Mixed-dimensional finite element coupling for structural multi-scale simulation

Wang, F.Y.; Xu, You Lin; Qu, Weilian

doi:10.1016/j.finel.2014.07.009

Cited by 35 publications

(17 citation statements)

References 22 publications

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“…Beam‐to‐solid submodeling method aims to obtain the boundary information (displacements and rotations or forces and moments) from beam elements and then transform to local refined solid model so as to capture detail localized information under efficient computation, as illustrated in Figure . The global FE model of the whole structures is created using beam elements and the local submodel of the concerned region is separately created using solid elements, where the FE software ANSYS 14.5 can be used. In the submodel, pilot nodes are one‐to‐one created according to the boundary nodes of the global model and multi‐point coupling (MPC) is defined between the pilot node and its corresponding slave node component so as to allow both displacement compatibility and stress equilibrium .…”

Section: Global‐local Analysismentioning

confidence: 99%

“…Basic models (ie, Beam or beam‐link models) are inaccurate in fatigue analysis without including the detail geometry of components and the local plasticity of critical regions, whereas the refined model (ie, solid or shell model) of the whole structure usually consumes costly computational resources . Hence, the global‐local model that associates the global basic model and local refined model is desirable to achieve good balance between cost and efficiency in fatigue analysis . The global basic model is used to obtain global behaviors of the structure under loading and boundaries for the local refined model, and the local refined model can be utilized to capture localized information under the boundaries to account for global fatigue response.…”

Section: Introductionmentioning

confidence: 99%

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Global‐local fatigue assessment of an ancient riveted metallic bridge based on submodelling of the critical detail

Liu

Correia

Carvalho

et al. 2018

Fatigue Fract Eng Mat Struct

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Increasing traffic demands (ie, load intensity and operational life) on ancient riveted metallic bridges and the fact that these bridges were not explicitly designed against fatigue make the fatigue performance assessment and fatigue life prediction of riveted bridges a concern. This paper proposes a global‐local fatigue analysis method that integrates beam‐to‐solid submodeling, elastoplastic of material in local region, and local fatigue life prediction approach. The proposed beam‐to‐solid submodeling can recognize accuracy local stress/strain information accompanying with the global structural effect on the fatigue response of local riveted joints. The fatigue life is predicted based on cumulative damage rule, local strains, and number of cycles with consideration of traffic data, where the relation between the fatigue life and local strain is derived according to the Basquin and Manson‐Coffin law. Besides, the elastoplastic of material is considered. The proposed methodology for fatigue life prediction based on local strain parameter and the Palmgren‐Miner linear damage hypothesis is implemented in a case study of an ancient riveted bridge.

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Section: Global‐local Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Global‐local fatigue assessment of an ancient riveted metallic bridge based on submodelling of the critical detail

Liu

Correia

Carvalho

et al. 2018

Fatigue Fract Eng Mat Struct

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“…Figure 3 shows the contact interaction between angle member, gusset plate and bolt of the local joint. Finally, the interface of the angle member between the solid and beam elements is coupled by using the constraint method recently developed by the authors [30]. The new constraint method is briefly described in the following section for the sake of completion and easy understanding.…”

Section: Multi-scale Modeling Of the Transmission Towermentioning

confidence: 99%

“…The matrix T C can be regarded as a distribution matrix to distribute the forces or moment at the beam node to the solid nodes at the interface, and one column of the distribution matrix T C actually corresponds to the nodal forces of the solid at the interface under unit force or moment. Therefore, a numerical method has been developed to calculate the nodal forces of the solid by applying unit force or moment and finally to construct the distribution matrix T C [30]. Once distribution matrix is obtained, the displacement constraint equation can be easily found by the transpose of the distribution matrix.…”

Section: Interface Coupling Of Mixed-dimensional Elementsmentioning

confidence: 99%

“…Nevertheless, although there are several types of MPC in existing FE software, inaccurate constraint equations due to inappropriate assumptions may result in stress disturbance at the interface. The authors recently developed a reliable method for constructing appropriate MPC to guarantee the displacement compatibility and stress equilibrium at the multi-scale interface [30].…”

Section: Introductionmentioning

confidence: 99%

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Concurrent Multi-Scale Modeling of a Transmission Tower Structure and Its Experimental Verification

Wang¹,

Xu²,

Zhan³

2017

Volume 13 Number 3

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ABSTRACT:The interruption of electrical service due to failure of transmission tower structures can have devastating economic and social consequences. The current method for analyzing transmission tower structures is often to treat the angle members of the tower as either pin-ended truss elements or fix-ended beam elements. This approach ignores the effects of joint flexibility, local geometric and material nonlinearity, bolt slippage and deformation, making the structural analysis and design of the tower inadequate. In an effort to improve the structural analysis of transmission tower structures, this study aims at developing a multi-scale modeling method for transmission tower structures, in which critical joints of the tower are modeled using solid elements in a great detail while other members are modeled with common beam elements. The critical joint model includes gusset plates, angle members and bolts. The effects of local geometric and material nonlinearity and the contact problem between the bolts, plates and angles are all taken into consideration. New multi-point constraints for beam-to-solid connections at interface developed by the authors are used to couple the critical local joint model with the beam elements to form a multi-scale model of the tower. To verify the multi-scale modeling method, a physical model of a transmission tower structure was constructed and tested. The displacement and strain response of the tower model measured from the static tests are compared with the numerical results. The dynamic characteristics of the tower model identified from the dynamic tests are also compared with the numerical results. The comparative results show that the multi-scale modeling method is feasible and accurate for simultaneously predicting both global and local responses as well as estimating dynamic characteristics of the transmission tower structure.

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On crack simulation by mixed‐dimensional coupling in GFEM with global‐local enrichments

Gomes,

Barros

2024

Numerical Meth Engineering

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A strategy that combines the global‐local version of the generalized finite element method (GFEM) with a mixed‐dimensional coupling iterative method is proposed to simulate two‐dimensional crack propagation in structures globally represented by Timoshenko‐frame models. The region of interest called the local problem, where the crack propagates, is represented by a 2D elasticity model, where a fine mesh of plane stress/strain elements and special enrichment functions are used to describe this phenomenon accurately. A model of Timoshenko‐frame elements simulates the overall behavior of the structure. A coarse mesh of plane stress/strain elements provides a bridge between these two representation scales. The mixed‐dimensional coupling method imposes displacement compatibility and stress equilibrium at the interface between the two different element types by an iterative procedure based on the principle of virtual work. After establishing the constraint equations for the interface, the 2D elasticity model is related to the small‐scale model by the global‐local enrichment strategy of GFEM. In such a strategy, the numerical solutions of the local problem subjected to boundary conditions derived from the global‐scale problem enrich the approximation of this same global problem in an iterative procedure. Each step of the crack propagation requires a new sequence of this iterative global‐local procedure. On the other hand, the constraint equation for the interface is defined only once. The crack representation in a confined region by the global‐local strategy avoids a remeshing that would require new constraint equations. Two numerical problems illustrate the proposed strategy and assess the influence of the analysis parameters.

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Mixed-dimensional finite element coupling for structural multi-scale simulation

Cited by 35 publications

References 22 publications

Global‐local fatigue assessment of an ancient riveted metallic bridge based on submodelling of the critical detail

Global‐local fatigue assessment of an ancient riveted metallic bridge based on submodelling of the critical detail

Concurrent Multi-Scale Modeling of a Transmission Tower Structure and Its Experimental Verification

On crack simulation by mixed‐dimensional coupling in GFEM with global‐local enrichments

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