Elastic-gap free strain gradient crystal plasticity model that effectively account for plastic slip gradient and grain boundary dissipation

This paper proposes an elastic-gap free strain gradient crystal plasticity model that addresses dissipation caused by plastic slip gradient and grain boundary (GB) Burger tensor. The model involves splitting plastic slip gradient and GB Burger tensor into energetic dissipative quantities. Unlike conventional models, the bulk and GB defect energy are considered to be a quadratic functional of the energetic portion of slip gradient and GB Burgers tensor. The higher-order stresses for each individual slip systems and GB stresses are derived from the defect energy, following a similar evolution as the Armstrong-Frederick type backstress model in classical plasticity. The evolution equations consist of a hardening and a relaxation term. The relaxation term brings the nonlinearity in hardening and causes an additional dissipation. The applicability of the proposed model is numerically established with the help of two-dimensional finite element implementation. Specifically, the bulk and GB relaxation coefficients are critically evaluated based on various circumstances, considering single crystal infinite shear layer, periodic bicrystal shearing, and bicrystal tension problem. In contrast to the Gurtin-type model, the proposed model smoothly captures the apparent strengthening at saturation without causing any abrupt stress jump under non-proportional loading conditions. Moreover, when subjected to cyclic loading, the stress-strain curve maintains its curvature during reverse loading. The numerical simulation reveals that the movement of geometrically necessary dislocation (GND) towards the GB is influenced by the bulk recovery coefficient, while the dissipation and amount of accumulation of GND near the GB are controlled by the GB recovery coefficient.Comment: Submitted in Journal of the Mechanics and Physics of Solid

Baryon inhomogeneity generation via cosmic strings at QCD scale and its effects on nucleosynthesis

We have earlier shown that cosmic strings moving through the plasma at the time of a first order quark-hadron transition in the early universe can generate large scale baryon inhomogeneities. In this paper, we calculate detailed structure of these inhomogeneities at the quark-hadron transition. Our calculations show that the inhomogeneities generated by cosmic string wakes can strongly affect nucleosynthesis calculations. A comparison with observational data suggests that such baryon inhomogeneities should not have existed at the nucleosynthesis epoch. If this disagreement holds with more accurate observations, then it will lead to the conclusions that cosmic string formation scales above $10^{14} - 10^{15}$ GeV may not be consistent with nucleosynthesis and CMBR observations. Alternatively, some other input in our calculation should be constrained, for example, if the average string velocity remains sufficiently small so that significant density perturbations are never produced at the QCD scale, or if strings move ultra-relativistically so that string wakes are very thin, trapping negligible amount of baryons. Finally, if quark-hadron transition is not of first order then our calculations do not apply.Comment: 24 pages, 5 figures, minor changes, version to appear in Phys. Rev.

Large Scale Parameter Estimation Problems in Frequency-Domain Elastodynamics Using an Error in Constitutive Equation Functional

International audienceThis paper presents the formulation and implementation of an Error in Constitutive Equations (ECE) method suitable for large-scale inverse identification of linear elastic material properties in the context of steady-state elastodynamics. In ECE-based methods, the inverse problem is postulated as an optimization problem in which the cost functional measures the discrepancy in the constitutive equations that connect kinematically admissible strains and dynamically admissible stresses. Furthermore, in a more recent modality of this methodology introduced by Feissel and Allix (2007), referred to as the Modified ECE (MECE), the measured data is incorporated into the formulation as a quadratic penalty term. We show that a simple and efficient continuation scheme for the penalty term, suggested by the theory of quadratic penalty methods, can significantly accelerate the convergence of the MECE algorithm. Furthermore, a (block) successive over-relaxation (SOR) technique is introduced, enabling the use of existing parallel finite element codes with minimal modification to solve the coupled system of equations that arises from the optimality conditions in MECE methods. Our numerical results demonstrate that the proposed methodology can successfully reconstruct the spatial distribution of elastic material parameters from partial and noisy measurements in as few as ten iterations in a 2D example and fifty in a 3D example. We show (through numerical experiments) that the proposed continuation scheme can improve the rate of convergence of MECE methods by at least an order of magnitude versus the alternative of using a fixed penalty parameter. Furthermore, the proposed block SOR strategy coupled with existing parallel solvers produces a computationally efficient MECE method that can be used for large scale materials identification problems, as demonstrated on a 3D example involving about 400,000 unknown moduli. Finally, our numerical results suggest that the proposed MECE approach can be significantly faster than the conventional approach of L2 minimization using quasi-Newton methods

Peptide-based gel in environmental remediation: removal of toxic organic dyes and hazardous Pb2+ and Cd2+ ions from wastewater and oil spill recovery

A dipeptide-based synthetic amphiphile bearing a myristyl chain has been found to form hydrogels in the pH range 6.9–8.5 and organogels in various organic solvents including petroleum ether, diesel, kerosene, and petrol. These organogels and hydrogels have been thoroughly studied and characterized by different techniques including high-resolution transmission electron microscopy, X-ray diffraction, Fourier-transform infrared spectroscopy, and rheology. It has been found that the xerogel obtained from the peptide gelator can trap various toxic organic dyes from wastewater efficiently. Moreover, the hydrogel has been used to remove toxic heavy metal ions Pb2+ and Cd2+ from wastewater. Dye adsorption kinetics has been studied, and it has been fitted by using the Freundlich isotherm equation. Interestingly, the gelator amphiphilic peptide gels fuel oil, kerosene, diesel, and petrol in a biphasic mixture of salt water and oil within a few seconds. This indicates that these gels not only may find application in oil spill recovery but also can be used to remove toxic organic dyes and hazardous toxic metal ions from wastewater. Moreover, the gelator can be recycled several times without significant loss of activity, suggesting the sustainability of this new gelator. This holds future promise for environmental remediation by using peptide-based gelators

Healing Potential of Picrorhiza kurroa (Scrofulariaceae) rhizomes against indomethacin-induced gastric ulceration: a mechanistic exploration.

<p>Abstract</p> <p>Background</p> <p>The present study was undertaken to evaluate the potential of the rhizomes of the Indian medicinal plant, <it>Picrorhiza kurroa </it>in healing indomethacin-induced acute stomach ulceration in mice and examine its capacity to modulate oxidative stress and the levels of prostaglandin (PGE₂) and EGF during the process.</p> <p>Methods</p> <p>Male swiss albino mice, ulcerated with indomethacin (18 mg/kg, p. o., single dose) were treated up to 7 days with different doses of the methanol extract of <it>P. kurroa </it>rhizomes (designated as PK). The healing capacity of the most effective dose of PK (20 mg/kg, p. o. × 3 d) was compared with that of omeprazole (Omez) (3 mg/kg, p. o. × 3 d). The effects of the drug-treatment for one and three days on the biochemical parameters were assessed by comparing the results with that of untreated mice of the 1^stand 3^rdday of ulceration. The stomach tissues of the mice were used for the biochemical analysis.</p> <p>Results</p> <p>The macroscopic indices revealed maximum ulceration on the 3^rdday after indomethacin administration, which was effectively healed by PK. Under the optimized treatment regime, PK and Omez reduced the ulcer indices by 45.1% (<it>P </it>< 0.01), and 76.3% respectively (<it>P </it>< 0.001), compared to the untreated ulcerated mice.</p> <p>Compared to the ulcerated untreated mice, those treated with PK for 3 days showed decreased the levels of thiobarbituric acid reactive substances (TBARS) (32.7%, <it>P </it>< 0.05) and protein carbonyl (37.7%, <it>P </it>< 0.001), and increased mucin (42.2%, <it>P </it>< 0.01), mucosal PGE₂(21.4%, <it>P </it>< 0.05), and expressions of COX-1 and 2 (26.9% and 18.5%, <it>P </it>< 0.05), EGF (149.0%, <it>P </it>< 0.001) and VEGF (56.9%, <it>P </it>< 0.01). Omez reduced the TBARS (29.4%, <it>P </it>< 0.05), and protein carbonyl (38.9%, <it>P </it>< 0.001), and increased mucin (38.3%, <it>P </it>< 0.01), without altering the other parameters significantly.</p> <p>Conclusion</p> <p>PK (20 mg/kg, p. o. × 3 days) could effectively heal indomethacin-induced stomach ulceration in mice by reducing oxidative stress, and promoting mucin secretion, prostaglandin synthesis and augmenting expressions of cyclooxygenase enzymes and growth factors.</p

Optical Components for WDM Lightwave Networks

Recently, there has been growing interest in developing optical fiber networks to support the increasing bandwidth demands of multimedia applications, such as video conferencing and World Wide Web browsing. One technique for accessing the huge bandwidth available in an optical fiber is wavelength-division multiplexing (WDM). Under WDM, the optical fiber bandwidth is divided into a number of nonoverlapping wavelength bands, each of which may be accessed at peak electronic rates by an end user. By utilizing WDM in optical networks, we can achieve link capacities on the order of 50 THz. The success of WDM networks depends heavily on the available optical device technology. This paper is intended as a tutorial on some of the optical device issues in WDM networks. It discusses the basic principles of optical transmission in fiber and reviews the current state of the art in optical device technology. It introduces some of the basic components in WDM networks, discusses various implementations of these components, and provides insights into their capabilities and limitations. Then, this paper demonstrates how various optical components can be incorporated into WDM optical networks for both local and wide-area applications. Last, the paper provides a brief review of experimental WDM networks that have been implemented