Photothermoelastic analysis of bonded propellant grains

A two-dimensional model of the transversal cross section of a bonded rocket propellant grain was subjected to uniform and steady thermal loading and, alternatively, to mechanically applied uniform radial displacements on the outer boundary. The optimization of perforation contours (attained in previous research programs by applying uniform pressure on the outer boundary of the grain model) was confirmed for both types of thermal loading. The concentration factor at the fillets of the inner contour was determined. An attempt was made to predict the maximum strain in the actual propellant subjected to the same thermal conditions. The material used for the model was a urethane rubber. The thermoelastic properties of the model material were determined.     

Shear layer instability and acoustic interaction in solid propellant rocket motors

Segmentation of solid propellant rocket motors has been demonstrated to be a source of unpredicted and undesirable pressure and thrust oscillations. Surface discontinuities are the primary cause of these vortex-shedding-driven oscillations, which result from a strong coupling between the shear layer instability and the acoustic motion in the chamber. The analysis of an axisymmetric geometry corresponding to a {1\over 15} subscale P230 motor of the Ariane 5 rocket is numerically computed. With a suitable mesh for the viscosity value studied, the aeroacoustics in the chamber is fully described. A coupling between the hydrodynamic instability and the organ-pipe acoustic mode is clearly demonstrated. The mechanism for frequency selection is discussed. © 1997 John Wiley & Sons, Ltd.     

Effect of propellant morphology on acoustics in a planar rocket motor

This paper reports the results of numerical simulations of the acoustics in a two-dimensional (plane) motor using a high-order accurate, low-dissipation numerical solver. For verification we compare solutions to Culick’s (AIAA J 4(8):1462–1464, 1966) asymptotic solution for constant injection, and to recent results of Hegab and Kassoy (AIAA J 44(4):812–826, 2006) for a space- and time-dependent mass injection. We present results when the injection boundary condition is described by propellant morphology and by white noise. Morphology strongly affects the amplitude of the longitudinal acoustic modes, and in this connection white noise is not a suitable surrogate.      

含人工脱粘层固体装药结构应力应变场分析

针对某翼柱型固体装药结构,选取1/16子结构进行了有限元分析。通过将其分割成若干具有单一拓扑型式的组合体,获得了精度较高的结构化网格。在三维线性粘弹性理论和边界非线性理论基础上,基于接触算法模拟了人工脱粘层的边界条件;研究了固化降温过程含人工脱粘层固体装药结构的变形特征和应变场,并与无人工脱粘层的计算结果进行了对比,结果表明:人工脱粘层可以显著地改善固体装药结构端部的应变水平,最大的等效VonMises应变从无人工脱粘的30.1%下降为23.0%。此外,探讨了人工脱粘层前缘的应力水平以及工程上界面脱粘的快速近似计算方法。     

Local stresses and strains in axially cracked cylindrical shells

A perturbation solution is obtained for the local stress-strain fields in an axially cracked cylindrical shell. The tenth-order differential equations are used that take into account the transverse shear deformation. The perturbation of a curvature parameter, λ, is employed, where . The stress intensity factors for finite size cylindrical shells subjected to bending and internal pressure are evaluated. Sufficient accuracy can be obtained without using fine mesh sizes in regions near the crack tip. Also analyzed are the influence of cylinder diameter and shearing stiffness on bulging.     

Experimental separation of load and thermal stresses

Three possible methods for determining, separately, thermal and load stresses in a structure from the results of strain measurements are considered. It is shown theoretically that only one of these is feasible. An experimental verification of the proposed method, for temperatures up to 350° F, was obtained by means of thermal and load tests of a flat plate, and through analysis of data obtained by other investigators in experiments on a box beam.     

Experimental determination of residual stresses in paperboard

A method for the experimental determination of the through-thickness residual stress distribution in paperboard is presented. The successive removal of thin layers from strips of board through surface grinding changes the stress-state and the bending stiffness resulting in a changed curvature, which is measurable. From tests of strips in both in-plane directions, stress distributions can then be evaluated using the Treuting-Read method. Geometrically nonlinear effects at the large deformations taking place are avoided through a proper choice of strip dimensions. Typical results are presented and factors influencing the accuracy of the determination are thoroughly discussed.     

Analytical elasto-creep model of interfacial thermal stresses and strains in trilayer assemblies

A two-dimensional model has been developed for thermal stresses, elastic strains, creep strains, and creep energy density at the interfaces of short and long trilayer assemblies under both plane stress and plane strain conditions. Both linear (viscous) and non-linear creep constitutive behavior under static and cyclic thermal loading can be modeled for all layers. Interfacial stresses and strains are approximated using a combination of exact elasticity solutions and elementary strength of materials theories. Partial differential equations are linearized through a simple finite difference discretization procedure. The approach is mathematically straightforward and can be extended to include plastic behavior and problems involving external loads and a variety of geometries. The model can provide input data for thermal fatigue life prediction in solder or adhesive joints. For a typical solder joint, it is demonstrated that the predicted cyclic stress–strain hysteresis shows shakedown and a rapid stabilization of the creep energy dissipation per cycle in agreement with the predictions of finite element analysis.     

Bounds on stresses caused in structures by bounded anelastic strains

Summary Bounds are obtained on the stresses that can develop at an arbitrary section of a structure (such as a continuous beam, or a rigid frame) by anelastic strains of unknown distribution but bounded magnitudes. Examples of a continuous beam with two equal spans, and a portal frame are worked out in detail to illustrate the procedure.

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Übersicht Es werden Grenzen für die Spannungen ausgerechnet, die in beliebigen Querschnitten eines Tragwerkes (z. B. in einem durchlaufenden Balken oder in einem Fachwerk) entstehen können, wenn nichtelastische Dehnungen begrenzter Größe aber unbekannter Verteilung auftreten. Als Beispiele werden ein durchlaufender Balken mit zwei Feldern sowie ein Fundamentrahmen durchgerechnet, um die Einzelheiten des Berechnungsganges zu zeigen.

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This research was supported by the Advanced Research Projects Agency (Project DEFENDER) and was monitored by the U.S.Army Research Office-Durham under Contract DA.31-124-ARO-D.257.     

A model of debonding instability for solid propellant rocket motor: Part I - Uniform longitudinal and transverse stress rate

The interface between a soft and a hard material is vulnerable to debonding because of the prevailing high stress gradient that could be further aggravated under dynamic transient conditions. Such a situation is common in a solid-fuel rocket motor where unstable debonding could be triggered from the initiation of a macrocrack near the interface. The transition from a survival state to a failure state requires knowledge of how the nonlinear, dissipative and nonhomogeneous effects of the dissimilar material interface would interact with load.The solid-fuel rocket motor problem is modeled by a three-layered composite system made of steel, adhesive and rubber under plane extension. Assessed are the time dependent nonhomogeneous deformation and possible failure modes. Only initial properties of the materials were used to determine the evolution of nonequilibrium response. This is made possible by application of the isoenergy density theory that accounts for internal heat generation and energy dissipation effects. Results are presented in two parts. In Part 1, the applied stress rates are assumed to be 0.75 ksi/s in both the longitudinal and transverse direction while Part II assumes different stress rates in these two directions. At approximately one second after loading, a slanted but straight macrocrack of about 5 × 10⁻³ in. is predicted to occur in the rubber next to the interface. This initial crack was found to become unstable at eight seconds and was estimated to be close to the adhesive/rubber interface over a length of 1.88 in. The onset of fracture depended directly on the load transient behavior.     

Determination of elastic-plastic stresses and strains from measured surface strain data

A rigorous approach founded in the fundamental principles of plasticity is used to develop an accurate numerical algorithm for the determination of stresses and elastic and plastic strains from total strain data measured on a structure surface. The approach used to develop the algorithm and its relationship to both the flow theory of plasticity and recent advances in tangent stiffness-based numerical solution procedures for elastic-plastic boundary value problems are presented. Verification of the method for plane stress problems is demonstrated. A discussion of how the method can be used with measured surface displacement data is proved.     

Evaluation of residual stresses and strains using the Eigenstrain Reconstruction Method

The study of residual stress has long been an important research field in science and engineering, due to the fact that uncontrolled residual stresses are detrimental to the performance of products. Numerous research contributions have been devoted to the quantification of residual stress states for the purpose of designing engineering components and predicting their lifetime and failure in service. For the purposes of the present study these can be broadly classified into two main approaches, namely, the interpretation of experimental measurements and process modelling. In this paper, a novel approach to residual stress analysis is developed, called here the Eigenstrain Reconstruction Method (ERM). This is a semi-empirical approach that combines experimental characterisation, specifically, residual elastic strain measurement by diffraction, with subsequent analysis and interpretation based on the eigenstrain theory. Three essential components of the ERM, i.e. the residual strain measurement, the solution of the inverse problem of eigenstrain theory, and the Simple Triangle (SIMTRI) method, are described. The ERM allows an approximate reconstruction of the complete residual strain and stress state in the entire engineering component. This is a significant improvement compared to the experimentally obtained limited knowledge of stress components at a selected number of measurement points, or to the simple interpolation between these points.