Hybrid BE-FE Stress Analysis of the Excavation of a Tunnel Bifurcation on the Basis of a Substructuring Technique

Eberhardsteiner, Josef; Mang, Herbert A.; Torzicky, P.

doi:10.1007/978-3-642-51027-4_5

Cited by 7 publications

(3 citation statements)

References 3 publications

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“…This is based on the fundamental formulation for both the methods. The earlier efforts at integrating boundary elements and finite elements have been problematic and inefficient due to the unsymmetrical nature of the boundary element method [1][2][3]. This process becomes even more cumbersome in a typical assembly process.…”

Section: Introductionmentioning

confidence: 98%

A coupling of multi‐zone curved Galerkin BEM with finite elements for independently modelled sub‐domains with non‐matching nodes in elasticity

Ganguly¹,

Layton²,

Balakrishna³

2004

Numerical Meth Engineering

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SUMMARYWhen the different parts of a structure are modelled independently by BEM or FEM methods, it is sometimes necessary to put the parts together without remeshing of the nodes along the part interfaces. Frequently the nodes do not match along the interface. In this work, the symmetric Galerkin multi-zone curved boundary element is a fully symmetric formulation and is the method used for the boundary element part. For BEM-FEM coupling it is then necessary to interpolate the tractions in-between the non-matching nodes for the FEM part. Finally, the coupling is achieved by transforming the finite element domains to equivalent boundary element domains in a block symmetric formulation. This system is then coupled with a boundary element domain with non-matching nodes in-between.

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Section: Introductionmentioning

confidence: 98%

A coupling of multi‐zone curved Galerkin BEM with finite elements for independently modelled sub‐domains with non‐matching nodes in elasticity

Ganguly¹,

Layton²,

Balakrishna³

2004

Numerical Meth Engineering

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“…In order to take advantage of FEM and BEM, their coupling has been investigated extensively in several engineering ÿelds, such as geomechanics [5][6][7], solid mechanics [8][9][10][11][12], fracture mechanics [13], and electromagnetics [14,15]. There are mainly three di erent approaches to the problem: BEM hosted, FEM hosted, and one that cannot be categorized in either approach.…”

Section: Introductionmentioning

confidence: 99%

Transient heat conduction analysis in a piecewise homogeneous domain by a coupled boundary and finite element method

Guven

Madenci

2002

Numerical Meth Engineering

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SUMMARYA coupled ÿnite element-boundary element analysis method for the solution of transient two-dimensional heat conduction equations involving dissimilar materials and geometric discontinuities is developed. Along the interfaces between di erent material regions of the domain, temperature continuity and energy balance are enforced directly. Also, a special algorithm is implemented in the boundary element method (BEM) to treat the existence of corners of arbitrary angles along the boundary of the domain.Unknown interface uxes are expressed in terms of unknown interface temperatures by using the boundary element method for each material region of the domain. Energy balance and temperature continuity are used for the solution of unknown interface temperatures leading to a complete set of boundary conditions in each region, thus allowing the solution of the remaining unknown boundary quantities.The concepts developed for the BEM formulation of a domain with dissimilar regions is employed in the ÿnite element-boundary element coupling procedure. Along the common boundaries of FEM-BEM regions, uxes from speciÿc BEM regions are expressed in terms of common boundary (interface) temperatures, then integrated and lumped at the nodal points of the common FEM-BEM boundary so that they are treated as boundary conditions in the analysis of ÿnite element method (FEM) regions along the common FEM-BEM boundary.

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“…This process becomes even more cumbersome in a typical assembly process. When the different parts of a structure are modeled independently of each other in a sub-domain format, it is important to keep account of the fact that the nodes at the interfaces match exactly [12,23,33]. Additionally, for the cases where the piezoelectric device is very small relative to the host structure, finite element is not a very effective numerical tool and usually the required grid numbers are too large that it is not economical anymore.…”

Section: Introductionmentioning

confidence: 99%

A FEM-BEM interactive coupling for modeling the piezoelectric health monitoring systems

Shah

2011

Lat. Am. j. solids struct.

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In this research, finite element and boundary element methods are coupled together to model the interaction of a piezoelectric ceramic working as an actuator with an elastic material. Piezoelectric-elastic material's interaction occurs in smart structures. This work is aimed at determining the actuation effects being transferred from the actuators to the host and the resulting overall structural response. To obtain the amount of these actuations, the system of the host structure and an actuator has been modeled by using coupled finite element boundary element method in frequency domain. The host structure, which is assumed as an isotropic elastic solid region is modeled as a half space. The piezoelectric ceramic region is modeled by the 3-D finite element method, while the elastic half space with boundary element method. Finite element model of piezoelectric ceramic and boundary element model of the elastic half space are coupled together at their interface such that the vibrations of the piezo-actuator induce vibrations in the elastic half space. A couple of examples are given to show the induced displacement field around the piezo-actuator on the surface of the elastic medium. The results show that high jump in magnitude of horizontal displacements at the corners of the actuator attached to the structure occurs, which is an indication of high stress concentration, of the shear stress type at the corners. This stress concentration sometimes causes complete debonding of the actuator from the base structure. By using the suggested BEM-FEM coupled model for actuators with different dimensions or material properties much useful information concerning the amount of actuation and load transfer can be obtained. The presented work is a step towards modeling of structural health monitoring systems.

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Hybrid BE-FE Stress Analysis of the Excavation of a Tunnel Bifurcation on the Basis of a Substructuring Technique

Cited by 7 publications

References 3 publications

A coupling of multi‐zone curved Galerkin BEM with finite elements for independently modelled sub‐domains with non‐matching nodes in elasticity

A coupling of multi‐zone curved Galerkin BEM with finite elements for independently modelled sub‐domains with non‐matching nodes in elasticity

Transient heat conduction analysis in a piecewise homogeneous domain by a coupled boundary and finite element method

A FEM-BEM interactive coupling for modeling the piezoelectric health monitoring systems

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