A 3D mortar method for solid mechanics

By Michael A. Puso. 2004

272 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ae596c5623c96b00b905f24f9865c4fa4121ceac

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In Computational Mechanics

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Isogeometric contact analysis using mortar method (2012, methodology): “Furthermore, the mortar method was mathematically studied [27] and has been applied to various fields such as frictional contact problems [28], large deformation problems [29–31] and 3D mortar approach [32].”
Efficient simulation of multi‐body contact problems on complex geometries: A flexible decomposition approach using constrained minimization (2009, methodology): “In this paper, the discretization of the coupling constraints is done in a weak sense by a modified mortar finite element method, see, e. g., [4, 5, 7], proposing the use of an L2-projection between non-matching meshes to allow for optimal error estimates.”
A new dual mortar method for curved interfaces: 2D elasticity (2005, methodology): “For j = 1, 2, we denote by nj = nxj ex + nyj ey and tj = t j ex + t j ey the normal and tangent vector ‡As prescribed in Reference [9], angular momentum conservation requires the additional step of relocating the nodal co-ordinate positions xh such that bmod h (xh, h) = 0.”
Isogeometric analysis and domain decomposition methods (2012, background): “A brief discussion of higher order (in particular quadratic) interpolation in connection with mortar contact methods can be found in Puso et al. [32] and in Fischer and Wriggers [11], a detailed analysis can be found in Hauret and Le Tallec [16].”
Transient three‐dimensional domain decomposition problems: Frame‐indifferent mortar constraints and conserving integration (2010, methodology): “n̄ ((1))=[n̄((1)) 1 , n̄((1)) 2 , n̄((1)) 3 , n̄((1)) 4 ] (67) Next a clipping algorithm as proposed in Puso [16] is used to determine the segments (Figure 3(b)), corresponding to each pair of elements e∈ ̄(1), where ̄(1) denotes the set of elements on the interface (1),h, and e2∈ ̄(2).”
A dual mortar approach for 3D finite deformation contact with consistent linearization (2010, methodology): “A simplified mortar coupling algorithm, performing integration not on the slave surface (1)h c , but on its geometrical approximation with piecewise flat segments, has been proposed in [7, 8, 29] and will also be employed here.”