scholarly journals Escherization with Large Deformations Based on As-Rigid-As-Possible Shape Modeling

2022 ◽  
Vol 41 (2) ◽  
pp. 1-16
Author(s):  
Yuichi Nagata ◽  
Shinji Imahori
Keyword(s):  
Large Deformations ◽  
Deformation Energy ◽  
Considerable Extent ◽  
Exhaustive Search ◽  
Shape Modeling ◽  
Triangular Meshes ◽  
Energy Functions ◽  
Similar Shape ◽  
Original Shape ◽  
Complex Goal

Escher tiling is well known as a tiling that consists of one or a few recognizable figures, such as animals. The Escherization problem involves finding the most similar shape to a given goal figure that can tile the plane. However, it is easy to imagine that there is no similar tile shape for complex goal shapes. This article devises a method for finding a satisfactory tile shape in such a situation. To obtain a satisfactory tile shape, the tile shape is generated by deforming the goal shape to a considerable extent while retaining the characteristics of the original shape. To achieve this, both goal and tile shapes are represented as triangular meshes to consider not only the contours but also the internal similarity of the shapes. To measure the naturalness of the deformation, energy functions based on traditional as-rigid-as-possible shape modeling are incorporated into a recently developed framework of the exhaustive search of the templates for the Escherization problem. The developed algorithms find satisfactory tile shapes with natural deformations for fairly complex goal shapes.

FISSION FRAGMENT PROPERTIES AT SCISSION WITH THE GOGNY FORCE

2008 ◽  
Vol 17 (01) ◽  
pp. 72-80 ◽  
Author(s):  
N. DUBRAY ◽  
H. GOUTTE ◽  
J.-F. BERGER ◽  
J.-P. DELAROCHE
Keyword(s):  
Fission Fragment ◽  
Large Deformations ◽  
Deformation Energy ◽  
Time Dependent ◽  
Two Dimensional ◽  
Generator Coordinate Method ◽  
Coordinate Method ◽  
Hartree Fock ◽  
Collective Coordinates ◽  
Generator Coordinate

Two-dimensional Hartree-Fock-Bogoliubov (HFB) calculations have been performed from spherical shapes to large deformations with constraints on axial quadrupole and octupole deformations in 238 U , 256–260 Fm and 226 Th actinides. Scission configurations have then been identified in this subspace of collective coordinates and many nuclear properties of the nascent fragments have been derived, such as deformation, deformation energy or prompt neutron multiplicity. The HFB states have then served as basis states for time-dependent collective calculations based on the Time-Dependent Generator Coordinate Method and the Gaussian Overlap Approximation to derive fission fragment yields.

Robot vision as a problem of picture analysis optimization

Robotica ◽  
1986 ◽  
Vol 4 (3) ◽  
pp. 189-192 ◽  
Author(s):  
I. Y. Bereznaya ◽  
R. M. Granovskaya
Keyword(s):  
Information Processing ◽  
Quantitative Estimate ◽  
Robot Vision ◽  
Considerable Extent ◽  
Exhaustive Search ◽  
Cerebral Hemispheres ◽  
Grey Level ◽  
Picture Analysis ◽  
The Right ◽  
Human Faces

SUMMARYSome principles of information processing in the right and left cerebral hemispheres are used to construct effective algorithms for the recognition of handwritten characters and for processing complex grey-level pictures, viz, photographs of human faces. These algorithms reduce to a considerable extent the exhaustive search for pixels being analysed. A quantitative estimate of the thus obtained gain is given.

Failure Prediction of Unidirectional Composites Undergoing Large Deformations1

2015 ◽  
Vol 82 (7) ◽  
Author(s):  
Jacob Aboudi ◽  
Konstantin Y. Volokh
Keyword(s):  
Strain Energy ◽  
Large Deformations ◽  
Static Stability ◽  
Energy Functions ◽  
Micromechanical Analysis ◽  
Hyperelastic Materials ◽  
Failure Envelopes ◽  
Special Cases ◽  
Enhanced Strain ◽  
Strain Energy Functions

In previous publications, strain-energy functions with limiters have been introduced for the prediction of onset of failure in monolithic isotropic hyperelastic materials. In the present investigation, such enhanced strain-energy functions whose ability to accumulate energy is limited have been incorporated with a finite strain micromechanical analysis. As a result, macroscopic constitutive equations have been established which are capable to predict the onset of loss of static stability in a hyperelastic phase of composite materials undergoing large deformations. The details of the micromechanical analysis, based on a tangential formulation, for composites with periodic microstructure are presented. The derived micromechanical analysis includes the capability to model a possible imperfect bonding between the composite’s constituents and to provide the field distribution in the composite. The micromechanical method is verified by comparison with analytical and finite difference solutions for porous hyperelastic materials that are valid in some special cases. Results are given for a rubberlike matrix characterized by softening hyperelasticity, reinforced by unidirectional nylon fibers. The response of the composite to various types of loadings is presented up to the onset of loss of static stability at a location within the hyperelastic rubber constituent, and initial failure envelopes are shown.

ENTIRE-REGION CONSTITUTIVE RELATION FOR TRELOAR'S DATA

2021 ◽  
Author(s):  
L. Han ◽  
X. F. Peng ◽  
L. X. Li
Keyword(s):  
Experimental Data ◽  
Constitutive Relation ◽  
Large Deformations ◽  
Constitutive Relations ◽  
Entire Region ◽  
Energy Functions ◽  
Practical Applications ◽  
Hyperelastic Materials ◽  
Present Procedure ◽  
Modeling Theory

ABSTRACT Hyperelastic materials can experience a large deformation process. A constitutive relation suitable for an entire region from small, moderate, to large deformations is of great importance for practical applications such as fracture problems. Treloar's data are first investigated, and the tension curve is divided into three regimes: small-to-moderate regime, strain-hardening regime, and limiting-chain regime. Next, the modeling theory of hyperelastic materials is introduced, and the tensile behaviors of basic energy functions are analyzed for different deformation regimes. Finally, a successive procedure is suggested to establish an entire-region constitutive relation and then applied to Treloar's data. The present constitutive relation can maintain the initial shear modulus while the experimental data are satisfactorily predicted. The present procedure is simple and feasible and hence applicable to other hyperelastic materials when their entire-region constitutive relations are studied based on experimental data.

PROFILING OF GUAVA GENOTYPES GROWN IN VIDARBHA CONDITIONS ON THE BASIS OF MORPHOLOGICAL TRAITS

2017 ◽  
Vol 23 (1) ◽  
Author(s):  
R.A. PATIL ◽  
S.G. BHARAD ◽  
S.N. SAWANT
Keyword(s):  
Genetic Diversity ◽  
Genetic Variability ◽  
Morphological Traits ◽  
Considerable Extent ◽  
Fruit Traits ◽  
Breeding Programmes ◽  
Tree Leaf ◽  
Qualitative Characteristics ◽  
Intrapopulation Diversity

Assessment of genetic diversity in the available germplasm is the prerequisite for development of improved genotypes through planned breeding programmes. In the view of this Forty-eight genotypes of seedling origin guava along with 1 check (L-49/Sardar) collected and conserved at germplasm block, Main Garden, Department of Horticulture, Dr. P. D. A. University, Akola were evaluated for genetic variability and diversity based on the qualitative characteristics. The genotypes were evaluated for sixteen morphological traitsviz. tree, leaf, floral and fruit traits. Results Show considerable extent of variability amongst the 49 genotypes in each traits. A sizeable amount of intrapopulation diversity recorded can be used to identify diverse parents which can be utilized in hybridization programmes.

Two Intellectual Landmarks in the Year 1749

2019 ◽  
Vol 17 (2) ◽  
pp. 101-123
Author(s):  
Farhad Rassekh
Keyword(s):  
Paradigm Shift ◽  
David Hume ◽  
Adam Smith ◽  
Considerable Extent ◽  
Monetary Theory ◽  
Economic Theories ◽  
Classical Economics ◽  
Wealth Of Nations ◽  
Economic Thinking

In the year 1749 Adam Smith conceived his theory of commercial liberty and David Hume laid the foundation of his monetary theory. These two intellectual developments, despite their brevity, heralded a paradigm shift in economic thinking. Smith expanded and promulgated his theory over the course of his scholarly career, culminating in the publication of The Wealth of Nations in 1776. Hume elaborated on the constituents of his monetary framework in several essays that were published in 1752. Although Smith and Hume devised their economic theories in 1749 independently, these theories complemented each other and to a considerable extent created the structure of classical economics.

On the Mechanical Behavior of the Orthotropic Cord-Rubber Composite

1976 ◽  
Vol 4 (4) ◽  
pp. 219-232 ◽  
Author(s):  
Ö. Pósfalvi
Keyword(s):  
Mechanical Behavior ◽  
Uniaxial Tension ◽  
Elastic Properties ◽  
Large Deformations ◽  
Virtual Work ◽  
Poisson's Ratio ◽  
Principle Of Virtual Work ◽  
Effective Elastic Properties ◽  
Rubber Composite ◽  
Mooney Equation

Abstract The effective elastic properties of the cord-rubber composite are deduced from the principle of virtual work. Such a composite must be compliant in the noncord directions and therefore undergo large deformations. The Rivlin-Mooney equation is used to derive the effective Poisson's ratio and Young's modulus of the composite and as a basis for their measurement in uniaxial tension.

Data-Driven Many-Body Models with Chemical Accuracy for CH4/H2O Mixtures

2020 ◽  
Author(s):  
Marc Riera ◽  
Alan Hirales ◽  
Raja Ghosh ◽  
Francesco Paesani
Keyword(s):  
Liquid Phase ◽  
Quantitative Description ◽  
Liquid Mixtures ◽  
Many Body ◽  
Energy Functions ◽  
Potential Energy Functions ◽  
Dynamics Simulations ◽  
Body Potential ◽  
Small Clusters ◽  
Many Body Interactions

<div> <div> <div> <p>Many-body potential energy functions (PEFs) based on the TTM-nrg and MB-nrg theoretical/computational frameworks are developed from coupled cluster reference data for neat methane and mixed methane/water systems. It is shown that that the MB-nrg PEFs achieve subchemical accuracy in the representation of individual many-body effects in small clusters and enables predictive simulations from the gas to the liquid phase. Analysis of structural properties calculated from molecular dynamics simulations of liquid methane and methane/water mixtures using both TTM-nrg and MB-nrg PEFs indicates that, while accounting for polarization effects is important for a correct description of many-body interactions in the liquid phase, an accurate representation of short-range interactions, as provided by the MB-nrg PEFs, is necessary for a quantitative description of the local solvation structure in liquid mixtures. </p> </div> </div> </div>

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