Diffusion Induced Stress and Strain Energy in a Phase-Transforming Spherical Particle

The spectral decomposition of the compliance fourth-rank tensor, representative of a trigonal crystalline or other anisotropic medium, is offered in this paper, and its characteristic values and idempotent fourth-rank tensors are established, with respect to the Cartesian tensor components. Consequently, it is proven that the idempotent tensors serve to analyse the second-rank symmetric tensor space into orthogonal subspaces, resolving the stress and strain tensors for the trigonal medium into their eigentensors, and, finally, decomposing the total elastic strain energy density into distinct, autonomous components. Finally, bounds on the values of the compliance tensor components for the trigonal system, dictated by the classical thermodynamical argument for the elastic potential to be positive definite, are estimated by imposing the characteristic values of the compliance tensor to be strictly positive.

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Online Estimation of Diffusion-Induced Stress in Cathode Particles of Li-Ion Batteries

2019 IEEE 28th International Symposium on Industrial Electronics (ISIE) ◽

10.1109/isie.2019.8781262 ◽

2019 ◽

Cited By ~ 1

Author(s):

Xianke Lin ◽

Bingxian Mu

Keyword(s):

Li Ion Batteries ◽

Online Estimation ◽

Induced Stress ◽

Li Ion ◽

Diffusion Induced Stress

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Recent Results on the Elasticity Theory of Inclusions

Applied Mechanics Reviews ◽

10.1115/1.3122805 ◽

1994 ◽

Vol 47 (1S) ◽

pp. S10-S17 ◽

Cited By ~ 5

Author(s):

Jin H. Huang ◽

T. Mura

Keyword(s):

Composite Materials ◽

Work Hardening ◽

Strain Energy ◽

Volume Fraction ◽

Exact Formula ◽

Stress And Strain ◽

Inclusion Problems ◽

Elastic Fields ◽

Work Hardening Rate ◽

Minimum Strain Energy

A method drawing from variational method is presented for the purpose of investigating the behavior of inclusions and inhomogeneities embedded in composite materials. The extended Hamilton’s principle is applied to solve many problems pertaining to composite materials such as constitutive equations, fracture mechanics, dislocation theory, overall elastic moduli, work hardening and sliding inclusions. Especially, elastic fields of sliding inclusions and workhardening rate of composite materials are presented in closed forms. For sliding inclusion problems, the sliding is modeled by adding the Somigliana dislocations along a matrix-inclusion interface. Exact formula are exploited for both Burgers vector and the disturbances in stress and strain due to sliding. The resulting expressions are obtained by utilizing the principle of minimum strain energy. Finally, explicit expressions are obtained for work-hardening rate of composite materials. It is verified that the work-hardening rate and yielding stress are independent on the size of inclusions but are dependent on the shape and the volume fraction of inclusions.

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Determination of Longwall Mining-Induced Stress Using the Strain Energy Method

Rock Mechanics and Rock Engineering ◽

10.1007/s00603-014-0704-8 ◽

2015 ◽

Vol 48 (6) ◽

pp. 2421-2433 ◽

Cited By ~ 49

Author(s):

Mohammad Rezaei ◽

Mohammad Farouq Hossaini ◽

Abbas Majdi

Keyword(s):

Energy Method ◽

Strain Energy ◽

Longwall Mining ◽

Induced Stress ◽

Strain Energy Method

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Mechanical states encoded by stretch-sensitive neurons in feline joint capsule

Journal of Neurophysiology ◽

10.1152/jn.1996.76.1.175 ◽

1996 ◽

Vol 76 (1) ◽

pp. 175-187 ◽

Cited By ~ 46

Author(s):

P. S. Khalsa ◽

A. H. Hoffman ◽

P. Grigg

Keyword(s):

Energy Density ◽

Strain Energy Density ◽

Strain Energy ◽

Neuronal Response ◽

Neural Response ◽

Joint Capsule ◽

Stress And Strain ◽

Mechanical State ◽

Simple Correlation ◽

Strain Components

1. The sensitivity of group II joint afferents innervating cat knee joint capsule to in-plane stretch was studied in vitro. Single afferents were recorded from teased filaments of the posterior articular nerve. The capsule was stretched by applying forces through tabs along the edges of the capsule (3 tabs/edge) with the use of an apparatus that allowed for independent control of each load. The relationships between the neural responses of these afferents and the local continuum mechanical state of the joint capsule have been investigated. By appropriately loading the tissue margins, it was possible to establish states of uniaxial and biaxial tension, including shear. 2. Plane stress was calculated from the loads along the tissue margins. Stress at the location of the mechanoreceptor ending was estimated by interpolation. Strain was calculated from deformations of the capsule measured by tracking markers on its surface. Full characterization of tissue stress and strain made it possible to determine strain energy density and the magnitudes of other coordinate invariant mechanical quantities. 3. Individual afferents (n = 15) exhibited pronounced selectivity to the direction of applied stress and strain. There was no overall preferred orientation across neurons, and simple correlation of individual stress or strain components with the neuronal response revealed no consistent relationship between neuronal response and any single tensor component. However, linear multiple regression of the combined stress and strain components with the neuronal response revealed high correlation (mean R = 0.91), indicating that the measured mechanical states strongly determine the neuronal response. There was a much stronger relationship between neuronal response and stress variables than with strain variables. Simple correlation of the first invariant of the stress tensor with neuronal response had the highest mean correlation of the tensor quantities (R = 0.51). On average, strain energy density was only modestly correlated with the neural response (R = 0.28). 4. These findings indicate that capsule mechanoreceptors are encoding the local continuum mechanical state in the joint capsule. The neural response of these mechanoreceptors is more strongly correlated to local stress than to local strain.

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A Method for the Verification of Subsea Equipment Subject to Hydrogen Induced Stress Cracking

29th International Conference on Ocean, Offshore and Arctic Engineering: Volume 5, Parts A and B ◽

10.1115/omae2010-20149 ◽

2010 ◽

Author(s):

Michelangelo Fabbrizzi ◽

Paolo Di Sisto ◽

Roberto Merlo

Keyword(s):

Oil And Gas ◽

Production Systems ◽

Local Stress ◽

Gas Production ◽

Stress And Strain ◽

3D Analysis ◽

Oil And Gas Production ◽

Safety Issues ◽

Stress Cracking ◽

Induced Stress

Subsea oil and gas production systems can be subject to Hydrogen Induced Stress Cracking (“HISC”) depending on the material, cathodic protection and other factors. A failure in this kind of systems can lead to safety issues as well as environmental hazards and high repair costs. The analysis of recent failures has led to the recognition of HISC as a very important issue related to local stress and strain. This has necessitated the extensive use of Finite Elements Methods for the analysis of all system components. Since HISC is a recent issue, there are very few cases of such assessments reported in the literature. This paper is based on the assessment of the susceptibility of subsea piping manifolds of Duplex stainless steel to Hydrogen Induced Stress Cracking, which was conducted during the Skarv project by General Electric Oil & Gas. A variety of cases consisting of different loads and configurations were considered to give a broad assessment using a recently developed code (DNV-RP-F112-October2008). This work has led to the development of a set of procedures and models for the assessment of the entire system which is described in the current paper. The proposed methodology is useful for both design purposes and also for the verification of parts, which, if found to be non-compliant, would require redesign. In general, parts that were determined to be non-compliant using a linear assessment were found to be compliant through non-linear analysis, in fact 3D plastic analysis leads to a redistribution of stress and strain and hence, to lower values. “Cold creep” was not considered since the levels of stress and strain were considered to be low enough to avoid this phenomenon. As a consequence of this experience, a new methodology was developed, which is able to speed up the analysis process and to predict local stresses from only pipe elements. The latter permits the use of a linear assessment for bends, T junctions and weldolet even with misalignment and erosion, avoiding the need to perform 3D analysis. The second part of the paper describes this method.

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