2002
DOI: 10.1007/s003660200021
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Mixed Dimensional Coupling in Finite Element Stress Analysis

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Cited by 82 publications
(37 citation statements)
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“…forming the constraints between different degree of freedom using MPC equations, and solving the incoordinate between the different dimensional elements. Such as, McCune et al [10] and Shim et al [11] proposed an MPC equation deduction procedure for connection different elements based on the work reciprocal theorem in the interface; according to the global analysis results of a long span bridge, Li et al [4] indicated that the multi-scale model using MPC can be utilized to calculate the local thermal stress.…”
Section: The Common Methods Used In Structural Local Refined Modelingmentioning
confidence: 99%
“…forming the constraints between different degree of freedom using MPC equations, and solving the incoordinate between the different dimensional elements. Such as, McCune et al [10] and Shim et al [11] proposed an MPC equation deduction procedure for connection different elements based on the work reciprocal theorem in the interface; according to the global analysis results of a long span bridge, Li et al [4] indicated that the multi-scale model using MPC can be utilized to calculate the local thermal stress.…”
Section: The Common Methods Used In Structural Local Refined Modelingmentioning
confidence: 99%
“…Compared to the Shell-to-Solid coupling option available in the finite element software Abaqus [10], the method is shown to eliminate the undesirable stress disturbances at the interface between differently-discretized subdomains in the case of isotropic elastic material. However, the local/global coupling must be carried at a sufficient distance from boundaries and/or discontinuities in the model [11]. In addition, the accurate derivation of the MPC equations for composite materials may become impracticable [12].…”
Section: Multi-dimensional Finite Elements Couplingmentioning
confidence: 99%
“…It is important to study the coupling modes for realizing the incorporation of different dimensional elements in multiscale numerical model. McCune et al [13] proposed a method that can correctly couple beam elements to shell elements and shell elements to solid elements, and Shim et al [14] provided a novel relationship among nodal degrees of freedom between the different dimensional element types in elastic regions. In addition, the multiscale numerical simulation was also applied to bridge engineering to analyze the damage process of bridges [15][16][17].…”
Section: Introductionmentioning
confidence: 99%