Journal Article10.1007/S11012-017-0796-9
Using co-rotational method for cracked frame analysis
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TL;DR: In this paper, a cracked element is formulated using the two-filed Hellinger-Reissner functional and a clear step-by-step algorithm for the element state determination is also presented.
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Abstract: A cracked element is formulated using the two-filed Hellinger–Reissner functional.
Due to utilization of the linear elastic fracture mechanics, only geometrical nonlinearities can be considered for the cracked element. A clear step-by-step algorithm for the element state determination is also presented. The element flexibility matrix is derived in a basic coordinate system. Co-rotational approach is used to transform the element stiffness matrix and the resisting force vector from the basic system to the global one.
The suggested element is applicable for static and dynamic analysis, as well as, the stress intensity factor calculation, and also inverse crack detection. Various numerical problems verify accuracy of the proposed element for linear and nonlinear structural analysis.
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Citations
Vibration and static analysis of cracked and non-cracked non-prismatic frames by force formulation
TL;DR: In this article, consistent mass and stiffness matrices are formulated for a new frame element with stable open edge cracks, which is applicable for both frame vibration and static analyses, and the proposed element has a non-prismatic property.
17
Using Higher-Order Strain Interpolation Function to Improve the Accuracy of Structural Responses
TL;DR: In this paper, the accuracy of the finite element method has a direct relation with the type of elements and meshes and another issue which has remained less treated is the impact of loading loading.
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A new higher-order strain-based plane element
TL;DR: In this paper, a new higher-order triangular plane element with drilling degrees of freedom is proposed by assumption of second-order strain field, and a series of benchmark problems are solved to evaluate performance of the suggested element.
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Strain-based plane element for fracture mechanics’ problems
TL;DR: In this paper, a triangular cracked plane element is proposed for application in fracture mechanics problems, which is based on the strain formulation and the compliance concept, and the additional flexibility caused by the crack is computed based on linear elastic fracture mechanics.
15
Force-based curved beam elements with open radial edge cracks
TL;DR: In this article, two deformable curved elements were developed for the analysis of circular and generally curved beams, which removed both shear and membrane lock deficiencies in the beam analysis process.
12
References
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The stress analysis of cracks handbook
Hiroshi Tada,Paul C. Paris,George R. Irwin +2 more
- 01 Jan 2000
TL;DR: The Stress Analysis of Cracks Handbook as mentioned in this paper provides a comprehensive, easy-to-access collection of elastic stress solutions for crack configurations, along with other relevant information, such as displacements, crack opening areas, basic stress functions source references, accuracy of solutions, and more.
The Stress Analysis of Cracks Handbook, Third Edition
Hiroshi Tada,Paul C. Paris,George R. Irwin +2 more
- 01 Jan 2000
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Crack tip finite elements are unnecessary
R. D. Henshell,K. G. Shaw +1 more
TL;DR: In this paper, it was shown that a singularity occurs in isoparametric finite elements if the mid-side nodes are moved sufficiently from their normal position to obtain a more accurate solution to the problem of determining the stress intensity at the tip of a crack.
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Stress Intensity factor, compliance and CMOD for a General Three-Point-Bend Beam
TL;DR: New simple and general expressions for the stress intensity factor, compliance and crack mouth opening displacement for three-point bend specimens are computed and exhibit the correct asymptotic behaviour for very shallow and very deep cracks.
224
Geometrically Nonlinear Flexibility-Based Frame Finite Element
TL;DR: In this article, a new element for geometrically nonlinear analysis of frame structures is presented, which is flexibility based and uses force interpolation functions for the bending moment variation that depend on the transverse displacements and strictly satisfy equilibrium in the deformed configuration.
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