Modified crack closure integral technique for extraction of SIFs in meshfee methods

A new approach for extracting stress intensity factors (SIFs) by the element-free Galerkin (EFG) class of methods through a modified crack closure integral (MCCI) scheme is proposed. Its primary feature is that it allows accurate calculation of mode I and mode II SIFs with a relatively simple and straightforward analysis even when a coarser nodal density is employed. The details of the adoption of the MCCI technique in the EFG method are described. Its performance is demonstrated through a number of case studies including mixed-mode and thermal problems in linear elastic fracture mechanics (LEFM). The results are compared with published theoretical solutions and those based on the displacement method, stress method, crack closure integral in conjunction with local smoothing (CCI–LS) technique, as well as the M-integral method. Its advantages are discussed.

'O daughter ... forget your people and your father's house': Early Modern Women Writers and the Spanish Imaginary

‘O daughter … forget your people and your father’s house’: Early Modern Women Writers and the Spanish ImaginaryAnne Holloway and Ramona WrayHolloway and Wray consider the perspectives offered by two very different seventeenth-century women (Mary Bonaventure Browne, or Mother Browne (b.1615- and Lady Ann Fanshawe (b.1625) both of whom exchanged Ireland for Spain, and both of whom record journeys both ‘real’ and imagined in their writings. Browne’s deployment of hagiographical tropes in her History of the Poor Clares may reveal the potential impact of Iberian conventual culture; her allusions to the markers of sanctity insistent on the immutability of the body, whilst accepting and anticipating spectral presence in the form of bilocation. Fanshawe’s Memoirs are considered alongside the material legacy of her ‘Booke of Receipts of Physickes, Salues, Waters, Cordialls, Preserues and Cookery.’ Her impressions both in transit and within the domus are similarly marked by receptivity and sensitivity to the host culture. Amidst a backdrop of religious persecution and political uncertainty, in both cases Spain emerges as a potentially enabling context for creativity and self-expression.Keywords: Memoir; Franciscan; Poor Clares; Fanshawe; Mary Bonaventure Browne; hagiography; life-writing; autobiography, women writers

Chemistry and Distribution of Daughter Species in the Circumstellar Envelopes of O-Rich AGB Stars

Context. Thanks to the advent of Herschel and ALMA, new high-quality observations of molecules present in the circumstellar envelopes of asymptotic giant branch (AGB) stars are being reported that reveal large differences from the existing chemical models. New molecular data and more comprehensive models of the chemistry in circumstellar envelopes are now available.
Aims: The aims are to determine and study the important formation and destruction pathways in the envelopes of O-rich AGB stars and to provide more reliable predictions of abundances, column densities, and radial distributions for potentially detectable species with physical conditions applicable to the envelope surrounding IK Tau.
Methods: We use a large gas-phase chemical model of an AGB envelope including the effects of CO and N2 self-shielding in a spherical geometry and a newly compiled list of inner-circumstellar envelope parent species derived from detailed modeling and observations. We trace the dominant chemistry in the expanding envelope and investigate the chemistry as a probe for the physics of the AGB phase by studying variations of abundances with mass-loss rates and expansion velocities.
Results: We find a pattern of daughter molecules forming from the photodissociation products of parent species with contributions from ion-neutral abstraction and dissociative recombination. The chemistry in the outer zones differs from that in traditional PDRs in that photoionization of daughter species plays a significant role. With the proper treatment of self-shielding, the N → N2 and C+→ CO transitions are shifted outward by factors of 7 and 2, respectively, compared with earlier models. An upper limit on the abundance of CH4 as a parent species of (≲2.5 × 10-6 with respect to H2) is found for IK Tau, and several potentially observable molecules with relatively simple chemical links to other parent species are determined. The assumed stellar mass-loss rate, in particular, has an impact on the calculated abundances of cations and the peak-abundance radius of both cations and neutrals: as the mass-loss rate increases, the peak abundance of cations generally decreases and the peak-abundance radius of all species moves outwards. The effects of varying the envelope expansion velocity and cosmic-ray ionization rate are not as significant.

Element-Free Galerkin Modelling of Crack Migration in Composite Laminates

The development of a virtual testing environment, as a cost-effective industrial design tool in the design and analysis of composite structures, requires the need to create models efficiently, as well as accelerate the analysis by reducing the number of degrees of freedom, while still satisfying the need for accurately tracking the evolution of a debond, delamination or crack front. The eventual aim is to simulate both damage initiation and propagation in components with realistic geometrical features, where crack propagation paths are not trivial. Meshless approaches, and the Element-Free Galerkin (EFG) method, are particularly suitable for problems involving changes in topology and have been successfully applied to simulate damage in homogeneous materials and concrete. In this work, the method is utilized to model initiation and mixed-mode propagation of cracks in composite laminates, and to simulate experimentally-observed crack migration which is difficult to model using standard finite element analysis. N

Mode III interlaminar fracture of carbon/epoxy laminates using the edge crack torsion (ECT) test

The mode III interlaminar fracture of carbon/epoxy laminates was evaluated with the edge crack torsion (ECT) test. Three-dimensional finite element analyses were performed in order to select two specimen geometries and an experimental data reduction scheme. Test results showed considerable non-linearity before the maximum load point and a significant R-curve effect. These features prevented an accurate definition of the initiation point. Nevertheless, analyses of non-linearity zones showed two likely initiation points corresponding to GIIIc values between 850 and 1100 J/m2 for both specimen geometries. Although any of these values is realistic, the range is too broad, thus showing the limitations of the ECT test and the need for further research.

Lois Chapman, daughter of Frank M. Chapman, Jr.

Studio portrait of Lois Chapman, daughter of Frank M. Chapman, Jr., San Bernardino, California, ca. 1915.

Victoria Chapman [Olear], daughter of Grant Keyes Chapman

Victoria Chapman [Olear], daughter of Grant Keyes Chapman, ca. 1957.

Charles C. and Lizzie Chapman with daughter Ethel, Chicago, Illinois

Charles C. Chapman and his wife, Lizzie Pearson Chapman, with baby daughter Ethel in a hammock, Chicago, Illinois, ca. 1885.

Charles C. Chapman with his daughter Ethel and son Stanley, ca. 1905.

Remnant of a portrait photograph of Charles C. Chapman with his daughter Ethel and son Stanley, ca. 1905.

Letter - Col. Frank C. McCordick to daughter Doris

A letter from Col. Frank C. McCordick to his daughter, no date is provided, but it is sometime shortly after Christmas. He asks about Christmas gifts and mentions items he has sent her from Christmas.

Photograph - Hamilton Killaly Woodruff and daughter Margaret

A photograph of Hamilton Killaly Woodruff and daughter Margaret. They are standing together as he holds a neswpaper by his side in front of a stone house.

Letter to Robert Nelles from his daughter Margaret Pilkington

Letter to Robert Nelles from his daughter Margaret Pilkington (2 ½ pages, handwritten). She talks about her brother’s letter of Nov. 9th and she mentions an article that was in the newspaper about immortal heroes of Upper Canada. She also congratulates Robert on his late appointment, Nov. 14, 1814.

Letter to Robert Nelles from his daughter Margaret Pilkington

Letter to Robert Nelles from his daughter Margaret Pilkington (3 pages, handwritten) in which she introduces her father to Dr. Pilkington formerly of the 19th Light Dragoons. Dr. Pilkington has some idea of settling in Upper Canada. She concludes the letter by saying that Doctor Pilkington has given up the idea of settling in Upper Canada. The first part of the letter is dated Feb. 24, 1816 and the second half, Feb. 24, 1816.