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Textile Research Journal, ISSN 0040-5175, 3/2017, Volume 87, Issue 4, pp. 424 - 432
The effect of yarn torsional rigidity was verified on the Cooper model for fabric bending rigidity in any direction. We made five cotton fabrics with different... 
yarn | yarn torsional rigidity | fabric | anisotropy | bending rigidity | MATERIALS SCIENCE, TEXTILES | Cotton textiles | Cotton fabrics | Analysis | Mechanical properties | Research | Torsion | Yarn | Studies | Fabric analysis | Product design | Agreements | Authorship
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 01/2017, Volume 50, Issue 3, p. 35201
We study torsional rigidity for graph and quantum graph analogs of wellknown pairs of isospectral non-isometric planar domains. We prove that such isospectral... 
heat content | isospectral | quantum graphs | torsional rigidity | HEAT-CONTENT | TRACE | PHYSICS, MULTIDISCIPLINARY | METRIC GRAPHS | PHYSICS, MATHEMATICAL | DOMAINS
Journal Article
Bulletin of the London Mathematical Society, ISSN 0024-6093, 04/2018, Volume 50, Issue 2, pp. 321 - 339
We obtain bounds for the expected loss of torsional rigidity of a cylinder CL of length L and planar cross‐section Ω due to a Brownian fracture that starts at... 
35J20 (primary) | 60G50 (secondary) | MATHEMATICS | HEAT-FLOW
Journal Article
by Zhu, L and Zhang, DD and Shao, F and Xu, Q and Zhao, QL
KSCE JOURNAL OF CIVIL ENGINEERING, ISSN 1226-7988, 07/2019, Volume 23, Issue 7, pp. 3021 - 3029
A unique fiber-reinforced polymer (FRP)-aluminum spatial truss structure with upper I-type, transverse beam braces was developed for deployable bridging,... 
spatial truss | transverse brace | CIVIL | DESIGN | ENGINEERING, CIVIL | pure torsion | BEHAVIOR | deployable bridge | hybrid structure | torsional rigidity
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2018, Volume 457, Issue 2, pp. 1153 - 1172
In this paper we generalize some classical estimates involving the torsional rigidity and the principal frequency of a convex domain to a class of functionals... 
Principal eigenvalue | Convex domains | Torsional rigidity | Shape optimization | MATHEMATICS | MATHEMATICS, APPLIED | Anisotropy | Mathematics - Analysis of PDEs
Journal Article
The Journal of Physical Chemistry C, ISSN 1932-7447, 10/2017, Volume 121, Issue 42, pp. 23359 - 23369
Rigid linear organic co-oligomers are prospective materials for organic optoelectronics. In this work, we explored intramolecular factors affecting the... 
MOLECULAR-ORBITAL METHODS | FIELD | MATERIALS SCIENCE, MULTIDISCIPLINARY | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | OPTOELECTRONIC PROPERTIES | THIOPHENE | SINGLE-CRYSTALS | TRANSPORT | BASIS-SETS | OPTIMIZATION | DERIVATIVES | INTERMOLECULAR INTERACTIONS
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 12/2018, Volume 265, Issue 12, pp. 6424 - 6442
In this paper we study optimal estimates for two functionals involving the anisotropic p-torsional rigidity Tp(Ω), 1 Anisotropic operators | Optimal estimates | Torsional rigidity | MATHEMATICS | INEQUALITY | Anisotropy
Journal Article
Textile Research Journal, ISSN 0040-5175, 3/2018, Volume 88, Issue 6, pp. 605 - 613
The effect of crimp on torsional rigidity of monofilament and cotton spun yarns was studied. Two kinds of polymeric monofilament yarns and four kinds of cotton... 
fiber | crimp | materials | fabrication | yarn | fabric formation | measurement | properties | torsional rigidity | MATERIALS SCIENCE, TEXTILES | Textile fabrics | Cotton yarn | Mechanical properties | Polymeric composites | Research | Torsion | Authorship | Product design | Rigidity | Cotton | Yarn | Studies | Geometry | Steam | Materials research | Yarns | Folding
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 12/2016, Volume 86, Issue 4, pp. 579 - 600
Let $$\Omega $$ Ω be an open set in Euclidean space with finite Lebesgue measure $$\vert \Omega \vert $$ | Ω | . We obtain some properties of the set function... 
49J45 | 49R05 | 35P15 | Analysis | First Dirichlet eigenvalue | Mathematics | 47A75 | Torsional rigidity | 35J25
Journal Article
Potential Analysis, ISSN 0926-2601, 4/2018, Volume 48, Issue 3, pp. 375 - 403
Let 𝕋 m be the m-dimensional unit torus, m ∈ ℕ. The torsional rigidity of an open set Ω ⊂ 𝕋 m is the integral with respect to Lebesgue measure over all... 
35J20 | Torus | Inradius | 60G50 | Heat kernel | Probability Theory and Stochastic Processes | Mathematics | Torsional rigidity | Laplacian | Spectrum | Geometry | Brownian motion | Potential Theory | Functional Analysis | Capacity | MATHEMATICS | TIMES | INEQUALITY | DOMAINS
Journal Article
Russian Engineering Research, ISSN 1068-798X, 11/2017, Volume 37, Issue 11, pp. 954 - 956
The torsional rigidity of roller and eccentric frictional and nonfrictional freewheel mechanisms is compared. 
Engineering | machine drives | Engineering Design | freewheel mechanisms | operational reliability | torsional rigidity | TORSION | RELIABILITY | COMPARATIVE EVALUATIONS | ROLLING FRICTION | ENGINEERING
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2011, Volume 379, Issue 2, pp. 818 - 826
A one-parameter family of variational problems is examined that interpolates between torsional rigidity and the first Dirichlet eigenvalue of the Laplacian.... 
Semilinear partial differential equations | Torsional rigidity | Principal frequency | Sobolev embedding | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | POSITIVE SOLUTIONS | BOUNDARY-VALUE-PROBLEMS
Journal Article
International Journal of Mechanical and Production Engineering Research and Development, ISSN 2249-6890, 2018, Volume 8, Issue 6, pp. 219 - 226
Journal Article
Russian Engineering Research, ISSN 1068-798X, 12/2016, Volume 36, Issue 12, pp. 995 - 998
A model is proposed for harmonic gear drives. The model takes into account that harmonic engagement involves multiple pairs and multiple zones and also takes... 
Engineering | engagement gaps | flexible gears | harmonic gear drive | Engineering Design | rigid gears | torsional rigidity
Journal Article
Computational Methods and Function Theory, ISSN 1617-9447, 3/2019, Volume 19, Issue 1, pp. 37 - 63
We exploit the equality of Bergman analytic content and torsional rigidity of a simply connected domain to develop a new method for calculating these... 
Computational Mathematics and Numerical Analysis | Bergman polynomials | 30E10 | Functions of a Complex Variable | Analysis | Mathematics | Torsional rigidity | 30H20 | Bergman analytic content | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
ESAIM - Control, Optimisation and Calculus of Variations, ISSN 1292-8119, 2014, Volume 20, Issue 2, pp. 315 - 338
We generalize to the p-Laplacian. Delta(p) a spectral inequality proved by M.-T. Kohler-Jobin. As a particular case of such a generalization, we obtain a sharp... 
Spherical rearrangements | Nonlinear eigenvalue problems | Torsional rigidity | nonlinear eigenvalue problems | MATHEMATICS, APPLIED | CONVEX SYMMETRIZATION | REGULARITY | EXTREMAL-FUNCTIONS | AUTOMATION & CONTROL SYSTEMS | spherical rearrangements | Studies | Mechanics | Dirichlet problem | Laplace transforms | Mathematical analysis | Eigen values
Journal Article
Indiana University Mathematics Journal, ISSN 0022-2518, 1/2010, Volume 59, Issue 3, pp. 1013 - 1039
We prove the existence and uniqueness up to translations of the solution to a Minkowski type problem for the torsional rigidity in the class of open bounded... 
Mathematical theorems | Interior points | Infinity | Uniqueness | Mathematical functions | Mathematical inequalities | Borel measures | Curvature | Perceptron convergence procedure | Convex bodies | Minkowski problem | Torsional rigidity | MATHEMATICS | CAPACITY | convex bodies | CONCAVITY | torsional rigidity
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 02/2014, Volume 287, Issue 2-3, pp. 194 - 209
In this paper we prove a sharp upper bound for the first Dirichlet eigenvalue of a class of nonlinear elliptic operators which includes the operator... 
anisotropic operators | stability estimates | 35P30 | 35P15 | Eigenvalue problems | torsional rigidity | Torsional rigidity | Anisotropic operators | Stability estimates | QUESTIONS | MATHEMATICS | P-LAPLACIAN | CONVEX SYMMETRIZATION | POLYA-SZEGO INEQUALITY | WULFF THEOREM | Anisotropy | Mathematics - Analysis of PDEs
Journal Article
Lobachevskii Journal of Mathematics, ISSN 1995-0802, 8/2018, Volume 39, Issue 6, pp. 826 - 834
Journal Article
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