Implementation of a Matrix Crack Spacing Parameter in a Continuum Damage Mechanics Finite Element Model

Continuum Damage Mechanics (CDM) based progressive damage and failure analysis (PDFA) methods have demonstrated success in a variety of finite element analysis (FEA) implementations. However, the technical maturity of CDM codes has not yet been proven for the full design space of composite materials in aerospace applications. CDM-based approaches represent the presence of damage by changing the local material stiffness definitions and without updating the original mesh or element integration schemes. Without discretely representing cracks and their paths through the mesh, damage in models with CDM-based materials is often distributed in a region of partially damaged elements ahead of stress concentrations. Having a series of discrete matrix cracks represented by a softened region may affect predictions of damage propagation and, thus, structural failure. This issue can be mitigated by restricting matrix damage development to discrete, fiber-aligned rows of elements; hence CDM-based matrix cracks can be implemented to be more representative of discrete matrix cracks. This paper evaluates the effect of restricting CDM matrix crack development to discrete, fiber-aligned rows where the spacing of these rows is controlled by a user-defined crack spacing parameter. Initially, the effect of incrementally increasing matrix crack spacing in a unidirectional center notch coupon is evaluated. Then, the lessons learned from the center notch specimen are applied to open-hole compression finite element models. Results are compared to test data, and the limitations, successes, and potential of the matrix crack spacing approach are discussed

Warrant Enforcement in Louisville Metro and the City of St. Louis from 2006 2019: A Cross-site Analysis

This report describes and compares bench and fugitive warrant arrests in Jefferson County, Kentucky (hereinafter Louisville Metro) and the City of St. Louis, Missouri during the period 2006 to 2019. The report is based on two site-specific reports that focus on the individual jurisdictions (see "Warrant Arrests in the City of St. Louis: 2002 –2019" and "Examining Warrant Arrests in Jefferson County, Kentucky: 2006 to 2019" for additional details). The goal is to shed light on the enforcement of warrants, which are a large part of policing practice. This comparative approach provides insight into variability in the levels and nature of warrant arrests in communities with differing legal contexts and government structures. This report is a starting point to understand trends in warrant enforcement across two jurisdictions with similar social and economic landscapes. It is our hope that the findings are useful for stakeholders as they consider ways to make the criminal legal system more efficient and equitable.

Hubble Space Telescope Astrometry of the Procyon System

The nearby star Procyon is a visual binary containing the F5 IV-V subgiant Procyon A, orbited in a 40.84 yr period by the faint DQZ white dwarf Procyon B. Using images obtained over two decades with the Hubble Space Telescope, and historical measurements back to the 19th century, we have determined precise orbital elements. Combined with measurements of the parallax and the motion of the A component, these elements yield dynamical masses of 1.478 +/- 0.012 Msun and 0.592 +/- 0.006 Msun for A and B, respectively. The mass of Procyon A agrees well with theoretical predictions based on asteroseismology and its temperature and luminosity. Use of a standard core-overshoot model agrees best for a surprisingly high amount of core overshoot. Under these modeling assumptions, Procyon A's age is ~2.7 Gyr. Procyon B's location in the H-R diagram is in excellent agreement with theoretical cooling tracks for white dwarfs of its dynamical mass. Its position in the mass-radius plane is also consistent with theory, assuming a carbon-oxygen core and a helium-dominated atmosphere. Its progenitor's mass was 1.9-2.2 Msun, depending on its amount of core overshoot. Several astrophysical puzzles remain. In the progenitor system, the stars at periastron were separated by only ~5 AU, which might have led to tidal interactions and even mass transfer; yet there is no direct evidence that these have occurred. Moreover the orbital eccentricity has remained high (~0.40). The mass of Procyon B is somewhat lower than anticipated from the initial-to-final-mass relation seen in open clusters. The presence of heavy elements in its atmosphere requires ongoing accretion, but the place of origin is uncertain.Comment: Accepted by Astrophysical Journa

Interferometry of ϵ\epsilon Aurigae: Characterization of the asymmetric eclipsing disk

We report on a total of 106 nights of optical interferometric observations of the $\epsilon$ Aurigae system taken during the last 14 years by four beam combiners at three different interferometric facilities. This long sequence of data provides an ideal assessment of the system prior to, during, and after the recent 2009-2011 eclipse. We have reconstructed model-independent images from the 10 in-eclipse epochs which show that a disk-like object is indeed responsible for the eclipse. Using new 3D, time-dependent modeling software, we derive the properties of the F-star (diameter, limb darkening), determine previously unknown orbital elements ($\Omega$, $i$), and access the global structures of the optically thick portion of the eclipsing disk using both geometric models and approximations of astrophysically relevant density distributions. These models may be useful in future hydrodynamical modeling of the system. Lastly, we address several outstanding research questions including mid-eclipse brightening, possible shrinking of the F-type primary, and any warps or sub-features within the disk.Comment: 105 pages, 57 figures. This is an author-created, un-copyedited version of an article accepted for publication in Astrophysical Journal Supplement Series. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from i

Structures of Ruthenium-modified Pseudomonas aeruginosa Azurin and [Ru(2,2’-bipyridine)_2(imidazole)_2)]SO_4•10H_2O

The crystal structure of Ru(2,2'-bipyridine)_2(imidazole)(His83)azurin (RuAz) has been determined to 2.3 Å ¬resolution by X-ray crystallography. The spectroscopic and thermodynamic properties of both the native protein and [Ru(2,2'-bipyridine)_2(imidazole)_2]^(2+) are maintained in the modified protein. Dark-green RuAz crystals grown from PEG 4000, LiNO_3, CuCl_2 and Tris buffer are monoclinic, belong to the space group C2 and have cell parameters a = 100.6, b = 35.4, c = 74.7 Å and β = 106.5°. In addition, [Ru(2,2'-bipyridine)_2(imidazole)_2]SO_4•10H_2O was synthesized, crystallized and structurally characterized by X-ray crystallography. Red-brown crystals of this complex are monoclinic, space group P2_1/n, unit-cell parameters a = 13.230 (2), b = 18.197 (4), c = 16.126 (4) Å, β = 108.65 (2)°. Stereochemical parameters for the refinement of Ru(2,2'-bipyridine)_2(imidazole)(His83) were taken from the atomic coordinates of [Ru(2,2'-bipyridine)_2(imidazole)_2]^(2+). The structure of RuAz confirms that His83 is the only site of chemical modification and that the native azurin structure is not perturbed significantly by the ruthenium label

Single or Double Degenerate Progenitors? Searching for Shock Emission in the SDSS-II Type Ia Supernovae

From the set of nearly 500 spectroscopically confirmed type~Ia supernovae and around 10,000 unconfirmed candidates from SDSS-II, we select a subset of 108 confirmed SNe Ia with well-observed early-time light curves to search for signatures from shock interaction of the supernova with a companion star. No evidence for shock emission is seen; however, the cadence and photometric noise could hide a weak shock signal. We simulate shocked light curves using SN Ia templates and a simple, Gaussian shock model to emulate the noise properties of the SDSS-II sample and estimate the detectability of the shock interaction signal as a function of shock amplitude, shock width, and shock fraction. We find no direct evidence for shock interaction in the rest-frame $B$-band, but place an upper limit on the shock amplitude at 9% of supernova peak flux ($M_B > -16.6$ mag). If the single degenerate channel dominates type~Ia progenitors, this result constrains the companion stars to be less than about 6 $M_{\odot}$ on the main sequence, and strongly disfavors red giant companions.Comment: 28 pages, 3 figure

In the Shadow of the Transiting Disk: Imaging epsilon Aurigae in Eclipse

Eclipses of the single-line spectroscopic binary star, epsilon Aurigae, provide an opportunity to study the poorly-defined companion. We used the MIRC beam combiner on the CHARA array to create interferometric images during eclipse ingress. Our results demonstrate that the eclipsing body is a dark disk that is opaque and tilted, and therefore exclude alternative models for the system. These data constrain the geometry and masses of the components, providing evidence that the F-star is not a massive supergiant star.Comment: As submitted to Nature. Published in Nature April 8, 2010

Principles and criteria in the development and optimization of topical therapeutic products : Sponsored by the American Association of Pharmaceutical Scientists (AAPS) and U.S. Food and Drug Administration (FDA)

This report derived from the dermatological workshop discusses the problems and issues in the development and optimization of topical therapeutic drug products. It provides a clear understanding and differentiation between transdermal and dermal products. The report also discusses the bioavailability/bioequivalence issues for topical therapeutic products.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/30099/1/0000471.pd

The Grizzly, February 25, 1983

USGA Plans Communication Revision • Foley, D\u27Alesio First Place Winners at Talent Show • College Union Holds Tenth Anniversary • Ritter Production Opens: Skin of Our Teeth • Mass is Popular: Newman Society Links U.C. • Small Heads Alcohol Committee • SPC Seeks Editors • Union Calendar • Grizzly Looks For New Business Manager • Winterfest 1983: International Desserts Festival Tonight • Winterfest Schedule • Letters to the Editor: Admissions Dean Corrects Errors; Hoop Club President Responds; Student Reacts Negatively • Social Life at Ursinus Should be Improved • In the Gates • Registrar Announces Pre-Registration • President\u27s Corner • Roving Reporter: Do You Think the New Alcohol Policy Proposed by the Administration was the Correct Way to Handle the Situations That Occurred on Campus? • Bears Drown Monarchs • Women\u27s Swimming Ends 10-1 • MAC Competition: Wrestlers Take Seventh • Gymnasts Move up a Rank • Lady Hoopsters Finish With Victoryhttps://digitalcommons.ursinus.edu/grizzlynews/1095/thumbnail.jp