For a surface traction t, acting on a region Γt of the boundary of a given body Ω supported on Γ0 ⊂ ∂Ω, we consider the infimum σ opt t = infσ {ess supx |σ(x)|} over all stress fields σ in equilibrium with t, i.e., the smallest essential bound on all conceivable stress fields. Using the space of LD-vector fields on Ω, we show that σ t is attainable by some stress field σ̂ and that σ opt t = sup ...

This chapter reviews several theoretical models that are used to compute the stress fields inside the electrode particles of lithium-ion batteries during discharging/charging process and provides a guideline for researchers to choose the appropriate models. Due to the limitation of the existing models, a general electrochemo-mechanical framework is presented to model the concentration and stres...

Finite element analysis for cross rolling of AISI 304 austenitic stainless steel has been carried out by rotating the plate by 90° in between the passes. To analyze stress and strain fields in the material for cross rolling, a full 3D model of work-roll and plate has been developed using rigid-viscoplastic finite element method. The stress and strain fields, considering von Mises yield criteria...

Based on 43 Harvard CMT solutions in Yunnan region, GPS observations from 1999 to 2004 by China Crustal Movement Observatory Network, and results from SKS splitting and Pn fast wave anisotropy, we obtained the average directions of principle stress fields at different depths by average angle method. Then we further analyzed the coupling difference between geodynamic parameters in different tect...

Multiple elastic inclusions with uniform internal stress fields in an infinite elastic matrix are constructed under given uniform remote in-plane loadings. The method is based on the sufficient and necessary condition imposed on the boundary value of a holomorphic function that guarantees the existence of the holomorphic function in a multiply connected region. The unknown shape of each of the ...

This article reports unique pattern formation processes and mechanisms via crystallization of materials under external flow fields as one of the general problems of open nonequilibrium phenomena in statistical physics. The external fields effectively reduce step-by-step the exceedingly large free energy barriers associated with the reduction of the enormously large entropy necessary for crystal...

There has been little interest in the application of hydraulic fracture treatment in Iranian oil fields, thanks to the primarily suitable production rates of the vast oil fields. In this paper, hydraulic fracturing treatment was simulated by different models for a carbonate reservoir in the southwest of Iran. Suitable pay zones were nominated based on the lithology, water-oil saturation, geomec...