Contact modeling using step boundary method for immersed boundary finite element method

Immersed boundary finite element method (IBFEM) seeks to use accurate geometry of structures defined using equations of its boundaries and immersed in a background mesh for finite element analysis. The background mesh is non-conforming and is often a uniform Cartesian mesh which is used to approxima...

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Published in:	Computational mechanics Vol. 75; no. 3; pp. 1061 - 1079
Main Authors:	Nittala, Srikar S., Kumar, Ashok V.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2025 Springer Nature B.V
Subjects:	Boundary conditions Classical and Continuum Physics Computational Science and Engineering Elastic deformation Engineering Exact solutions Finite element analysis Finite element method Geometry Modelling Original Paper Theoretical and Applied Mechanics Interference fit problems Hertzian contact problems Immersed boundary finite element method Contact modeling Step boundary method
ISSN:	0178-7675, 1432-0924
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Abstract	Immersed boundary finite element method (IBFEM) seeks to use accurate geometry of structures defined using equations of its boundaries and immersed in a background mesh for finite element analysis. The background mesh is non-conforming and is often a uniform Cartesian mesh which is used to approximate the trial solution. A variety of approaches to apply boundary conditions and evaluate stiffness have been proposed in the literature. A method for modeling contact between solids for IBFEM is presented where the equations of the contacting boundaries are used to construct trial solutions that satisfy contact conditions at the interface between solids. The method is applied here for small deformation elastic problems to model tied contact with or without initial gap or interference between the undeformed geometry of the objects. This approach is particularly suited for IBFEM because the background mesh does not conform to the geometry of the analysis domain and the nodes of the mesh may not be on the boundaries or the contact interfaces. Several contact problems that have analytical solutions are used here to validate the step boundary method.
AbstractList	Immersed boundary finite element method (IBFEM) seeks to use accurate geometry of structures defined using equations of its boundaries and immersed in a background mesh for finite element analysis. The background mesh is non-conforming and is often a uniform Cartesian mesh which is used to approximate the trial solution. A variety of approaches to apply boundary conditions and evaluate stiffness have been proposed in the literature. A method for modeling contact between solids for IBFEM is presented where the equations of the contacting boundaries are used to construct trial solutions that satisfy contact conditions at the interface between solids. The method is applied here for small deformation elastic problems to model tied contact with or without initial gap or interference between the undeformed geometry of the objects. This approach is particularly suited for IBFEM because the background mesh does not conform to the geometry of the analysis domain and the nodes of the mesh may not be on the boundaries or the contact interfaces. Several contact problems that have analytical solutions are used here to validate the step boundary method.
Author	Nittala, Srikar S. Kumar, Ashok V.
Author_xml	– sequence: 1 givenname: Srikar S. surname: Nittala fullname: Nittala, Srikar S. organization: Department of Mechanical and Aerospace Engineering, University of Florida – sequence: 2 givenname: Ashok V. surname: Kumar fullname: Kumar, Ashok V. email: akumar@ufl.edu organization: Department of Mechanical and Aerospace Engineering, University of Florida
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Title	Contact modeling using step boundary method for immersed boundary finite element method
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