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91.
We review recent developments in the method of algebro-geometric integration of integrable systems related to deformations of algebraic curves. In particular, we discuss the theta-functional solutions of the Schlesinger system, Ernst equation, and self-dual SU(2)-invariant Einstein equations. 相似文献
92.
A. B. Mitkevich 《Mechanics of Composite Materials》2006,42(4):297-302
The deformation of pressure vessel domes in asymmetric winding with the use of two families of yarns is accompanied by shear
deformations and torsion. For the case of large deformations, a system of equations for describing the stress-strain state
of an asymmetrically reinforced netlike shell of revolution loaded with an internal pressure is obtained. It is shown that
the shear deformations depend on the deformations of both the yarn families and the deformations of meridians and parallels
of the shell. As an example, the dome of a pressure vessel in a deformed state is calculated for an initial equilibrium shape
determined on the assumption that the yarns are inextensible.
__________
Translated from Mekhanika Kompozitnykh Materialov, Vol. 42, No. 4, pp. 425–432, July–August, 2006. 相似文献
93.
Yu. V. Nemirovskii 《Mechanics of Composite Materials》2001,37(5-6):421-430
New formulations and methods for the solution of the inverse problems of thin-walled layered and reinforced shells and plates are discussed. Rational projects with regard for the requirements of nonflexural deformations in layered structural members, the given deformability of particular surfaces, the realization of a strictly momentless state, an equally stressed reinforcement, and the breaking strength of the binder at the interfaces are investigated. A brief review of the known solutions to these problems is given, and solutions to some new problems are described. 相似文献
94.
E. V. Korobko Prof. V. E. Dreval Z. P. Shulman V. G. Kulichikhin 《Rheologica Acta》1994,33(2):117-124
Studies have been made of concentrated (up to 60%) diatomite suspensions in transformer oil, the structure and theological properties of which depend on an applied electric field. Studies have been conducted of steady-state and transient regimes of straining involving continuous and periodic shear. The structure in such suspensions is formed in the presence of an electric field of 10–3 –102 duration. The suspensions under continuous stationary strain behave as non-Newtonian fluids with a yield stress dependent on electric intensity. Under periodic deformation conditions the test suspensions exhibit elasticity which abruptly diminishes with increasing deformation amplitude. 相似文献
95.
Experimental data for simple tension suggest that there is a power–law kinematic relationship between the stretches for large
classes of slightly compressible (or almost incompressible) non-linearly elastic materials that are homogeneous and isotropic.
Here we confine attention to a particular constitutive model for such materials that is of generalized Varga type. The corresponding
incompressible model has been shown to be particularly tractable analytically. We examine the response of the slightly compressible material
to some nonhomogeneous deformations and compare the results with those for the corresponding incompressible model. Thus the effects of slight compressibility
for some basic nonhomogeneous deformations are explicitly assessed. The results are fundamental to the analytical modeling
of almost incompressible hyperelastic materials and are of importance in the context of finite element methods where slight
compressibility is usually introduced to avoid element locking due to the incompressibility constraint. It is also shown that
even for slightly compressible materials, the volume change can be significant in certain situations.
相似文献
96.
Klas Adolfsson 《Nonlinear dynamics》2004,38(1-2):233-246
In this paper, we formulate a fractional order viscoelastic model for large deformations and develop an algorithm for the integration of the constitutive response. The model is based on the multiplicative split of the deformation gradient into elastic and viscous parts. Further, the stress response is considered to be composed of a nonequilibrium part and an equilibrium part. The viscous part of the deformation gradient (here regarded as an internal variable) is governed by a nonlinear rate equation of fractional order. To solve the rate equation the finite element method in time is used in combination with Newton iterations. The method can handle nonuniform time meshes and uses sparse quadrature for the calculations of the fractional order integral. Moreover, the proposed model is compared to another large deformation viscoelastic model with a linear rate equation of fractional order. This is done by computing constitutive responses as well as structural dynamic responses of fictitious rubber materials. 相似文献
97.
Davide Guzzetti 《Mathematical Physics, Analysis and Geometry》2001,4(3):245-291
We study the inverse problem for semi-simple Frobenius manifolds of dimension 3 and we explicitly compute a parametric form of the solutions of the WDVV equations in terms of Painlevé VI transcendents. We show that the solutions are labeled by a set of monodromy data. We use our parametric form to explicitly construct polynomial and algebraic solutions and to derive the generating function of Gromov–Witten invariants of the quantum cohomology of the two-dimensional projective space. The procedure is a relevant application of the theory of isomonodromic deformations. 相似文献
98.
Received July 2, 2001 / Published online February 4, 2002 相似文献
99.
We describe numerical calculations which examine the Phillips-Sarnak conjecture concerning the disappearance of cusp forms on a noncompact finite volume Riemann surface under deformation of the surface. Our calculations indicate that if the Teichmüller space of is not trivial, then each cusp form has a set of deformations under which either the cusp form remains a cusp form or else it dissolves into a resonance whose constant term is uniformly a factor of smaller than a typical Fourier coefficient of the form. We give explicit examples of those deformations in several cases.
100.
Gebhard Böckle 《Compositio Mathematica》2000,121(2):109-154
We determine the universal deformation ring, in the sense of Mazur, of a residual representation
, where k is a finite field of characteristic p and K is a local field of residue characteristic p. As one might hope for, but is not proven in the global case, the deformation ring is a complete intersection, flat over W(k), with the exact number of equations given by the dimension of
. We then go on to determine the ordinary locus inside the deformation space and, using ideas of Mazur, apply this to compare the universal and the universal ordinary deformation spaces. Provided that the universal ring for ordinary deformations with fixed determinant is finite flat over W(k), as was shown in many cases by Diamond, Fujiwara, Taylor–Wiles and Wiles, we show that the corresponding universal deformation ring – with no restriction of ordinariness or fixed determinant – is a complete intersection, finite flat over W(k) of the dimension conjectured by Mazur, provided that the restriction of
to the inertia subgroup is different from the inverse cyclotomic character. 相似文献