Conceptual Models for Understanding the Role of the R-Nodes in Plastic Collapse

1997 ◽  
Vol 119 (3) ◽  
pp. 374-378 ◽  
Author(s):  
S. P. Mangalaramanan

The r-nodes (redistribution nodes) are locations in mechanical components and structures that are load-controlled, and therefore insensitive to material constitutive relationships. These locations and their respective equivalent stress values can be approximately determined on the basis of two linear elastic analyses. By invoking equilibrium considerations, a simple relationship can be established between the “combined r-node equivalent stress” and the plastic collapse loads. On account of its load-controlled nature, the combined r-node equivalent stress can be identified with the reference stress, which is extensively used in carrying out pressure component integrity assessments. The concept of r-nodes is also related to the primary stresses in pressure components, and in designing mechanical components and structures for minimum weight. This paper proposes simple phenomenological models in an attempt to characterize the functioning of r-nodes.

1992 ◽  
Vol 114 (2) ◽  
pp. 201-208 ◽  
Author(s):  
R. Seshadri ◽  
C. P. D. Fernando

A method for determining plastic collapse loads of mechanical components and structures on the basis of two linear elastic finite element analysis is presented in this paper. The r-nodes, which are essentially statically determinate locations, are obtained by GLOSS analysis. The plastic collapse loads are determined for statically determinate and indeterminate components and structures by using the single-bar and the multibar models, respectively. The paper also attempts to unify the concepts of load-control, limit load, reference stress and stress-classification. The GLOSS R-Node method is applied to several component configurations of practical interest.


1997 ◽  
Vol 119 (2) ◽  
pp. 224-231 ◽  
Author(s):  
S. P. Mangalaramanan ◽  
R. Seshadri

A simple procedure uses the r-nodes to achieve minimum weight design of mechanical components and structures. The method is based on two linear elastic finite element analyses (or more) in order to arrive at a component configuration that would correspond to the minimum weight design. The proposed method is applied to pressure component configurations of practical interest.


1993 ◽  
Vol 17 (2) ◽  
pp. 197-214
Author(s):  
C.P.D. Fernando ◽  
R. Seshadri

An approximate method for determining limit loads of mechanical components and structures on the basis of two linear elastic finite element analyses is described. The load-control nature of the redistribution nodes (r-nodes) leads to considerable simplifications. The combined r-node equivalent stress, which can be obtained by invoking an appropriate multibar mode, can be identified with the reference stress. The method is applied to beam, framed and arched structures, and the limit load estimates obtained are reasonably accurate.


2014 ◽  
Vol 984-985 ◽  
pp. 367-371
Author(s):  
E.S. Esakkiraj ◽  
S. Anish ◽  
V. Anish

The cold of this cardboard is to abstraction and analyze the amount accustomed accommodation and weight accumulation of blended aircraft (Aluminium Silicon Carbide) addition with that of Aluminium wing and appropriately access the acceptable aircraft addition of minimum weight accomplished of address a accustomed changeless amount after failure. And also this paper presents a model and a static analysis of the aircraft wing, using the finite element software ANSYS. The geometry was created in CATIA V5 R18 and imported. The static and model analysis are carried out in analysis software ANSYS. The result of from the static analysis refers to the total deformation, equivalent stress, shear stress and shear intensity on the skin of the aircraft wing. The model analysis will be carried out to find out the first six modes of vibrations and the different mode shape in which wing can deform without the application of load. Compared to the conventional Aluminium wing, the hybridized composite wing experience far lower stresses and the aircraft wing weight nearly 40% and 50% lower stress.


2021 ◽  
Author(s):  
Hamish Johnson ◽  
Jean-Christophe Comte ◽  
Ulrich Ofterdinger ◽  
Rachel Cassidy ◽  
Mads Troldborg

<p>The environmental fate and transport of nitrogen and phosphorus nutrient species leached from agroecosystems are largely influenced by the hydrogeological setting, which dictates the distribution of groundwater flow pathways, residence times, and physio-chemical properties of the subsurface. Traditional conceptual models tend to oversimplify these relationships, and their application towards river catchment nutrient management promotes insufficient characterisation of hydrogeological heterogeneity, which is subsequently not accounted for. Until recently, very little hydrogeological information and conceptual understanding existed for groundwater systems within the postglacial basement terranes of Scotland and Northern Ireland, due to an abundance of surface water resources and prevalence of poorly productive bedrock aquifers. Recent research has demonstrated the role of geological heterogeneity in determining the contaminant transport behaviour of these hard-rock aquifers, where the presence of weathering and fracturing can potentially result in the rapid delivery of nutrients to rural water supplies and groundwater-dependent ecosystems.</p><p>We aim to further elucidate the role of hydrogeological setting in river catchment nutrient dynamics to improve agricultural sustainability in geologically heterogeneous agricultural regions. This will be achieved by developing conceptual models of nutrient fate and transport for two contrasting agricultural river catchments. Here, we present preliminary conceptual models based on a literature review of groundwater systems within the same geological terranes, analysis of hydrochemical monitoring data, and accounting for catchment-specific features through desk studies of geological and airborne geophysical surveys.</p><p>The River Ythan is a groundwater-dominated lowland catchment within Scotland’s arable belt, designated a Nitrate Vulnerable Zone due to the eutrophication of its estuary. This catchment is geologically complex, with a variably metamorphosed and sheared Precambrian basement with igneous intrusions ranging from ultrabasic rocks to granite. This complexity is enhanced by the significant preservation of Tertiary weathering profiles and an extensive but discontinuous cover of glacial deposits derived from the saprolites. The superficial deposits create a shallow aquifer system characterized by oxic, well-mixed groundwaters with high nitrate concentrations. The bedrock groundwater bodies feature lower nitrate concentrations with variable denitrification rates, resulting from the relationships between lithology, tectonics, and weathering.</p><p>Two upland headwater sub-catchments of the Upper Bann River (Co. Down, Northern Ireland) drain either side of the contact between a granodiorite laccolith and Lower Palaeozoic metasedimentary rocks within an elevated drumlinoid landscape. Here, diffuse phosphorus exports to surface waters have not experienced the same extent of decline observed in storm runoff phosphorus following the implementation of nutrient management policies. Anoxic groundwaters favourable for denitrification may result in the release of previously adsorbed (legacy) phosphorus following the reductive dissolution of Fe (hydr)oxides. These conditions are generated by (a) confinement by thick, drumlinised clayey tills; and (b) bedrock structures promoting deep groundwater flow.</p><p>The site-specific conceptual models will be further developed through multi-scale geophysical characterisation of hydrogeological heterogeneity and constrained by the catchment-scale distribution of residence times derived from stable (<sup>2</sup>H, <sup>18</sup>O) and radioactive (<sup>3</sup>H) isotope compositions of groundwaters. These refined conceptual models can guide the development of numerical groundwater models and spatially targeted nutrient management.</p>


2001 ◽  
Author(s):  
Jianping Lu ◽  
Golam M. Newaz ◽  
Ronald F. Gibson

Abstract Aluminum hat section, either adhesively bonded or unbonded, experiences buckling, post buckling and plastic collapse when axially compressed. However, there exist obvious differences in the load response between the bonded and unbonded hat sections. Finite element eigenvalue buckling analysis is carried out to predict the buckling load and mode. Experiments show that when adhesively bonded hat sections begin to buckle there is a transformation from the first buckling mode to the higher ones, while the unbonded hat sections develop the post buckling based on the lowest buckling mode. The different buckling modes result in not only different buckling loads but different peak loads of the hat sections as well. Finally, the ultimate compressive strength formulae are proposed for the hat sections.


1969 ◽  
Vol 11 (4) ◽  
pp. 429-431 ◽  
Author(s):  
I. M. Bill ◽  
A. C. Mackenzie

When creep occurs in a structure subject to a step load the stresses redistribute with time. It is shown that if the initial stress distribution is the linear elastic one, and the material obeys an n-power creep law, the time for a particular stress to reach its steady state value may be estimated from the results of a single creep test at a selected value of stress with-out the parameters of the creep law being known. This reference stress is identified from the results of an appropriate elastic-creep analysis.


Author(s):  
Allison White ◽  
Hannah Abbott ◽  
Alfonse Masi ◽  
Kalyani Nair

Ankylosing spondylitis (AS) is a degenerative rheumatological disorder that mainly affects the spine. It has been reported that different degrees of human resting myofascial tone (HRMT) would affect spinal stability and may predispose to the respective curvature deformities of adolescent idiopathic scoliosis (AIS) and the enthesopathy of ankylosing spondylitis (AS). Although osteoligamentous impacts are prominently recognized in many chronic spine and low back conditions, no research has been performed on the possible role of passive axial (spinal) myofascial tone as a causative factor. In this particular study, the passive muscle properties of the lower lumbar regions of 24 healthy adults and 24 adult AS subjects were examined. Our recent publications examined the linear elastic properties among normal and AS subjects. In this study, those analyses are expanded to include detailed analysis and correlations of the linear elastic property of stiffness to two viscoelastic properties: stress relaxation time (SRT) and creep. Analyzed data supports the hypothesis that resting muscle properties of the lower lumbar muscles hold significance in differentiation of human back health between healthy and diseased subjects, but more testing should be performed to support this study’s results.


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