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Locking-free compressible quadrilateral finite elements: Poisson’s ratio-dependent vector interpolants
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| Organization: | Columbia University |
| Department: | Department of Civil Engineering and Engineering Mechanics |
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In any high-quality viscoplastic calculation, the objectivity related to shape and constitutive parameter indifference is desirable, especially when a continuous deformation into concavity is tracked. In the physical x−y frame, quadratic displacement vectors—explicitly coupled via Poisson’s ratio—encompass bar and Euler–Bernoulli beam modes. Analytically, the unique set of shape functions yields nodal loads and the element stiffness matrix from its area and the first and second area moments. Closed-form Mathematica results exhibit full compliance with all requirements of Iron’s patch tests.
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