix 3 with mechanical and physical properties provided in the JSME fast reactor code, the external pressure charts for each material were constructed. The minimum stress-strain curve for evaluating the external pressure chart was applied the stress-strain equation with design yield strength, Sy, provided by the JSME fast reactor code. As a result, three external pressure charts with digital values were proposed for elevated temperature design. Moreover, the rationalization effect from the current alternative was evaluated by the sample problem. This proposal resolves two issues. One is alternative use of chart for lower strength material over the 150 °C. The other is the external pressure chart above 480°C for which ferritic steels are not available.

Stress‐Strain Equation for Rubber in Tension

1958 ◽  
Vol 29 (10) ◽  
pp. 1398-1406 ◽  
Author(s):  
W. E. Claxton
Keyword(s):  
Stress Strain ◽  
Strain Equation

Effect of Biaxial Stress on Crack Driving Force

2006 ◽  
Author(s):  
G. Shen ◽  
W. R. Tyson
Keyword(s):  
Internal Pressure ◽  
Driving Force ◽  
Axial Stress ◽  
Axial Strain ◽  
Biaxial Stress ◽  
J Integral ◽  
Longitudinal Stress ◽  
Secondary Stress ◽  
Stress Strain ◽  
Strain Equation

A stress-strain equation of Ramberg-Osgood type is proposed to correlate the longitudinal stress with longitudinal strain of a thin plate when a constant stress is applied transversely. The same approach can be used to correlate the axial stress with axial strain for a thin-walled pipe in axial tension with internal pressure. The proposed stress-strain equation relating the longitudinal stress and strain closely approximates that of deformation theory. The effect of a secondary stress (hoop stress) on the J-integral for a circumferential crack in a pipe under axial load and internal pressure is evaluated by finite element analysis (FEA). The results show that the J-integral decreases with internal pressure at a given axial stress but increases with internal pressure at a given axial strain. It is concluded that while a secondary stress may be safely neglected in a stress-based format because it decreases the driving force at a given applied stress, it should not be neglected in a strain-based format because it significantly increases the driving force at a given applied strain.

Universal Stress-Strain Equation for Metallic Materials

2014 ◽  
Vol 26 (8) ◽  
pp. 04014030 ◽  
Author(s):  
Francisco Salguero ◽  
Sixto Romero ◽  
Fulgencio Prat ◽  
Ricardo Arribas ◽  
Francisco Moreno
Keyword(s):  
Metallic Materials ◽  
Stress Strain ◽  
Strain Equation

Fractional Order Constitutive Model of Geomaterials Under the Condition of Triaxial Test

2011 ◽  
Author(s):  
Deshun Yin ◽  
Hao Wu ◽  
Chen Cheng ◽  
YangQuan Chen
Keyword(s):  
Fractional Calculus ◽  
Constitutive Model ◽  
Fractional Order ◽  
Triaxial Test ◽  
Constitutive Models ◽  
Constant Strain Rate ◽  
Stress Strain ◽  
Good Tool ◽  
Strain Relation ◽  
Stress Strain Relation

Fractional calculus has been successfully applied to characterize the rheological property of viscoelastic materials, however, geomaterials were seldom involved in fractional order constitutive models (FOCM), and the issue of first loading and then unloading is rarely discussed through fractional calculus. It is considered that all materials are arranged in a queue and ideal solid and Newtonian fluid are located at both ends of the queue in FOCM. On the basis of FOCM, stress-strain relation under the condition of first loading and then unloading, besides creep, stress-relaxation and loading of constant strain rate are obtained. The stress-strain relation is utilized to fit triaxial test results of geomaterials under the corresponding conditions. The comparison between the test and fitting results reveals that FOCM can reasonably describe the stress-strain, stress-time or strain-time characteristics of geomaterials, which shows that fractional calculus is a good tool to constitutive model research of geomaterials.

scholarly journals Experimental and Stress-Strain Equation Investigation on Compressive Strength of Raw and Modified Soil in Loess Plateau

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Youchao Zhang ◽  
Yihong Wang ◽  
Nana Zhao ◽  
Tianya Wang
Keyword(s):  
Compressive Strength ◽  
Loess Plateau ◽  
Construction Material ◽  
Compressive Loading ◽  
Special Kind ◽  
Northwest China ◽  
Stress Strain ◽  
Earthen Construction ◽  
Strain Equation ◽  
Modified Soil

As a special kind of soil is widely distributed in Loess Plateau of northwest China, it is difficult to use for growing crops and has poor structural property. According to local arid climate, the best utilization of the soil is as earthen construction material and it has been used for thousands of years. To research and improve the mechanical properties, the study investigates the response of soil with cement, lime, sand, and straw as admixtures to compressive loading. The influence on compressive strength and ductility of additives in different proportions is compared and analysed. The experimental data is also used for the formulation of dimensionless and generalized models describing the raw soil and modified soil’s full stress-strain response. The models can be applied to soil and modified soil in Loess Plateau with variable strength and deformation characteristics and therefore may be exploited for earthen construction design and nonlinear structural analyses.

An Investigation of Springback in Wire Products

1972 ◽  
Vol 94 (1) ◽  
pp. 329-334 ◽  
Author(s):  
J. B. Kruger ◽  
A. N. Palazotto
Keyword(s):  
Material Properties ◽  
Simple Expression ◽  
Experimental Results ◽  
Two Dimensional ◽  
Stress Strain ◽  
Dimensional Properties ◽  
Strain Equation

This paper attempts to develop a simple expression for springback in which material properties are considered through the use of the Ramberg–Osgood stress-strain equation. Since work has been carried out using wire specimens, two dimensional properties are assumed negligible. Comparison is made between theory and experimental results for various radii and angle of bends.

Mechanical properties of pleural membrane

1984 ◽  
Vol 57 (4) ◽  
pp. 1189-1194 ◽  
Author(s):  
D. Stamenovic
Keyword(s):  
Energy Function ◽  
Strain Energy ◽  
Large Deformations ◽  
Strain Energy Function ◽  
Shear Forces ◽  
Stress Strain ◽  
Oriented Line ◽  
Strain Equation ◽  
Line Elements ◽  
Good Agreement

The pleural membrane is modeled as a planar collection of interconnected randomly oriented line elements. By assuming that the line elements follow the strain field of a continuum, a strain-energy function is formulated. From the strain-energy function, an explicit stress-strain equation for large deformations is derived. In the linear approximation of the stress-strain equation the shear modulus and the area modulus of the membrane are respectively found to be 2.4 and 2.8 times the tension at the reference state. The stress-strain equation for large deformations is used to predict the displacement field around a circular hole in pleura. Good agreement is found between these predictions and measurements made on ablated pleura from dog lungs. From these theoretical and experimental results the conclusion is drawn that the pleura has a significant role in carrying shear forces and maintaining the lung's shape.

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