A Phantom-Node Method with Edge-Based Strain Smoothing for Linear Elastic Fracture Mechanics
This paper presents a novel numerical procedure based on the combination of an edge-based smoothed finite element (ES-FEM) with a phantom-node method for 2D linear elastic fracture mechanics. In the standard phantom-node method, the cracks are formulated by adding phantom nodes, and the cracked elem...
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| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/978026 |
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| Summary: | This paper presents a novel numerical procedure based on the
combination of an edge-based smoothed finite element (ES-FEM) with
a phantom-node method for 2D linear elastic fracture mechanics. In
the standard phantom-node method, the cracks are formulated by
adding phantom nodes, and the cracked element is replaced by two
new superimposed elements. This approach is quite simple to
implement into existing explicit finite element programs. The
shape functions associated with discontinuous elements are similar
to those of the standard finite elements, which leads to certain
simplification with implementing in the existing codes. The
phantom-node method allows modeling discontinuities at an
arbitrary location in the mesh. The ES-FEM model owns a
close-to-exact stiffness that is much softer than lower-order
finite element methods (FEM). Taking advantage of both the ES-FEM
and the phantom-node method, we introduce an edge-based strain
smoothing technique for the phantom-node method. Numerical results
show that the proposed method achieves high accuracy compared with
the extended finite element method (XFEM) and other reference
solutions. |
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| ISSN: | 1110-757X 1687-0042 |