Optimal bounded control of first-passage failure of strongly non-linear oscillators under combined harmonic and white-noise excitations

A procedure for designing the optimal bounded control of strongly non-linear oscillators under combined harmonic and white-noise excitations for minimizing their first-passage failure is proposed. First, a stochastic averaging method for strongly non-linear oscillators under combined harmonic and white-noise excitations using generalized harmonic functions is introduced. Then, the dynamical programming equations and their boundary and final time conditions for the control problems of maximizing reliability and of maximizing mean first-passage time are formulated from the averaged Ito equations by using the dynamical programming principle. The optimal control law is derived from the dynamical programming equations and control constraint. Finally, the conditional reliability function, the conditional probability density and mean of the first-passage time of the optimally controlled system are obtained from solving the backward Kolmogorov equation and Pontryagin equation. An example is given to illustrate the proposed procedure and the results obtained are verified by using those from digital simulation. (C) 2003 Elsevier Ltd. All rights reserved.

Degradation failure features of chromium-plated gun barrels with a laser-discrete-quenched substrate

The effect of substrate laser-discrete quenching on the degradation failure of chromium-plated gun barrels was metallurgically investigated. The results show that substrate laser-discrete quenching changes the failure patterns of chromium coatings during firing, and some periodic through-thickness cracks in the fired chromium coatings are justly located at original substrate zones between two adjacent laser-quenched tracks. Moreover, chromium coatings and the laser-quenched zones on the substrate are simultaneously degraded in microstructure and property during firing. Furthermore, the periodic structure of the laser-discrete-quenched steel (LDQS) substrate near the breech remains after firing, and the hardness of the fired laser-quenched zones is still higher than that of original substrates. The specific failure features were utilized to illustrate the mechanism of the extended service life of chromium-plated gun barrels with the LDQS substrate. (c) 2007 Elsevier B.V All rights reserved.

A constitutive model for cavitation and cavity growth in rubber-like materials under arbitrary tri-axial loading

In this paper, we attempted to construct a constitutive model to deal with the phenomenon of cavitation and cavity growth in a rubber-like material subjected to an arbitrary tri-axial loading. To this end, we considered a spherical elementary representative volume in a general Rivlin's incompressible material containing a central spherical cavity. The kinematics proposed by [Hou, H.S., Abeyaratne, R., 1992. Cavitation in elastic and elastic-plastic solids. J. Mech. Phys. Solids 40, 571-722] was adopted in order to construct an approximate but optimal field. In order to establish a suitable constitutive law for this class of materials, we utilized the homogenisation technique that permits us to calculate the average strain energy density of the volume. The cavity growth was considered through a physically realistic failure criterion. Combination of the constitutive law and the failure criterion enables us to describe correctly the global behaviour and the damage evolution of the material under tri-axial loading. It was shown that the present models can efficiently reproduce different stress states, varying from uniaxial to tri-axial tensions, observed in experimentations. Comparison between predicted results and experimental data proves that the proposed model is accurate and physically reasonable. Another advantage is that the proposed model does not need special identification work, the initial Rivlin's law for the corresponding incompressible material is sufficient to form the new law for the compressible material resulted from cavitation procedure. (C) 2007 Elsevier Ltd. All rights reserved.

Microstructure, deformation and failure of polymer bonded explosives

Polymer bonded explosives (PBXs) are highly particle filled composite materials comprised of explosive crystals and a polymeric binder (ca. 5-10% by weight). The microstructure and mechanical properties of two pressed PBXs with different binder systems were studied in this paper. The initial microstructure of the pressed PBXs and its evolution under different mechanical aggressions were studied, including quasi-static tension and compression, ultrasonic wave stressing and long-pulse low-velocity impact. Real-time microscopic observation of the PBXs under tension was conducted by using a scanning electron microscope equipped with a loading stage. The mechanical properties under tensile creep, quasi-static tension and compression were studied. The Brazilian test, or diametrical compression, was used to study the tensile properties. The influences of pressing pressures and temperatures, and strain rates on the mechanical properties of PBXs were analyzed. The mesoscale damage modes in initial pressed samples and the samples insulted by different mechanical aggressions, and the corresponding failure mechanisms of the PBXs under different loading conditions were analyzed.

Comportamiento de dos poblaciones de Moringa oleifera (material acriollado y mejorado PKM1) en sus primeras etapas de crecimiento en condiciones de vivero, UNA, Managua, 2013

El presente trabajo de investigación se estableció entre los meses de Abril- Junio, 2013, en el vivero de la Facultad de Recursos Naturales de la Universidad Nacional Agraria, con la finalidad de evaluar germinación y sobrevivencia de las plántulas, afectaciones por plagas y enfermedades, altura de la planta, diámetro basal del tallo, número de hojas, tasa de crecimiento en función de la altura, longitud de la raíz principal, numero de raíces, diámetro de la raíz principal, peso fresco y seco de la parte aérea de la planta y su raíz de dos poblaciones de Moringa oleifera: acriollada y mejorada PKM1. Se utilizó un Diseño Completamente Aleatorizado con 20 repeticiones para las primeras 8 variables y 8 repeticiones para las 5 últimas variables en ambos tratamientos. Durante el periodo experimental, M. oleifera acriollada presentó un porcentaje de germinación de 98.33% mientras que PKM1 de 78.30%, en cuanto a la sobrevivencia para acriollada fue de 99.43% y la PKM1 de 97.16%. Las dos poblaciones fueron afectadas por Zompopo (Atta. spp) siendo la más afectada PKM1 con él 90% consideradas como susceptibles. Al final de la evaluación se observaron diferencias estadísticas (P <0.05) a favor de Moringa acriollada en: altura de la planta, diámetro basal del tallo, numero de hojas, tasa de crecimiento en función de la altura, longitud de la raíz principal, número de raíces, diámetro de la raíz principal, peso seco de la raíz. El peso seco de la parte aérea no mostró diferencias estadísticas (P <0.05) entre tratamientos. Mediante el análisis se demostró que existe comportamiento diferente de crecimiento entre los tratamientos evaluados, aun cuando el material acriollado exhibió mejores resultados en la mayoría de las variables medidas ambos presentaron un buen comportamiento en la fase de vivero.

Competência material da Comissão de Legislação Participativa

Consultoria Legislativa - Área I - Direito Constitucional, Eleitoral, Municipal, Administrativo, Processo Legislativo e Poder Judiciário.

On crack path stability in a layered material

Crack paths in an elastic layer on top of a substrate are considered. Crack growth is initiated from an edge crack in the layer. The plane of the initially straight crack forms an angle to the free surface. The load consists of a pair of forces applied at the crack mouth and parallel to the interface. Crack paths are calculated using a boundary element method. Crack growth is assumed to proceed along a path for which the mode II stress intensity factor vanishes. The inclination and the length of the initial crack are varied. The effect of two different substrates on the crack path evolution is demonstrated. A crack path initially leading perpendicularly to the interface is shown to be directionally unstable for a rigid substrate. Irrespective of its initial angle, the crack does not reach the interface, but reaches the free surface if the layer is infinitely long. At finite layer length the crack reaches the upper free surface if the initial crack inclination to the surface is small enough. For an inextendable flexible substrate, on the other hand, the crack reaches the interface if its initial inclination is large enough. For the flexible substrate an unstable path parallel with the sides of an infinitely long layer is identified. The results are compared with experimental results and discussed in view of characterisation of directionally unstable crack paths. The energy release rate for an inclined edge crack is determined analytically.

Long pulsed laser induced reverse bulging and plugging

A new kind of failure mode is observed in circular brass foils whose peripheries are fixed and whose surfaces are subjected to a long pulsed laser over a central region. The failure is classified into three stages; they are referred to as thermal bulging, localized shear deformation and perforation by plugging. A distinct feature of the failure mode is that bulging and plugging occurred in the direction opposite to the incident laser beam. The failure mode is different from the well-known types of laser induced material damage, such as spallation, melting and/or vaporization.