Minimum-weight beams with shear strain energy

2011 ◽  
Vol 16 (1) ◽  
pp. 145-154 ◽  
Author(s):  
Byoung Koo Lee ◽  
Sang Jin Oh ◽  
Tae Eun Lee ◽  
Jung Su Park
Keyword(s):  
Shear Strain ◽  
Strain Energy ◽  
Minimum Weight ◽  
Shear Strain Energy

The Creep of Thick Tubes Under Internal Pressure

1957 ◽  
Vol 24 (3) ◽  
pp. 464-466
Author(s):  
C. D. Weir
Keyword(s):  
Internal Pressure ◽  
Strain Rate ◽  
Shear Strain ◽  
Rate Equation ◽  
Strain Energy ◽  
Strain Energy Function ◽  
Stress Deviator ◽  
Constant Density ◽  
Creep Stress ◽  
Shear Strain Energy

Abstract Using the usually accepted assumption that the strain rate of a material undergoing creep is given by the product of the stress deviator and a function of the shear-strain energy, and assuming constant density, equations are derived for the creep stresses in a thick-walled tube under internal pressure for a generalized form of the shear strain-energy function. It is shown that these reduce to previously published equations on the substitution of a power law stress-strain rate equation. The nonisothermal case is considered also and creep-stress equations are obtained in a similarly generalized form.

An Energy Approach to the Mechanics of Discontinuous Chip Formation

1964 ◽  
Vol 86 (2) ◽  
pp. 157-162 ◽  
Author(s):  
W. K. Luk ◽  
R. C. Brewer
Keyword(s):  
Shear Stress ◽  
Shear Strain ◽  
Normal Stress ◽  
Chip Formation ◽  
Strain Energy ◽  
Energy Condition ◽  
Stress And Strain ◽  
Rupture Plane ◽  
Shear Stress And Strain ◽  
Shear Strain Energy

After briefly reviewing previous work in this field, the authors propose that rupture of the chip work contact (to give a discontinuous chip) is governed by a limiting shear strain energy condition. Assuming that shear stress and strain at rupture are dependent on the compressive normal stress, a criterion for the direction of the rupture plane is deduced. Using some results given by Field and Merchant, the authors then compare their calculated direction of rupture with that experimentally observed. Some indication that the agreement is not entirely fortuitous is afforded by checking the calculated shear strain energy at fracture with that calculated from force and chip measurements.

On Energy Strength Theories for Geomaterials

2013 ◽  
Vol 353-356 ◽  
pp. 901-904
Author(s):  
Shou Yi Xue
Keyword(s):  
Energy Density ◽  
Shear Strain ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Volumetric Strain ◽  
Dissipated Energy ◽  
Energy Theory ◽  
Shear Strain Energy ◽  
Shear Energy ◽  
Strain Energy Density Theory

The composition of the energy in the process of material deformation and failure and the relationship between energy and strength were summarized; the features, essences and main problems of the energy release rate theory, the three-shear energy theory and the net shear strain energy density theory were illustrated. It is pointed out that the roles of distortion strain energy, volumetric strain energy and dissipated energy are not identical, especially distortion strain energy and volumetric strain energy must be separately processed. The three-shear energy theory and the net shear strain energy density theory can properly deal with the problems, and also well reflect the intermediate principal stress effect. The above research results can provide references for further discussions.

Further Study on the Net Shear Strain Energy Density Theory

2013 ◽  
Vol 423-426 ◽  
pp. 1644-1647
Author(s):  
Shou Yi Xue
Keyword(s):  
Energy Density ◽  
Shear Strain ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Elastic Strain Energy ◽  
Volumetric Strain ◽  
Material Strength ◽  
Strength Theory ◽  
Shear Strain Energy ◽  
Strain Energy Density Theory

The net shear strain energy density strength theory was systematically explained. Firstly, the composition of elastic strain energy and the roles of their own were analyzed, and it is pointed out that the distortion strain energy is the energy driving failure and the volumetric strain energy can help improve the material strength. Therefore, ultimate energy driving material damage should be the shear strain energy after deducting the friction effect, namely the net shear strain energy, which indicates rationality of the assumption adopted by the net shear strain energy strength theory. Secondly, the empirical laws of geomaterial strength were summarized and explained by using the net shear strain energy theory, which verifies the new theory is appropriate.

Multiphase Constitutive Model of " Matrix-Strengthen Particle of Saturated Soil "

2010 ◽  
Vol 168-170 ◽  
pp. 1098-1101
Author(s):  
Wen Xu Ma ◽  
Ying Guang Fang ◽  
Zhe Li
Keyword(s):  
Particle Size ◽  
Constitutive Model ◽  
Shear Strain ◽  
Strain Gradient ◽  
Strain Energy ◽  
Continuum Models ◽  
Internal Length ◽  
Micro Scale ◽  
The Matrix ◽  
Shear Strain Energy

In this article soil is treated as non-uniform material including two parts : the matrix particles and the reinforcement particles. Through soil shear strain energy and micro-crack assumptions, we establish a multiphase constitutive model connecting macro and micro scale based on classical continuum models, which includes the strain gradient, internal length scales and particle size. This model have been verified reasonable by artificial soil experiment.

A More Exact Model for Predicting the Deflection of a Clamped Magnetostrictive Film-Substrate System

2011 ◽  
Vol 197-198 ◽  
pp. 552-557
Author(s):  
Ming Li
Keyword(s):  
Finite Element ◽  
Shear Stress ◽  
Shear Strain ◽  
Strain Energy ◽  
Analytical Formula ◽  
Finite Element Package ◽  
Film Substrate ◽  
Shear Strain Energy ◽  
Magnetostrictive Film

A more exact general analytical formula of preditcting the magnetostrictive coefficient is derived for any aspect ratio based the deflection difference between the x and y directions. The curvatures are found by minimizing the total energy of the system, which taking into account shear strain energy. The in-plane stress distribution including shear stress for short specimen is also given by the ANSYS® finite element package to illustrate the role of shear strain in the deformation of magnetostrictive film-substrate system.

The Detection and Imaging of Internal Defect Using ESPI-Based Strain Analysis

2006 ◽  
Vol 321-323 ◽  
pp. 87-90
Author(s):  
Tae Hun Lee ◽  
Kyung Young Jhang
Keyword(s):  
Shear Strain ◽  
Strain Energy ◽  
Speckle Pattern ◽  
Strain Analysis ◽  
Body Motion ◽  
Internal Defect ◽  
Exact Shape ◽  
Shear Strain Energy ◽  
Evaluation Techniques ◽  
Nondestructive Evaluation Techniques

Optical NDE (Nondestructive Evaluation) techniques such as ESPI (Electronic Speckle Pattern Interferometer) and shearography that are non-contact and real-time method are used to detect the defects in material. However, ESPI measurement is affected by disturbance such as rigid body motion, and has difficulty in recognizing the real shape and size of the defect. Shearography also involves several problems like it needs several operator-dependent factors including the amount of shearing and shearing direction for the quantitative analysis of internal defect, and it does not show the exact shape of the defect. In order to overcome these problems and evaluate the internal defect quantitatively in this study, the imaging of the inner defect based on the ESPI technique is proposed. In this method, the external perturbative load such as thermal load is induced to the specimen, and the deformation distribution of the specimen is measured by ESPI. Then the distribution of the shear strain energy is obtained by the strain analysis of the ESPI measurement result. On the edge of the defect, the shear strain energy is concentrated, so we can obtain the outline of the internal defect by following the peak point of the shear strain energy distribution. This method makes it possible to evaluate the size and shape of the defect quantitatively without operator-dependent factors.

Techniques for investigating the yield surface behaviour of pressure-vessel materials

1978 ◽  
Vol 13 (3) ◽  
pp. 185-191 ◽  
Author(s):  
D N Moreton ◽  
D G Moffat ◽  
R P Hornby
Keyword(s):  
Stress State ◽  
Shear Strain ◽  
Yield Surface ◽  
Pressure Vessel ◽  
Strain Energy ◽  
Three Dimensional ◽  
Pressure Vessel Steel ◽  
Vessel Steel ◽  
Initial Yield ◽  
Shear Strain Energy

The Mises shear strain energy model has long been accepted as satisfactory for defining initial yield in the general three-dimensional stress state. For materials which strain-harden after initial yield, the situation is complex and subsequent yield surfaces will depend on the direction and level of pre-stress. This paper describes experimental techniques for investigating general yield surface behaviour, and presents illustrative results for a 2 1/4 per cent Cr, 1 per cent Mo pressure-vessel steel.

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