Statics of conjugate rotation hulls

AbstractThe elastic fields in an elastic circular inclusion and its surrounding infinite dissimilar elastic matrix, are determined when either the matrix or inclusion is subject to a concentrated force or edge dislocation.

On the kinematics of a concave sidecut line deformed on a flat surface

Acta Mechanica ◽

10.1007/s00707-021-03080-8 ◽

2021 ◽

Author(s):

Benoit Caillaud ◽

Johannes Gerstmayr

Keyword(s):

Finite Element ◽

Analytical Model ◽

Flat Surface ◽

Static Equilibrium ◽

Elastic Structure ◽

Rigid Surface ◽

Concentrated Loads ◽

Concentrated Force ◽

Contact Behaviour ◽

Deformed State

AbstractThe present paper investigates the static equilibrium of a thin elastic structure with concave sidecut pressed against a flat rigid surface, as an idealization of a ski or snowboard undergoing the conditions of a carved turn. An analytical model is derived to represent the contact behaviour and provide an explanation for concentrated loads occurring at the sidecut extremities. The deformations are prescribed assuming tied contact along the sidecut line and neglecting torsional deformations. The loading conditions leading to this ideal deformed state are then sought, in order to better understand the mechanics of the turn. The results are illustrated with different sidecut geometries and compared with finite element computations for validation purposes. Depending on the function describing the sidecut line, concentrated force and moment are found to take place at the sidecut extremities.

Asymptotic research of deformations and stresses of the ring that sustains the seam of elliptic bottom and conic shell

Researches in Mathematics ◽

10.15421/247736 ◽

2021 ◽

pp. 153

Author(s):

B.N. Yakovlev

Keyword(s):

Elastic System ◽

Circular Ring ◽

Arbitrary Load ◽

Conic Shell ◽

Deformed State ◽

Angle Of Rotation

In the paper, we consider stress-deformed state of elastic system that consists of the elliptic bottom, the ring, and the conic shell. The ring is under arbitrary load, which acts in its plane.On the base of the principal differential dependencies of design of the planar circular ring, we obtain the expressions for tensions, momentum, and the angle of rotation of lateral section.

Computer Simulation of the Direct Pressing Process Through Various Matrix Funnel Profiles

Central Ukrainian Scientific Bulletin. Technical Sciences ◽

10.32515/2664-262x.2020.3(34).3-11 ◽

2020 ◽

pp. 3-11

Author(s):

Sviatskyi Volodymyr ◽

◽

Oleksandr Skrypnyk ◽

Serhii Kononchuk ◽

◽

...

Keyword(s):

Computer Simulation ◽

Slip Line ◽

Single Point ◽

Metal Flow ◽

Point Of View ◽

Pressing Process ◽

The Matrix ◽

Deformed State ◽

Direct Pressing ◽

Deform 2D

The stressed and deformed state of the metal and the dimensions of the center of deformation during pressing depend significantly on the design of the tool and, in particular, on the shape of the matrix funnel. However, there is still no single point of view on the influence of the geometry of the deformation center on the energy forces of the metal pressing process. Based on the analysis of the field of slip lines of the steady-state stage of pressing through a symmetric single-point matrix, it is proposed to use the profile of the matrix funnel made along the slip line separating the elastic and plastic zones. The following types of matrix funnel profiles were investigated using computer simulation of direct extrusion of lead samples with a drawing value 81 at a speed of 1 mm/s: cycloid concave; convex; the second convex, which is built on the logarithmic dependence; conical and concave, which is built along a sliding line that separates the elastic zones from the plastic in the pressing process. The results of theoretical studies, computer simulations of the direct pressing process using the Deform 2D/3D software package, and experimental experiments have shown that optimal energy-power conditions are achieved by pressing through a matrix that has a profile made along the slip line. The results of the experimental study of the kinetics of the flow of the discrete medium showed that the shape of the matrix funnel influences the size of the deformation center and the distribution of the resulting deformation in the molding. From the analysis of deformation of the granules, it is determined that the concave funnel, built along the slip line, is characterized by a curvature of the axisymmetric particles in the direction of deformation. These curvatures decrease as the granules move to the axis of symmetry of the matrix. It is noted that for a convex funnel, the length of the deformation center is greatest; for a conical metal flow is close to the radial in the direction of the truncated cones.

Estimation of stressed-deformed state of polymer composite material with hybrid matrix

All the materials Encyclopedic Reference Book ◽

10.31044/1994-6260-2021-0-9-2-7 ◽

2021 ◽

Vol 0 (9) ◽

pp. 2-7

Author(s):

E. A. Kosenko ◽

◽

V. A. Nelyub ◽

Keyword(s):

Composite Material ◽

Polymer Composite ◽

Element Model ◽

Polymer Composite Material ◽

Silicon Matrix ◽

Organic Silicon ◽

The Matrix ◽

Deformed State ◽

Plastic Components ◽

Elastic Characteristics

Properties of polymer composite material consisting of carbon fabric and two matrix types (epoxy and organic-silicon) have been studied. The main purpose of the organic-silicon matrix is to relax stresses arising in carbon-filled plastic components under loads and to decelerate (or stop) crack growth. The structure of the composite material was determined by using a tomography. On the basis of the structure, a finite-element model was developed and a calculation of the stressed-deformed state depending on elastic characteristics of the matrix was performed. A safety factor calculation was made. It was found out that the addition of organic-silicon material in the composite composition made possible to decrease stress values in the crack tip that considerably increased the service life of such materials.

PUNCHING CUPS WITH BOTTOM FLANGE BY DIRECT EXTRUSION WITH COUNTER-PUNCH. DETERMINATION OF THE DEFORMED STATE DURING CONSTRAINED EXTRUSION IN THE FIRST PERIPHERAL REGION OF PLASTIC DEFORMATION

Spravochnik Inzhenernyi zhurnal ◽

10.14489/hb.supp.2020.09.pp.010-015 ◽

2020 ◽

pp. 10-15 ◽

Cited By ~ 3

Author(s):

A. L. Vorontsov ◽

I. A. Nikiforov

Keyword(s):

Plastic Deformation ◽

Plastic Flow ◽

Peripheral Region ◽

Bottom Flange ◽

Direct Extrusion ◽

The Matrix ◽

Deformed State ◽

General Method

The formulas necessary for calculating the accumulated deformations obtained in the process of constrained extrusion of the peripheral region adjacent to the matrix are obtained. To derive the formulas, the general method of plastic flow A. L. Vorontsova. The obtained formulas allow us to determine the deformed state of the workpiece at any point in this area. Further, these formulas will be used to take into account the hardening of the extruded material.

Theoretical and Numerical Solution of Deflection of the Circular Ring under a Concentrated Force

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.690-693.1919 ◽

2013 ◽

Vol 690-693 ◽

pp. 1919-1922

Author(s):

Xiao Zeng Wang

Keyword(s):

Numerical Analysis ◽

Numerical Model ◽

Numerical Solution ◽

Linear Function ◽

Equivalent Stress ◽

Circular Ring ◽

Theoretical Solution ◽

Concentrated Force ◽

Eccentric Ring

A circular ring is often used in the engineering. There are many applications in the tunnels, subways, and down hole. The purpose of this paper is to obtain the theoretical and numerical solution of the deflection of the circular ring under action of a concentrated force. Adopting the method of numerical analysis and Castigliano’s theory, the max deflection and the 4th equivalent stress of ring are developed. The results of the research indicate that the deflection of ring is the linear function of the concentrated force which is in accord with the elasticity body assumptions, that is Hook’s law. The theoretical solution of the deflection of ring is almost the same as the numerical one of the ring. So it is feasible that the numerical model of the ring is used to analyze the deflection of the eccentric ring.

Crystalloid Inclusions in Hepatocyte Mitochondria and Their Similarity to Cytoplasmic Crystalloids

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100051001 ◽

1974 ◽

Vol 32 ◽

pp. 198-199

Author(s):

Odell T. Minick ◽

Hidejiro Yokoo

Keyword(s):

Liver Disease ◽

Alcoholic Liver Disease ◽

Special Interest ◽

Structural Variations ◽

Mitochondrial Alterations ◽

The Matrix ◽

Crystalloid Inclusions ◽

Liver Biopsies

Mitochondrial alterations were studied in 25 liver biopsies from patients with alcoholic liver disease. Of special interest were the morphologic resemblance of certain fine structural variations in mitochondria and crystalloid inclusions. Four types of alterations within mitochondria were found that seemed to relate to cytoplasmic crystalloids.Type 1 alteration consisted of localized groups of cristae, usually oriented in the long direction of the organelle (Fig. 1A). In this plane they appeared serrated at the periphery with blind endings in the matrix. Other sections revealed a system of equally-spaced diagonal lines lengthwise in the mitochondrion with cristae protruding from both ends (Fig. 1B). Profiles of this inclusion were not unlike tangential cuts of a crystalloid structure frequently seen in enlarged mitochondria described below.

Coherency loss in γ' precipitates in nickel-base superalloy

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100075014 ◽

1983 ◽

Vol 41 ◽

pp. 244-245

Author(s):

R. A. Ricks ◽

Angus J. Porter

Keyword(s):

Lattice Mismatch ◽

Lattice Parameter ◽

Nickel Base Superalloy ◽

Large Size ◽

The Matrix ◽

Nimonic 80A ◽

Interfacial Dislocations ◽

Nickel Base ◽

Coherency Loss ◽

Nimonic 115

During a recent investigation concerning the growth of γ' precipitates in nickel-base superalloys it was observed that the sign of the lattice mismatch between the coherent particles and the matrix (γ) was important in determining the ease with which matrix dislocations could be incorporated into the interface to relieve coherency strains. Thus alloys with a negative misfit (ie. the γ' lattice parameter was smaller than the matrix) could lose coherency easily and γ/γ' interfaces would exhibit regularly spaced networks of dislocations, as shown in figure 1 for the case of Nimonic 115 (misfit = -0.15%). In contrast, γ' particles in alloys with a positive misfit could grow to a large size and not show any such dislocation arrangements in the interface, thus indicating that coherency had not been lost. Figure 2 depicts a large γ' precipitate in Nimonic 80A (misfit = +0.32%) showing few interfacial dislocations.

Influence of Heat Treatments on Microstructures in an Fe-Co-V Alloy

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100052572 ◽

1974 ◽

Vol 32 ◽

pp. 512-513

Author(s):

S. Mahajan ◽

M. R. Pinnel ◽

J. E. Bennett

Keyword(s):

Single Phase ◽

Alloy Composition ◽

Supersaturated Solid Solution ◽

Cell Formation ◽

Heat Treatments ◽

Air Cooling ◽

Iced Brine ◽

Transmission Electron ◽

The Matrix ◽

Bcc Structure

The microstructural changes in an Fe-Co-V alloy (composition by wt.%: 2.97 V, 48.70 Co, 47.34 Fe and balance impurities, such as C, P and Ni) resulting from different heat treatments have been evaluated by optical metallography and transmission electron microscopy. Results indicate that, on air cooling or quenching into iced-brine from the high temperature single phase ϒ (fcc) field, vanadium can be retained in a supersaturated solid solution (α2) which has bcc structure. For the range of cooling rates employed, a portion of the material appears to undergo the γ-α2 transformation massively and the remainder martensitically. Figure 1 shows dislocation topology in a region that may have transformed martensitically. Dislocations are homogeneously distributed throughout the matrix, and there is no evidence for cell formation. The majority of the dislocations project along the projections of <111> vectors onto the (111) plane, implying that they are predominantly of screw character.