Abstract
Displacement field calculations are necessary for many structural steel engineering problems such as cold expansion of holes, embedment of bolts and rivets, and installation and maintenance of external devices. To this end, rigorous closed form analytical displacement solution is obtained for structural steel open-hole plates with in-plane loading. The material of the model is considered to be elastic perfectly plastic obeying the von Mises yield criterion with its associated flow rule. On the basis of this solution, two simplified engineering formulae are proposed and carefully discussed for practical engineering purposes. Graphical representations of results show validity of each formula as compared with rigorous solution and other studies.
Highlights
Displacement field calculation around stress concentrators in steel structural members is on-going engineering task which is necessary for a number of reasons
It provides the basis for specific industrial codes and regulations such as AISC or Eurocodes, makes substantial part of commercial software based on finite element method (FEM), and proves validity of initial stress solutions
Since experimental results show that the strength of most metal materials is better described by the Mises yield condition [11], the model is based on this criterion with its associated flow rule and elastic perfectly plastic material behavior
Summary
Displacement field calculation around stress concentrators in steel structural members is on-going engineering task which is necessary for a number of reasons. For mild and high strength steels, this difference in structural expectation from the technological processes may influence the methodology of displacement evaluation based on the same geometrical model of a plate with central hole subjected to internal pressure Such a model is commonly used both in analytical and numerical calculations dealing with either cold expansion process (with its applications) [1, 3,4,5,6,7] or with bolt connections [2, 8,9,10]. Since experimental results show that the strength of most metal materials is better described by the Mises yield condition [11], the model is based on this criterion with its associated flow rule and elastic perfectly plastic material behavior Such material model permits getting uncoupled stress solution and considering separately strain-displacement fields. The general formulation of the problem used in the current research allows the total deformation in the plastic zone to be considered as the sum of elastic and plastic parts taking into account compressibility of the material
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