979 resultados para General Adversary Structures
Resumo:
Stochastic structural systems having a stochastic distribution of material properties and stochastic external loadings in space are analysed when a crack of deterministic size is present. The material properties and external loadings are considered to constitute independent, two-dimensional, univariate, real, homogeneous stochastic fields. The stochastic fields are characterized by their means, variances, autocorrelation functions or the equivalent power spectral density functions, and scale fluctuations. The Young's modulus and Poisson's ratio are treated to be stochastic quantities. The external loading is treated to be a stochastic field in space. The energy release rate is derived using the method of virtual crack extension. The deterministic relationship is derived to represent the sensitivities of energy release rate with respect to both virtual crack extension and real system parameter fluctuations. Taylor series expansion is used and truncation is made to the first order. This leads to the determination of second-order properties of the output quantities to the first order. Using the linear perturbations about the mean values of the output quantities, the statistical information about the energy release rates, SIF and crack opening displacements are obtained. Both plane stress and plane strain cases are considered. The general expressions for the SIF in all the three fracture modes are derived and a more detailed analysis is conducted for a mode I situation. A numerical example is given.
Resumo:
Reaction of SbPh(2)Cl(3) (1 mol) with the silver salt of dicyclohexylphosphinic acid (2 mol) afforded {SbPh(2)Cl[O2P(C6H11)(2)]}O-2 1, a similar reaction with AgO2P(C8H15)(2) gave a product formulated as {SbPh(2)Cl[O2P(C8H15)(2)]}O-2 2. Similar reactions with silver carboxylates (1:3 stoichiometry) led to the crystalline derivatives [SbPh(2)(O(2)CR)(2)]O-2 (R = Ph 3, CHPh(2) 4, 2,4,6-Me(3)C(6)H(2) 5, 2-MeC(6)H(4) 6 or 4-MeC(6)H(4) 7), whereas the 1:2 reaction afforded crystalline SbPh(2)Cl(O(2)CR)(2) (R = Ph 8, 2-MeC(6)H(4) 9 or 4-MeC(6)H(4) 10). Interconversion of the previously known compounds [SbPh(2)(O(2)CMe)(2)]O and Sb(4)Ph(8)O(6) . 3MeCO(2)H was achieved and established by H-1 NMR spectroscopy. Compounds 1 and 3 were further characterized by X-ray diffraction; the antimony in 1 is six-co-ordinated with bridging phosphinates whereas in 3 it is seven-co-ordinated with chelating benzoates. Short Sb-O (oxo) distances (1.923 Angstrom) and near linearity at the bridging ox
Resumo:
Several substituted anilines were converted to binary salts with L-tartaric acid. Second harmonic generation (SHG) activities of these salts were determined. The crystal packing in two structures, (i) m-anisidinium-L-tartrate monohydrate (i) and (ii) p-toluidinium-L-tartrate (2), studied using X-ray diffraction demonstrates that extensive hydrogen bonding steers the components into a framework which has a direct bearing on the SHG activity
Resumo:
Lamination-dependent shear corrective terms in the analysis of bending of laminated plates are derived from a priori assumed linear thicknesswise distributions for gradients of transverse shear stresses by using CLPT inplane stresses in the two in-plane equilibrium equations of elasticity in each ply. In the development of a general model for angle-ply laminated plates, special cases like cylindrical bending of laminates in either direction, symmetric laminates, cross-ply laminates, antisymmetric angle-ply laminates, homogeneous plates are taken into consideration. Adding these corrective terms to the assumed displacements in (i) Classical Laminate Plate Theory (CLPT) and (ii) Classical Laminate Shear Deformation Theory (CLSDT), two new refined lamination-dependent shear deformation models are developed. Closed form solutions from these models are obtained for antisymmetric angle-ply laminates under sinusoidal load for a type of simply supported boundary conditions. Results obtained from the present models and also from Ren's model (1987) are compared with each other.