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Abstract
The sensitized principle of virtual work is applied to modify the stiffness matrix of the ordinary four-node rectangular element by sensitizing terms. The sensitizing parameter values are determined by the single-element strain energy test. The reference solutions used are of bending mode types and their application removes the so-called parasitic shear behavior. A stiffness matrix of good quality is obtained corresponding exactly to an earlier formulation using incompatible modes.
Highlights
The four-node rectangular element sketched in Figure 1 is one of the first elements applied in structural mechanics, e.g. [1]
A more detailed discussion about the effect of domain slenderness, different locking phenomena, and properties of some formulations aiming at improved performance is available in [3]. We present still another attempt to improve the element behavior based on the sensitized principle of virtual work
The sensitized principle of virtual work is described in reference [4] and especially in the two-dimensional continuum case so the formulas presented are directly applicable here
Summary
The four-node rectangular element sketched in Figure 1 is one of the first elements applied in structural mechanics, e.g. [1]. The four-node rectangular element sketched in Figure 1 is one of the first elements applied in structural mechanics, e.g. Details concerning the application of this element in plane stress or plane strain elastic cases are reported e.g. in [2] and [3]. Reference [2] explains in a very illustrative way certain deficiencies (for example the so-called parasitic shear) of the element and ways to improve its behavior. A more detailed discussion about the effect of domain slenderness, different locking phenomena, and properties of some formulations aiming at improved performance is available in [3]. We present still another attempt to improve the element behavior based on the sensitized principle of virtual work
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