scholarly journals A Symplectic Analytical Singular Element for Steady-State Thermal Conduction With Singularities in Anisotropic Material

2018 ◽  
Vol 140 (9) ◽  
Author(s):  
X. F. Hu ◽  
W. A. Yao ◽  
S. T. Yang

Modeling of steady-state thermal conduction for crack and v-notch in anisotropic material remains challenging. Conventional numerical methods could bring significant error and the analytical solution should be used to improve the accuracy. In this study, crack and v-notch in anisotropic material are studied. The analytical symplectic eigen solutions are obtained for the first time and used to construct a new symplectic analytical singular element (SASE). The shape functions of the SASE are defined by the obtained eigen solutions (including higher order terms), hence the temperature as well as heat flux fields around the crack/notch tip can be described accurately. The formulation of the stiffness matrix of the SASE is then derived based on a variational principle with two kinds of variables. The nodal variable is transformed into temperature such that the proposed SASE can be connected with conventional finite elements (FE) directly without transition element. Structures of complex geometries and complicated boundary conditions can be analyzed numerically. The generalized flux intensity factors (GFIFs) can be calculated directly without any postprocessing. A few numerical examples are worked out and it is proven that the proposed method is effective for the discussed problem, and the structure can be analyzed accurately and efficiently.

2019 ◽  
pp. 23-40
Author(s):  
Stephen A. Crist

This chapter concerns the internationalization of the Dave Brubeck Quartet. After several years of preliminary discussions, in 1958 the group finally traveled abroad for the first time, on a three-month trip, largely under the auspices of the US State Department. By this time, the Quartet’s personnel finally reached a steady state, after a series of different bass players and drummers. The “classic” Quartet was the group of musicians who recorded Time Out the next year. Around the same time, Brubeck became increasingly involved with issues of civil rights. The Quartet also made history in the late 1950s by performing jazz in concert halls and on college campuses. Finally, Dave and Iola Brubeck devoted themselves tirelessly to the creation and promotion of The Real Ambassadors, a musical that they hoped would be produced on Broadway.


2020 ◽  
Vol 12 (06) ◽  
pp. 2050065
Author(s):  
Yan Guo ◽  
Yanan Jiang ◽  
Ji Wang ◽  
Bin Huang

In this study, 3D thermal stresses in composite laminates under steady-state through thickness thermal conduction are investigated by means of a stress function-based approach. One-dimensional thermal conduction is solved for composite laminate and the layerwise temperature distribution is calculated first. The principle of complementary virtual work is employed to develop the governing equations. Their solutions are obtained by using the stress function-based approach, where the stress functions are taken from the Lekhnitskii stress functions in terms of in-plane stress functions and out-of-plane stress functions. With the Rayleigh–Ritz method, the stress fields can be solved by first solving a standard eigenvalue problem. The proposed method is not merely computationally efficient and accurate. The stress fields also strictly satisfy the prescribed boundary conditions validated by the results of finite element method (FEM) results. Finally, some of the results will be given for discussion considering different layup stacking sequences, thermal conductivities and overall temperature differences. From the results, we find that the thermal conductivity greatly affects the stress distributions and peak values of stresses increase linearly for the present model. The proposed method can be used for predicting 3D thermal stresses in composite laminates when subjected to thermal loading.


2003 ◽  
Vol 198 (6) ◽  
pp. 957-962 ◽  
Author(s):  
Helen E. Porritt ◽  
Kristie Gordon ◽  
Howard T. Petrie

Upon thymus entry, thymic-homing progenitors undergo distinct phases of differentiation as they migrate through the cortex to the capsule, suggesting that the signals that induce these differentiation steps may be stratified in corresponding cortical regions. To better define these regions, we transplanted purified stem cells into nonirradiated congenic recipients and followed their differentiation with respect to both tissue location and time. The earliest progenitors (DN1) remained confined to a very narrow region of the cortex for about the first 10 d of intrathymic residence; this region virtually overlaps the sites of thymic entry, suggesting that DN1 cells move very little during this lengthy period of proliferation and lineage commitment. Movement out of this region into the deeper cortex is asynchronous, and corresponds to the appearance of DN2 cells. Differentiation to the DN3 stage correlates with movement across the midpoint of the cortex, indicating that stromal signals that induce functions such as TCR gene rearrangement reside mainly in the outer half of the cortex. The minimum time to reach the capsule, and thus transit to the DP stage, is ∼13 d, with the average time a few days longer. These findings reveal for the first time the kinetics of steady-state progenitor differentiation in the thymus, as well as defining the boundaries of cortical regions that support different phases of the differentiation process. We also show that the first lineage-positive progeny of transplanted stem cells to appear in the thymus are dendritic cells in the medulla, suggesting that each new wave of new T cell production is preceded by a wave of regulatory cells that home to the medulla and ensure efficient tolerance and selection.


Blood ◽  
2010 ◽  
Vol 116 (21) ◽  
pp. 2672-2672
Author(s):  
Scott I Simon ◽  
Shannon Chase ◽  
Sandra K Larkin ◽  
Frans Kuypers ◽  
Lori Styles ◽  
...  

Abstract Abstract 2672 It is hypothesized that activated leukocytes play key roles in sickle cell vaso-occlusion by adhering to inflamed venules and capturing circulating platelets and sickle red blood cells. GMI-1070 is a small molecule selectin antagonist which was recently reported to reverse acute vascular occlusion in a humanized sickle cell disease (SCD) mouse model (Chang et al, Blood 2010) presumably by inhibiting E-selectin and its effects on downstream signaling of leukocyte activation. Sickle cell patients express elevated levels of soluble E-selectin (Kato et al, Brit J Haem 2005) activated polymorphonuclear neutrophils (PMN) (Lum et al Amer J Hem 2004) and platelet/monocyte aggregates (PMA) (Wun et al Clin Lab Haem 2002). In this study, the activation state of leukocytes from whole blood samples of sickle cell patients not in crisis before and after infusion of GMI-1070 was evaluated ex vivo. Isolated PMN from normal, healthy volunteers were strongly activated by binding soluble E-selectin/hIg in vitro as determined by a 7-fold increase of the integrin MAC1 (CD11b) and an 8-fold increase in expression of the high affinity form of CD18 detected by antibody 327C. Addition of GMI-1070 completely blocked upregulation of MAC1 and 327C at 50μg/ml and showed pronounced inhibition (79% MAC1; 75% 327C) at 10μg/ml. These in vitro concentrations are consistent with blood levels of GMI-1070 found in sickle cell patients 4 and 8 hours after dosing. A phase 1/2 study was conducted on 10 adult subjects with SCD at steady state. GMI-1070 was given IV at 20mg/kg as a loading dose and at 10 hours a final dose of 10mg/kg was given. Blood samples were drawn from these adults pre-infusion and at 8, 24, and 48 hours after the initial infusion. In some subjects, a blood sample was also drawn at 4 hours post infusion. Activation of PMN's in whole blood samples from subjects was assessed by upregulation of MAC-1, expression of the high affinity CD18 and the loss of CD62L due to shedding of L-selectin determined by flow cytometric analysis of cell surface labeling with fluorescently conjugated antibodies. Of 4 subjects tested, 3 showed increased surface expression of L-selectin, 3 showed decreased expression of MAC-1, and 2 showed decreased expression of high affinity CD11b at the first time point tested (4 or 8hr) after dosing with GMI-1070 suggesting an inhibition of PMN activation in these patients. A functional consequence of monocyte activation is the formation of platelet/monocyte aggregates due to expression of high affinity integrins. Platelet-monocytes aggregates (PMA) in blood were detected using anti-CD11c for monocytes and anti-CD41a for platelets. Treatment of samples with lipopolysaccharide (LPS) was used for positive controls. Intracellular IL-1β was used as a marker of activated monocytes. In 5 patients out of 6 tested with this assay, PMA in the subject's blood were decreased at the first time point after dosing (8hr). These results are consistent with an effect of GMI-1070 on inhibition of activation given its IC50 value for E-selectin (4.3μM), the blood concentration in subjects after dosing, and the serum half life (7.7hr) in steady state sickle cell adults. Conclusions: GMI-1070 significantly inhibited E-selectin-mediated activation of PMNs in vitro as determined by expression of the integrin MAC-1 and high affinity CD18 at 10μg/ml. Similar concentrations of GMI-1070 in sickle cell subjects' blood at 4 and 8 hours after dosing also resulted in a lowered activation state of PMNs identified by reduced expression of cell surface integrin molecules as well as the inhibition of shedding of L-selectin in some cases. A more functional measure of leukocyte activation is the aggregation of platelets on monocyte cell surfaces. In 5 of 6 subjects tested, GMI-1070 reduced PMA 8 hours after dosing. Thus, GMI-1070 not only inhibits E-selectin, but also blocks the expression of downstream integrin adhesion molecules that together play crucial roles in vaso-occlusion by promoting the adhesion to platelets and erythrocytes in the formation of occlusions that block blood flow. The effects of GMI-1070 on the activation state of leukocytes via the inhibition of functional adhesion molecules in steady state sickle cell subjects supports the further evaluation of treatment with GMI-1070 during vaso-occlusive episodes. Disclosures: Simon: GlycoMimetics: Research Funding. Chase:GlycoMimetics:.Kuypers:GlycoMimetics Inc.: Research Funding. Styles:GlycoMimetics: Consultancy, clinical trial sponsorship. Wun:GlycoMimetics Inc.: Consultancy, clinical trial sponsorship. Thackray:GlycoMimetics: Employment, Equity Ownership. Magnani:GlycoMimetics: Employment, Equity Ownership. Off Label Use: The drug (GMI-1070) is not approved for any clinical indication.


1992 ◽  
Vol 7 (8) ◽  
pp. 1987-1989 ◽  
Author(s):  
L.M. Fabietti ◽  
J.A. Sekhar

First time experimental evidence is presented for the steady state growth of dendrites away from their normal crystallographic growth directions. The evidence is shown for transparent dendrites in the succinonitrile system, which are induced to grow along wetting surfaces. A method for the quantitative characterization of the tips of such dendrites is described and the differences in the secondary arm formation between off-axis and regular dendrites are recorded. The scientific and technological implications of this finding are examined.


2018 ◽  
Vol 140 (8) ◽  
Author(s):  
Patricio F. Mendez ◽  
Yi Lu ◽  
Ying Wang

This paper presents a systematic scaling analysis of the point heat source in steady-state on a semi-infinite solid. It is shown that all characteristic values related to an isotherm can be reduced to a dimensionless expression dependent only on the Rykalin number (Ry). The maximum width of an isotherm and its location are determined for the first time in explicit form for the whole range of Ry, with an error below 2% from the exact solution. The methodology employed involves normalization, dimensional analysis, asymptotic analysis, and blending techniques. The expressions developed can be calculated using a handheld calculator or a basic spreadsheet to estimate, for example, the width of a weld or the size of zone affected by the heat source in a number of processes. These expressions are also useful to verify numerical models.


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