scholarly journals General continuum clockwork

2018 ◽  
Vol 2018 (7) ◽  
Author(s):  
Kiwoon Choi ◽  
Sang Hui Im ◽  
Chang Sub Shin
Keyword(s):  
General Continuum

In-plane nonlinear postbuckling analysis of circular arches using absolute nodal coordinate formulation with arc-length method

2020 ◽  
pp. 146441932097141
Author(s):  
Abdur Rahman Shaukat ◽  
Peng Lan ◽  
Jia Wang ◽  
Tengfei Wang
Keyword(s):  
Absolute Nodal Coordinate Formulation ◽  
Beam Element ◽  
Experimental Result ◽  
Equilibrium Path ◽  
Arc Length ◽  
Concentrated Load ◽  
Absolute Nodal Coordinate ◽  
Split Method ◽  
Geometric Configurations ◽  
General Continuum

In this study, Absolute Nodal Coordinate Formulation (ANCF) in conjunction with Crisfield’s arc-length method is utilized in order to predict the nonlinear postbuckling behaviour of circular arches. The whole primary equilibrium path in load-displacement space of circular arches under central concentrated load is obtained. Three ANCF based approaches, i.e., the conventional two-dimensional fully parameterized shear deformable ANCF beam element based on the General Continuum Mechanics (GCM) approach, the same element modified by the Strain Split Method (SSM) approach and the ANCF planar Higher Order Beam Element (HOBE) with GCM approach are used. Circular arches with various geometric configurations and boundary conditions such as clamped-clamped, hinged-hinged, clamped-hinged and three-hinged arches are studied which exhibit nonlinear response in the form of snap-through, snap-back and looping phenomenon. The obtained results are compared with the analytical solutions, experimental result (where available in the literature) and numerical approximations (by using the commercially available FEM package). In this paper, the recently proposed ANCF based approaches are successfully implemented which validate and verify the utility of ANCF in nonlinear postbuckling analysis. The characteristics of the three approaches with regard to the adoptability of arc-length method are compared and discussed.

A General Continuum Theory With Microstructure for Wave Propagation in Elastic Laminated Composites

1974 ◽  
Vol 41 (1) ◽  
pp. 101-105 ◽  
Author(s):  
G. A. Hegemier ◽  
T. C. Bache
Keyword(s):  
Wave Propagation ◽  
Continuum Model ◽  
Laminated Composites ◽  
Continuum Theory ◽  
Velocity Spectrum ◽  
Two Dimensional ◽  
One Dimensional ◽  
General Continuum ◽  
Hierarchy Of Models ◽  
Dimensional Wave

A continuum theory with microstructure for wave propagation in laminated composites, proposed in previous works concerning propagation normal and parallel to the laminates, is extended herein to the general two-dimensional case. Continuum model construction is based upon an asymptotic scheme in which dominant signal wavelengths are assumed large compared to typical composite microdimensions. A hierarchy of models is defined by the order of truncation of the obtained asymptotic sequence. Particular attention is given to the lowest order dispersive theory. The phase velocity spectrum of the general theory is investigated for one-dimensional wave propagation at various propagation angles with respect to the laminates. Retention of all terms in the asymptotic sequence is found to yield the exact elasticity spectrum, while spectral collation of the lowest order dispersive theory with the first three modes of the exact theory gives excellent agreement.

A continuum model for fibre-reinforced plastic materials

1967 ◽  
Vol 301 (1467) ◽  
pp. 473-492 ◽  
Keyword(s):  
Experimental Data ◽  
Continuum Model ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
Rigid Plastic ◽  
Fibre Direction ◽  
Preferred Direction ◽  
Principal Axes ◽  
Theoretical Predictions ◽  
General Continuum

A simple, general continuum model is proposed for describing the plastic behaviour of a composite material consisting of a metal matrix reinforced by strong fibres. The model is that of an incompressible rigid/plastic continuum which is transversely isotropic—the single preferred direction at any point, and at all times, being the fibre-direction at that point—and which is inextensible in the preferred direction. The principal axes of anisotropy are therefore explicitly determined by the deformation history. The kinematics and general three-dimensional theory for the material are developed and then applied to two cases of plane strain and one of plane stress. The latter is employed in the analysis of previously published experimental data on the yielding of thin fibre-reinforced sheets; good agreement is obtained between the theoretical predictions and the experimental data.

scholarly journals Quantum walking in curved spacetime: (3+1) dimensions, and beyond

2017 ◽  
Vol 17 (9&10) ◽  
pp. 810-824 ◽  
Author(s):  
Pablo Arrighi ◽  
Stefno Facchini
Keyword(s):  
Dirac Equation ◽  
Continuum Limit ◽  
Space Dimension ◽  
Quantum Walk ◽  
Internal Degree ◽  
Curved Spacetime ◽  
Arbitrary Space ◽  
Time Quantum ◽  
General Continuum ◽  
Internal Degree Of Freedom

A discrete-time Quantum Walk (QW) is essentially an operator driving the evolution of a single particle on the lattice, through local unitaries. Some QWs admit a continuum limit, leading to familiar PDEs (e.g. the Dirac equation). Recently it was discovered that prior grouping and encoding allows for more general continuum limit equations (e.g. the Dirac equation in (1+ 1) curved spacetime). In this paper, we extend these results to arbitrary space dimension and internal degree of freedom. We recover an entire class of PDEs encompassing the massive Dirac equation in (3 + 1) curved spacetime. This means that the metric field can be represented by a field of local unitaries over a lattice.

scholarly journals Subculture of convicted as from criminal subculture: cultural and historical aspect

2021 ◽  
Vol 1 (6) ◽  
pp. 98-111
Author(s):  
Nastoiashcha U. V. ◽  
Keyword(s):  
Theoretical Analysis ◽  
Interdisciplinary Approach ◽  
Regulatory Function ◽  
Structural Element ◽  
Historical Aspect ◽  
The Public ◽  
Psychological Reaction ◽  
Public Consciousness ◽  
General Continuum ◽  
Informal Structure

The purpose of the article is to distinguish the subculture of convicts and criminal subcultures as a known concept Methodology. The basis of this study is a theoretical analysis, synthesis, generalization, systematization of available scientific literature on the subject. Results. The theoretical analysis of scientific works on the basis of an interdisciplinary approach helped to distinguish the subculture of convicts and the criminal subculture in the context of their manifestations in the public consciousness. It is determined that the subculture of convicts develops on the basis of the criminal subculture, which performs a regulatory function in relation to convicts. The criteria of delimitation of subcultures are singled out, which gives each of them a separate place in the general continuum and concerns: attitude to social and legislative norms, places of formation and forms of manifestation, peculiarities of communication and self-presentations. It is proved that a clear distinction between the convicted subculture and the criminal subculture will provide a basis for the rehabilitation of convicts and the effectiveness of the penitentiary service in prison conditions. It was established that the subculture of convicts is a structural element of the criminal subculture with its own system of norms, values, traditions, customs that regulate the behavior of convicts in the informal structure of penitentiaries. Its emergence and existence in places of imprisonment causes a compensatory psychological reaction with a forced desire to adapt, ensure their safety, assert themselves in a community of their own kind, where inevitably formed a system of values, concepts, customs, regulating relations between individuals isolated from society. Practical implications. The subculture of convicts is created and manifested in places of imprisonment, is characterized by the preservation of norms, values, traditions, customs of the criminal subculture, provides for the formation of adaptive mechanisms for places of imprisonment with subsequent inclusion in the rehabilitation process. Value (originality). The clarity of the distinction between the subculture of convicts and the criminal subculture will create the basis for the deployment of prison rehabilitation processes and increase the efficiency of the penitentiary service. Key words: subculture (criminal, prison, convicts), penitentiary institutions, norms of behavior regulation.

Flow Through Nano Porous Media: Defining a Benchmark Scenario

2012 ◽  
Author(s):  
Marc-Florian Uth ◽  
Heinz Herwig
Keyword(s):  
Porous Media ◽  
Lattice Boltzmann ◽  
Complex Flows ◽  
Benchmark Scenario ◽  
Lattice Boltzmann Simulations ◽  
Small Scales ◽  
Flow Situation ◽  
Flow Through ◽  
General Continuum ◽  
The Continuum

A benchmark scenario for studying the effect of non-continuum phenomena on the macroscopic properties of nano porous media is introduced. It consists of three geometries typical for the flow situation in porous media and should be representative for complex flows in general. Continuum results are presented as reference cases reaching from no-slip to total slip and different values of slip lengths. The results are compared to Lattice-Boltzmann simulations combined with a modification of the Shan-Chen model to account for slip. The comparison shows deviations between the models that can not be observed in a flow over flat walls. Such continuum results are provided for comparing them with simulations based on molecular dynamics on the nano scale in order to identify the breakdown of the continuum assumptions for small scales.

scholarly journals General continuum approach for dissipative systems of repulsive particles

2016 ◽  
Vol 93 (6) ◽  
Author(s):  
César M. Vieira ◽  
Humberto A. Carmona ◽  
José S. Andrade ◽  
André A. Moreira
Keyword(s):  
Dissipative Systems ◽  
Continuum Approach ◽  
General Continuum

Absolute Nodal Coordinate Formulation Coupled Deformation Modes

2006 ◽  
Author(s):  
Bassam A. Hussein ◽  
Hiroyuki Sugiyama ◽  
Ahmed A. Shabana
Keyword(s):  
Finite Element ◽  
Cross Section ◽  
Absolute Nodal Coordinate Formulation ◽  
Flexible Structures ◽  
Mindlin Plate ◽  
Elastic Line ◽  
Absolute Nodal Coordinate ◽  
Geometric Stiffening ◽  
General Continuum ◽  
Deformation Modes

The finite element absolute nodal coordinate formulation (ANCF) leads to beam and plate models that relax the assumption of the classical Euler-bernoulli and Timoshenko beam and Mindlin plate theories. In these more general models, the cross section is allowed to deform and it is no longer treated as a rigid surface. The coupling between the bending and cross section deformations leads to the new ANCF-coupled deformation modes that are examined in this study. While these coupled deformation can be source of numerical and convergence problems when thin and stiff beam models are considered, the inclusion of the effect of these modes in the dynamic model is necessary in the case of very flexible structures. In order to examine the effect of these coupled deformation modes in this investigation, three different large deformation dynamic beam models are discussed. Two of these models, which differ in the way the beam elastic forces are calculated in the absolute nodal coordinate formulation, allow for systematically eliminating the coupled deformation modes, while the third allows for including these modes. The first of these models is based on a general continuum mechanics approach that leads to a model that includes the ANCF-coupled deformation modes; while the second and third methods that can be used to eliminate the coupled deformation modes are based on the elastic line approach and the Hellinger-Reissner principle. It is shown in this study that the inclusion of the ANCF-coupled deformation modes introduces geometric stiffening effects that can not be captured using other finite element models.

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