3-D dynamic finite element method analysis confirms that the rise time and stress level of the stress impulse as well as the specimen diameter have a significant effect on the testing result of CCCD-SHPB(central cracked circular disk-split Hopkinson pressure bar)dynamic fracture test system,and the dynamic fracture toughness under different loading rates can be achieved by changing the rise time and stress level of the stress impulse.
It put forward the method to determine plastoelastic fatigue notch factor by means of experimental results contrasting smooth specimen with notch specimen.
With Duffy's shear modulus of molybdenum, the results of Y/G is obtained. Between 10.0 GPa and 16.0 GPa, Y/G is near to 0.02, but departure above 16.0 GPa. It is more reasonable to think Y/G consistent a linear relationship Y/G=0.0007+0.0001P.
Then the influence of different characteristic of structure and earthquake on pushover evaluating result was analyzed. It was demonstrated that different structural and earthquake characteristic had different influence on the results of pushover analysis method.
In recent years, with the development of CFD(Computational Fluid Dynamics) it has become an important research direction to use CFD to study the mechanism of the flow in the pump and then optimize the design with the simulation result.
In this paper, it is a attempt that the dynamic analysis of structures is carried out against this low frequency part with lesser sampling points of wavelet decomposition, then data, and the results are compared with dynamic computation using the original earthquake record and result to multiple time-step length directly.
Based on the result of FEM, dynamic stress intensity factor of three-point bending specimen is computed by approximate formulas. When specimen is loaded by regular impact loading, for example linear and sine loading, the results are consistent with that by FEM.
In the second example, we obtain a proof of the Chalyh-Veselov conjecture that the Calogero-Moser system with integer parameter is algebraically integrable, using the results of Felder and Varchenko.
As an application of the results we prove a generalization of Chevalley's restriction theorem for the classical Lie algebras.
We apply these results to intersection theory on varieties with group actions, especially to Schubert calculus and its generalizations.
In this paper, we prove three types of rigidity results related to CAT(-1) spaces, namely the rigidity of the isometric actions on CAT(-1) spaces under the commensurability subgroups, the higher rank lattices and certain ergodic cocycles.
This extends the results and simplifies the proof for the classical orbit structure description of  and , which applies whenF=Z.
A basis is calledmonomial if each of its elements is the result of applying to a (fixed) highest weight vector a monomial in the Chevalley basis elementsYα, α a simple root, in the opposite Borel subalgebra.
The result generalizes and implies the classical "branching rules" that describe the restriction of an irreducible representation of the symmetric groupSn toSn-1.
Implementing this point of view, Poisson Summation Formulas are proved in several spaces including integrable functions of bounded variation (where the result is known) and elements of mixed norm spaces.
We use interpolation methods to prove a new version of the limiting case of the Sobolev embedding theorem, which includes the result of Hansson and Brezis-Wainger for Wnk/k as a special case.
The weighted inequalities allow us to transfer the result to the ergodic case, when the operator is induced by a mean bounded, invertible, positive groups.