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Incompatible 3-node interpolation for gradient-dependent plasticity
Chen, G.,Baker, G. Techno-Press 2004 Structural Engineering and Mechanics, An Int'l Jou Vol.17 No.1
In gradient-dependent plasticity theory, the yield strength depends on the Laplacian of an equivalent plastic strain measure (hardening parameter), and the consistency condition results in a differential equation with respect to the plastic multiplier. The plastic multiplier is then discretized in addition to the usual discretization of the displacements, and the consistency condition is solved simultaneously with the equilibrium equations. The disadvantage is that the plastic multiplier requires a Hermitian interpolation that has four degrees of freedom at each node. Instead of using a Hermitian interpolation, in this article, a 3-node incompatible (trigonometric) interpolation is proposed for the plastic multiplier. This incompatible interpolation uses only the function values of each node, but it is continuous across element boundaries and its second-order derivatives exist within the elements. It greatly reduces the degrees of freedom for a problem, and is shown through a numerical example on localization to yield good results.
Characteristics of solutions in softening plasticity and path criterion
Chen, G.,Baker, G. Techno-Press 2003 Structural Engineering and Mechanics, An Int'l Jou Vol.16 No.2
Characteristics of solutions of softening plasticity are discussed in this article. The localized and non-localized solutions are obtained for a three-bar truss and their stability is evaluated with the aid of the second-order work. Beyond the bifurcation point, the single stable loading path splits into several post-bifurcation paths and the second-order work exhibits several competing minima. Among the multiple post-bifurcation equilibrium states, the localized solutions correspond to the minimum points of the second-order work, while the non-localized solutions correspond to the saddles and local maximum points. To determine the real post-bifurcation path, it is proposed that the structure should follow the path corresponding to the absolute minimum point of the second-order work. The proposal is further proved equivalent to Bazant's path criterion derived on a thermodynamics basis.
A RECURSIVE ALGORITHM TO INVERT MULTIBLOCK CIRCULANT MATRICES
Baker, J.,Hiergeist, F.,Trapp, G. Department of Mathematics 1988 Kyungpook mathematical journal Vol.28 No.1
Circulant and multiblock circulant matrices have many important applications, and therefore their inverses are of considerable interest. A simple recursive algorithm is presented to compute the inverse of a multiblock circulant matrix. The algorithm only uses complex variables, roots of unity and normal matrix/vector operations.
Separated response functions in exclusive, forward<sup>π±</sup>electroproduction on deuterium
Huber, G. M.,Blok, H. P.,Butuceanu, C.,Gaskell, D.,Horn, T.,Mack, D. J.,Abbott, D.,Aniol, K.,Anklin, H.,Armstrong, C.,Arrington, J.,Assamagan, K.,Avery, S.,Baker, O. K.,Barrett, B.,Beise, E. J.,Bochna American Physical Society 2015 PHYSICAL REVIEW C - Vol.91 No.1
Cynthia Baker,Jessica B. Kirby,Jack O’Connor,Keston G. Lindsay,Andrea Hutchins,Margaret Harris 한국식품영양과학회 2022 Journal of medicinal food Vol.25 No.12
Stress, anxiety, and depression, along with feeling overwhelmed and exhausted have been widely reported by college students as factors that negatively impact their academic performance, and overall well-being. Ashwagandha is an Ayurvedic herb that has been used historically to support healthy responses to stressors, but has recently gained popularity in the United States for its ability to support well-being for populations who experience chronic stress. To our knowledge, there have not been any human trials evaluating the efficacy of ashwagandha on stress in the United States. No studies to date have used qualitative research methods to consider the experiential impact of ashwagandha supplementation. Our purpose was to explore the lived experiences of college students participating in a double-blind randomized control trial evaluating the impact of ashwagandha as an intervention to support college students' well-being. Participants were college students (N = 60) age 18–50 years, who were randomized to either intervention or placebo group to take one capsule twice a day for 30 days. Intervention group participants took 700 mg of full spectrum extract of ashwagandha root per day, whereas those in the placebo group took glycerol capsules. Qualitative data included daily affect check-ins and focus groups. Data were analyzed using Dedoose qualitative coding software and thematic analysis. Four themes resulted regarding energy levels, mental clarity, sleep dynamics, and stress. Our findings demonstrated that ashwagandha increased college students' perceived well-being through supporting sustained energy, heightened mental clarity, and enhanced sleep quality, through a moderate dose of ashwagandha for the course of 30 days. Clinical Trial Registration number: NCT05430685.
Search for non-relativistic magnetic monopoles with IceCube
Aartsen, M. G.,Abbasi, R.,Ackermann, M.,Adams, J.,Aguilar, J. A.,Ahlers, M.,Altmann, D.,Arguelles, C.,Arlen, T. C.,Auffenberg, J.,Bai, X.,Baker, M.,Barwick, S. W.,Baum, V.,Bay, R.,Beatty, J. J.,Becker Springer-Verlag 2014 European Physical Journal C Vol.74 No.7
The IceProd framework: Distributed data processing for the IceCube neutrino observatory
Aartsen, M.G.,Abbasi, R.,Ackermann, M.,Adams, J.,Aguilar, J.A.,Ahlers, M.,Altmann, D.,Arguelles, C.,Auffenberg, J.,Bai, X.,Baker, M.,Barwick, S.W.,Baum, V.,Bay, R.,Beatty, J.J.,Becker Tjus, J.,Becker, Elsevier 2015 Journal of parallel and distributed computing Vol.75 No.-
<P><B>Abstract</B></P> <P>IceCube is a one-gigaton instrument located at the geographic South Pole, designed to detect cosmic neutrinos, identify the particle nature of dark matter, and study high-energy neutrinos themselves. Simulation of the IceCube detector and processing of data require a significant amount of computational resources. This paper presents the first detailed description of IceProd, a lightweight distributed management system designed to meet these requirements. It is driven by a central database in order to manage mass production of simulations and analysis of data produced by the IceCube detector. IceProd runs as a separate layer on top of other middleware and can take advantage of a variety of computing resources, including grids and batch systems such as CREAM, HTCondor, and PBS. This is accomplished by a set of dedicated daemons that process job submission in a coordinated fashion through the use of middleware plugins that serve to abstract the details of job submission and job management from the framework.</P> <P><B>Highlights</B></P> <P> <UL> <LI> IceProd is a lightweight distributed workflow management framework. </LI> <LI> Uses existing middleware and protocols. </LI> <LI> Runs at user-level and is easily adaptable to other applications. </LI> <LI> It has been successful in managing 450k cores across 25 computing centers. </LI> <LI> Identified areas of improvement including scalability and load balancing. </LI> </UL> </P>