Detonation initiated disintegration of coal particle due to the maximum strain energy theory

2013 ◽  
Vol 19 (4) ◽  
pp. 435-440 ◽  
Author(s):  
D. M. Patadiya ◽  
S. Jaisankar ◽  
T. S. Sheshadri
Keyword(s):  
Coal Particle ◽  
Strain Energy ◽  
Maximum Strain ◽  
Energy Theory

Prediction of Cylinder Flow Pressures in Mass-Flow Bins Using Minimum Strain Energy

1976 ◽  
Vol 98 (4) ◽  
pp. 1370-1374 ◽  
Author(s):  
A. G. McLean ◽  
P. C. Arnold
Keyword(s):  
Mass Flow ◽  
Strain Energy ◽  
Plane Flow ◽  
Geometry Design ◽  
Numerical Effort ◽  
Minimum Strain Energy ◽  
Flow Pressure ◽  
Energy Theory ◽  
Cylinder Flow ◽  
Complete Variation

Jenike, et al. [1] have presented a minimum strain energy theory to predict cylinder flow pressures in mass-flow bins. The complete variation of strain energy pressures is depicted by bounds requiring considerable numerical effort to develop for a specific cylinder geometry. Design charts are presented, but these are available for only two circular cylinder geometries. This paper summarizes and clarifies the minimum strain energy theory for predicting cylinder flow pressures. A single bound approximation which allows the magnitude of the peak flow pressure to be determined for both axisymmetric and plane flow cylinders is presented. This peak pressure may also be estimated by a single calculation of strain energy pressure. The usefulness and accuracy of these procedures are illustrated by reworking the example presented by Jenike, et al. [1].

Directional Coarsening of γ′ Phase Induced by Phase Transformation Stress

2005 ◽  
Vol 20 (9) ◽  
pp. 2314-2321 ◽  
Author(s):  
K. Zhao ◽  
Y.H. Ma ◽  
L.H. Lou ◽  
Z.Q. Hu
Keyword(s):  
Free Energy ◽  
Phase Transformation ◽  
Uniform Distribution ◽  
Strain Energy ◽  
Coherency Strain ◽  
Preferential Direction ◽  
Nickel Based Superalloy ◽  
Directional Coarsening ◽  
Energy Theory ◽  
Transformation Stress

It was found that directional coarsening was induced by phase transformation stress due to non-uniform distribution of μ phase in an experimental nickel-based superalloy. The mechanism based on the existing diffusion and coherency strain energy theory has been discussed. It was concluded that directional coarsening was the course of dissolving of γ′ portion with high free energy, diffusing and growing on the existed γ′ particles along a preferential direction.

A Further Examination on the Application of the Strain Energy Density Theory to the Angled Crack Problem

1982 ◽  
Vol 49 (2) ◽  
pp. 377-382 ◽  
Author(s):  
K. J. Chang
Keyword(s):  
Energy Density ◽  
Strain Energy Density ◽  
Strain Energy ◽  
Material Parameter ◽  
Biaxial Tension ◽  
Crack Problem ◽  
Core Region ◽  
Maximum Strain ◽  
Strain Criterion ◽  
Strain Energy Density Theory

The strain energy density theory (the S-theory) has been examined. Two points that may lead to confusion have been discussed when the S-theory is employed in the study of the angled crack problem. Predictions for the biaxial tension configuration based on the S-theory compared with one based on the maximum strain criterion are presented. Use of the ratio of core region radius as a material parameter in the S-theory is also questioned.

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.

Stress Calculation of Composite Pipe of Multihole Steel Pipe and PE-RT

2011 ◽  
Vol 204-210 ◽  
pp. 2027-2032
Author(s):  
Fei Wang ◽  
Ming Yan ◽  
Guo Wei Wang
Keyword(s):  
Strain Energy ◽  
Axial Stress ◽  
Steel Pipe ◽  
Burst Pressure ◽  
Stress Calculation ◽  
Composite Pipe ◽  
Calculation Results ◽  
Energy Theory

The purpose of this research is to solve stress calculation problem of the composite pipe of multihole steel pipe and polyethylene of raised temperature (PE-RT). The formulas, used to calculate the burst pressure of the composite pipe, were established separately based on three kinds of different strength theories, and also the formula, used to calculate axial stress was developed based on the deviator strain energy theory. The calculation results were compared with the measured values. It shows that the calculation results of formula based on the deviator strain energy theory are very close to the measured values. This conclusion has important meaning to the heating directly buried installation of the composite pipe.

scholarly journals Ligand Strain Energy in Large Library Docking

2021 ◽  
Author(s):  
Shuo Gu ◽  
Matthew S. Smith ◽  
Ying Yang ◽  
John J. Irwin ◽  
Brian K. Shoichet
Keyword(s):  
Small Molecules ◽  
Strain Energy ◽  
Retrospective Studies ◽  
Scoring Function ◽  
Maximum Strain ◽  
Dopamine D4 Receptor ◽  
Total Strain Energy ◽  
Population Distributions ◽  
Structural Database ◽  
D4 Receptor

ABSTRACTWhile small molecule internal strain is crucial to molecular docking, using it in evaluating ligand scores has remained elusive. Here, we investigate a technique that calculates strain using relative torsional populations in the Cambridge Structural Database, enabling fast pre-calculation of these energies. In retrospective studies of large docking screens of the dopamine D4 receptor and of AmpC β-lactamase, where close to 600 docking hits were tested experimentally, including such strain energies improved hit rates by preferentially reducing high-scoring decoy molecules that were strained. In a 40 target subset of the DUD-E benchmark, we found two thresholds that usefully distinguished between ligands and decoys: one based on the total strain energy of the small molecules, and one based on the maximum strain allowed for any given torsion within them. Using these criteria, about 75% of the benchmark targets had improved enrichment after strain filtering. Relying on pre-calculated population distributions, this approach is rapid, taking less than 0.04 second to evaluate a conformation on a standard core, making it pragmatic for pre-calculating strain in even ultra-large libraries. Since it is scoring function agnostic, it may be useful to multiple docking approaches; it is openly available at http://tldr.docking.org

A Theorem of Maximum Strain Energy

1959 ◽  
Vol 26 (1) ◽  
pp. 73-76
Author(s):  
E. H. Brown
Keyword(s):  
Strain Energy ◽  
Elastic Structure ◽  
Maximum Strain ◽  
Elastic Structures ◽  
Hooke’S Law ◽  
Rigid Structure ◽  
Maximum Value ◽  
Hooke's Law ◽  
External Loads

Abstract A new theorem for elastic structures obeying Hooke’s law is proved and enunciated as follows: If the strain energy can be expressed in terms of given external loads and the positions of points constrained to have no displacement, then the expression will have a maximum value when the positions are such as make the constraining forces zero. The theorem is generalized to allow a wider class of constraint, such as the attachment of a second, rigid structure to the elastic structure under analysis, in such a way that the two have certain displacement components in common. The principle has been applied by E. H. Mansfield to certain problems in the bending of plates.

A New Accelerating Creep Constitutive Model Based on Strain Energy Theory

2016 ◽  
Vol 13 (4) ◽  
pp. 2283-2289
Author(s):  
Caihua Shen ◽  
Wenwu Wang ◽  
Yuan Wang ◽  
Bing Zhang
Keyword(s):  
Constitutive Model ◽  
Strain Energy ◽  
Model Based ◽  
Energy Theory ◽  
Creep Constitutive Model

Typical Calculation Method of Stress Intensity Factors and Crack Growth Criterions on Infinite Plate Containing Hole-Edge Cracks

2012 ◽  
Vol 568 ◽  
pp. 154-158 ◽  
Author(s):  
Jin Fang Zhao ◽  
Qun Zhao
Keyword(s):  
Energy Release Rate ◽  
Energy Release ◽  
Crack Growth ◽  
Release Rate ◽  
Integral Method ◽  
Strain Energy ◽  
Strain Energy Release Rate ◽  
Strain Energy Release ◽  
Maximum Strain ◽  
Hole Edge

This paper introduces a finite element analysis software FRANC2D/L to calculate the stress intensity factor (SIF) and simulate the crack growth. Samples with infinite plate containing center crack, one hole-edge crack and two symmetrical hole-edge cracks were analyzed by this software. Comparing the SIF calculation results of the three samples based on displacement correlation method, J-integral method and virtual crack closure integral method, the results show that the three methods are all suitable for calculating the SIF problems, and the calculation precision of J-integral method and virtual crack closure integral method are better. Comparing the three crack growth criterion of maximum circumferential stress, maximum strain energy release rate and minimum strain energy density, the calculation velocity and precision of maximum circumferential stress criterion and minimum strain energy density criterion are prior to maximum strain energy release rate criterion. The calculating time and angle error of maximum strain energy release rate criterion is larger than that of the other two criterions．

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