scholarly journals FE Analyses of Hyperelastic Solids under Large Bending: The Role of the Searle Parameter and Eulerian Slenderness

Materials ◽  
2020 ◽  
Vol 13 (7) ◽  
pp. 1597
Author(s):  
Federico Oyedeji Falope ◽  
Luca Lanzoni ◽  
Angelo Marcello Tarantino
Keyword(s):  
Theoretical Model ◽  
Cross Sections ◽  
Finite Elasticity ◽  
Bending Moment ◽  
Longitudinal Axis ◽  
Theoretical Formulation ◽  
The Cross ◽  
Finite Bending ◽  
Compactness Index

A theoretical model concerning the finite bending of a prismatic hyperelastic solid has been recently proposed. Such a model provides the 3D kinematics and the stress field, taking into account the anticlastic effects arising in the transverse cross sections also. That model has been used later to extend the Elastica in the framework of finite elasticity. In the present work, Finite Element (FE) analyses of some basic structural systems subjected to finite bending have been carried out and the results have been compared with those provided by the theoretical model performed previously. In the theoretical formulation, the governing equation is the nonlinear local relationship between the bending moment and the curvature of the longitudinal axis of the bent beam. Such a relation has been provided in dimensionless form as a function of the Mooney–Rivlin constitutive constants and two kinematic dimensionless parameters termed Eulerian slenderness and compactness index of the cross section. Such parameters take relevance as they are involved in the well-known Searle parameter for bent solids. Two significant study cases have been investigated in detail. The results point out that the theoretical model leads to reliable results provided that the Eulerian slenderness and the compactness index of the cross sections do not exceed fixed threshold values.

scholarly journals Self-reactions in the HCl+ (DCl+) + HCl system: a state-selective investigation of the role of rotation

2015 ◽  
Vol 17 (25) ◽  
pp. 16454-16461 ◽  
Author(s):  
Till Uhlemann ◽  
Jens Wallauer ◽  
Karl-Michael Weitzel
Keyword(s):  
Cross Sections ◽  
Rotational Velocity ◽  
The Self ◽  
System A ◽  
The Cross

The cross sections for the self-reaction of state-selected HCl+ (DCl+) ions with HCl are shown to depend characteristically on the rotational velocity of the ion relative to that of the neutral.

scholarly journals TO QUESTION OF COMBINED SYSTEMS RATIONALIZATION

2019 ◽  
pp. 97-103
Author(s):  
S. D. SINCHUK
Keyword(s):  
Cross Sections ◽  
Bending Moment ◽  
Variable Number ◽  
Bending Moments ◽  
New Approach ◽  
Present Solution ◽  
Combined Structure ◽  
Optimal Values ◽  
The Cross ◽  
Effective Design

Purpose. Developing a new approach to the rationalization of the combined structure, taking into account constructive, technological, operational and economic requirements. Methodology. The bending moment adjustment method representations to achieve the goal, based on the properties of the thrust-systems, namely: in the combination beam construction cost material defining elements are experiencing stress state of compression with a bend; in cells operating at the bending compression, reducing the size of the cross section largely determined by the decrease of the bending moment; bending moments increase from the support to the middle of the span. Originality. On the basis of calculations using the methodology set forth above, the algorithm of optimal design of truss beams under the influence of permanent and temporary load. The present solution allows to obtain an effective design combined with a variable number of racks, depending on the required span length, corresponding to the received optimality criterion. Practical value. The use of this approach and the optimization algorithm based on the use of the design features of truss beams and requires minimization of bending moments, will significantly reduce the complexity of the calculation, as well as to find the optimal values of the cross sections for each case.

Contact-Free Micropipe Reactions in Silicon Carbide

2013 ◽  
Vol 740-742 ◽  
pp. 597-600
Author(s):  
Alexander G. Sheinerman ◽  
Mikhail Yu. Gutkin ◽  
Tatiana S. Argunova ◽  
Evgeniy N. Mokhov ◽  
Sergey N. Nagaluyk ◽  
...  
Keyword(s):  
Silicon Carbide ◽  
Theoretical Model ◽  
Experimental Evidence ◽  
Cross Sections ◽  
Main Idea ◽  
Growth Direction ◽  
The Cross ◽  
Contact Free ◽  
Full Core

We discuss a correlated reduction in the cross sections of two neighboring micropipes (MPs) along their axes (generally parallel to the growth direction). Such variations in MP cross sections can lead to MP healing. We provide experimental evidence of this effect and discuss its reasons and a possible mechanism. Our main idea is that MPs can remotely interact with each other by the exchange of full-core dislocations. We propose a theoretical model describing the energetics of this process.

scholarly journals Bending Resistance of Composite Sections with Nonductile Shear Connectors and Partial Shear Connection

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Svetlana M. Kostic ◽  
Biljana Deretic-Stojanovic
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Bending Moment ◽  
Nonlinear Material ◽  
Parameter Study ◽  
Shear Connectors ◽  
Shear Connection ◽  
The Cross ◽  
Section Analysis ◽  
Composite Steel

The paper presents the nonlinear section analysis for composite steel-concrete beams with different degrees of shear connection. The analysis is fiber based, i.e., integration over the cross section is performed numerically, and any uniaxial nonlinear material model can be assigned to the steel and concrete parts of the cross section or to the reinforcement bars. The analysis assumed full interaction between steel and concrete and therefore, is suitable for analysis of composite steel-concrete beam cross sections with nonductile shear connectors. Its accuracy is verified on few experimental results. The presented section analysis is used in the parameter study in order to evaluate different methods proposed by design codes for determining the bending moment resistance of composite cross sections with nonductile shear connectors and different degrees of shear connection. The following effects are considered: variation of concrete and steel material models, presence of slab reinforcement, and creep of concrete. Special attention is paid on two different constructional methods: propped and unpropped. The weaknesses of the simplified design method in determining bending moment resistance are identified and recommendations for practical design analysis are formulated.

Fragment mass identification and related aspects in the decay of 40Ca* and 39K* nuclei

2014 ◽  
Vol 23 (10) ◽  
pp. 1450063 ◽  
Author(s):  
Gurvinder Kaur ◽  
Manoj K. Sharma
Keyword(s):  
Cross Sections ◽  
Entrance Channel ◽  
Cluster Decay ◽  
Channel Effects ◽  
Nice Agreement ◽  
The Cross ◽  
Fragmentation Potential ◽  
First Time ◽  
Mass Identification

The dynamics involved in the decay of light mass nuclei formed in asymmetric channels 12 C + 28 Si , 11 B + 28 Si and 12 C + 27 Al have been investigated using the dynamical cluster-decay model (DCM). In reference to the experimentally measured charge particle cross-sections, the fragment masses contributing towards the decay of 40 Ca * and 39 K * nuclei have been identified using spherical choice of fragmentation. Also, the role of entrance channel has been investigated by studying the decay of 39 K * nuclear system formed in two different reactions at same excitation energy. The behavior of fragmentation potential, preformation probability, penetrability and emission time, is analyzed to figure out the favorable mass fragments, their relative emergence and the entrance channel effects observed in the decay of light mass nuclei. In addition to this, the cross-sections for the light particles (LPs) and heavier charge fragments have been estimated for the compound nucleus (CN) decay. Besides this, one of the noncompound nucleus (nCN) process, deep inelastic collision (DIC) has been addressed in context of DCM approach for the first time. The cross-sections obtained in framework of DCM for both CN and nCN processes are found to have nice agreement with the available experimental data.

Taylor Cylinder Testing of Anisotropic Materials

2012 ◽  
Author(s):  
Jennifer M. Conway ◽  
Kory T. O’Brien ◽  
Mark E. Barkey ◽  
Stanley E. Jones
Keyword(s):  
Cross Sections ◽  
Dynamic Stress ◽  
Dynamic Strength ◽  
Longitudinal Axis ◽  
Rolling Process ◽  
Rolled Plate ◽  
One Dimensional ◽  
Rate Dependent ◽  
Dependent Theory ◽  
The Cross

Frequently, Taylor cylinder specimens are fabricated from rolled plate stock. The rolling process induces an anisotropic response in the cylinder upon impact. If the rolling and transverse directions can be clearly identified, then it is possible to fabricate the cylinders so that the longitudinal axis of the cylinder is aligned with either direction. The response of specimens fabricated in this way is reasonably uniform, in spite of the fact that the cross sections have an elliptical geometry. Earlier work [1] provided a modified one-dimensional analysis with which data can be reduced from anisotropic cylinder tests and dynamic stress estimates can be made. The purpose of this paper is to report the results of tests performed on specimens taken from rolled copper. The results show that the cross sections of the specimens are clearly uniform ellipses with the major and minor axes of the ellipse roughly constant along the shaft. Very satisfactory estimates of dynamic strength using a modified one-dimensional, strain rate dependent theory may then be made. Fabrication of cylinders from the plates that are not axially aligned to the rolling or transverse directions permits testing of the theory by comparing simulations of the response to actual impacts.

scholarly journals Dissociative Attachment Studies of Halogen-containing Molecules: Problems, Applications and Challenges

1996 ◽  
Vol 49 (2) ◽  
pp. 403 ◽  
Author(s):  
PD Burrow ◽  
GA Gallup ◽  
II Fabrikant ◽  
KD Jordan
Keyword(s):  
Electron Transfer ◽  
Gas Phase ◽  
Cross Sections ◽  
Halogen Atom ◽  
Intramolecular Electron Transfer ◽  
Dissociative Attachment ◽  
Molecular Physics ◽  
The Cross ◽  
Atomic And Molecular Physics

The dissociative attachment (DA) process appears in a surprisingly diverse number of research disciplines. Although gas phase studies have been carried out for approximately 30 years, there are no calculations of the cross sections for this process in molecules larger than diatomics. In this presentation, we review briefly the role of DA in several contexts generally unfamiliar to workers in atomic and molecular physics, and touch on some of the theoretical difficulties. We continue with a discussion of our work, both experimental and theoretical, on compounds containing a single halogen atom and conclude with results showing how the DA process can be used to study intramolecular electron transfer.

Oxygen K near edge structures studied with multiple scattering calculations

1988 ◽  
Vol 46 ◽  
pp. 504-505
Author(s):  
Xudong Weng ◽  
Peter Rez
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Partial Cross Section ◽  
Energy Window ◽  
Edge Structure ◽  
Fine Structures ◽  
Hydrogenic Model ◽  
Electron Energy Loss ◽  
Quantitative Chemical

In electron energy loss spectroscopy, quantitative chemical microanalysis is performed by comparison of the intensity under a specific inner shell edge with the corresponding partial cross section. There are two commonly used models for calculations of atomic partial cross sections, the hydrogenic model and the Hartree-Slater model. Partial cross sections could also be measured from standards of known compositions. These partial cross sections are complicated by variations in the edge shapes, such as the near edge structure (ELNES) and extended fine structures (ELEXFS). The role of these solid state effects in the partial cross sections, and the transferability of the partial cross sections from material to material, has yet to be fully explored. In this work, we consider the oxygen K edge in several oxides as oxygen is present in many materials. Since the energy window of interest is in the range of 20-100 eV, we limit ourselves to the near edge structures.

Maintaining harmony across the globe: The cross-cultural role of closeness in interpersonal forgiveness

2011 ◽  
Author(s):  
Johan Karremans ◽  
Camillo Regalia ◽  
Giorgia Paleari ◽  
Frank Fincham ◽  
Ming Cui ◽  
...  
Keyword(s):  
Cross Cultural ◽  
Interpersonal Forgiveness ◽  
The Cross ◽  
Cultural Role

The cross sections for different channels in heavy ion nuclear reactions

1971 ◽  
Vol 32 (1) ◽  
pp. 7-9 ◽  
Author(s):  
J. Galin ◽  
D. Guerreau ◽  
M. Lefort ◽  
X. Tarrago
Keyword(s):  
Cross Sections ◽  
Nuclear Reactions ◽  
Heavy Ion ◽  
The Cross
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