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عنوان فارسی مقاله:
مدلسازی تحلیلی در تجزیه و تحلیل تغییر شکل سازه تداخل مناسب
عنوان انگلیسی مقاله:
Analytical Modeling in Deformation Analysis of Interference-Fit Structures
سال انتشار : 2016
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مقدمه انگلیسی مقاله:
1. Introduction
In preliminary engineering design of compound structures such as double-shear riveted/bolted joints or pressurized containers, the modeling of cold expansion and shrink-fit processes is of great importance. The modeling of cold expansion process is usually made either with a removable or with a stay-in mandrel. The assumptions of plane-stress, the Huber–Mises–Hencky (HMH) yield criterion and elastic-perfectly-plastic or specifically hardening materials are preferred. Most of the papers devoted to compound structures consider a removable (rigid) mandrel to describe residual stress field near the fastener-hole location [1–6]. On the other hand, a stay-in mandrel is also used to describe bolted structures with an elastic bolt or insert [7,8]. The modeling of shrink-fit process as a means of solving structural engineering applications was comprehensively developed by Gamer and his co-workers on the basis of the Tresca yield criterion [9–13] influenced by the earlier works of Lundberg [14] with the HMH yield criterion and Kollmann [15] with the Tresca yield criterion. Following these theoretical studies, some combined technological processes have been successfully modeled and solved such as a) interference-fit of two circular tubes executed by cold expansion technique with or without clearance between fitting parts. This type of modeling presumes completely plastic inner part (insert) while the outer part (plate) may be elastic, elasto-plastic, or fully plastic. It was possible to get analytical solutions to this problem by employing the Tresca yield criterion and elastic-perfectly-plastic material [16,17]. b) Cold expansion of a hole with subsequent application of internal pressure or remote load [18]. c) Shrink-fit with subsequent application of internal or external pressure for fitting parts made of different materials. This problem was amenable to analytical solution due to the HMH yield criterion and assumption of plane-strain state [19]. d) Shrink-fit followed by cold expansion process [20]. Meanwhile, for analytical procedures developed to assess compound structures, the HMH yield criterion is preferred, particularly, when the elastic-perfectly-plastic material is involved. It was specifically outlined by Gamer [11] that in this case for some working pressures the Tresca yield criterion leads to a discontinuous stress field near the hole of the plate and discontinuous displacement field at the insert/ plate interface. Analytical solutions based on the HMH yield criterion all have their origin in the work of Nadai [21] who obtained distribution of stresses in an infinite plate with a circular hole subjected to uniform radial pressure. The material of the plate was assumed to be incompressible elastic-perfectly-plastic. This assumption together with a parametrization of the yield criterion permitted to derive a simple, elegant closedform stress solution. Later on, this parametrization technique was used by Budiansky [22] who proposed a modified Ramberg–Osgood law to solve analytically the problem of orthotropic in thickness direction plate. Budiansky's procedure was successfully adopted both for in- finite [1] and finite [2] plate models to obtain residual stress fields based on elastic unloading. The more advanced analysis of residual stresses with reverse yielded zones belongs to Ball [8] and Zhang et al. [23] for an infinite and finite annular plate, respectively. However, only the stress-displacement solutions were covered in both studies. As concerning elastic-perfectly-plastic material, reverse yielded zones were considered in [6], and, within elastic unloading assumption, various engineering stress solutions were presented by Aleksandrova [24] to discuss specific applications to bolted structures and pressurized containers. The comparison of various analytical models in terms of their abilities to predict residual stresses is given in [23,25–26]. As it follows from the above, analytical works on thin compound structures have been mostly devoted to residual stress analysis rather than the determination of the strain field. This justifies such assumptions as incompressible material both in the elastic and plastic zones of the plate or neglect of elastic strains in the plastic zone. However, the knowledge of the strain field is important both from the academic and engineering points of view. From the academic point of view, its importance is in the validation of the stress solution, that is, the complete stress–strain field must be continuous (not only the stress field). This is a particular concern for an elastic-perfectly-plastic material [11,27–28]. From the engineering point of view, strain analysis is important for final structural design and selection of a reliable failure criterion. However, at the moment, there is a lack of analytical research specifically devoted to the strain analysis of interference-fit structures leading to formulation of a reliable failure criterion. So, the objective of this study is to conduct such research as an extension of the earlier work on stresses [24].
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کلمات کلیدی:
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