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20122026
most citedA NURBS-based Inverse Analysis for Reconstruction of Nonlinear Deformations of Thin Shell Structures

173 citations · 1.4k across the 55 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

cond-mat.mtrl-sci2022★ 1 cited

A new efficient ab-initio approach for calculating the bending stiffness of 2D materials

Farzad Shirazian, Roger A. Sauer

This work proposes a new efficient approach for calculating the bending stiffness of two-dimensional materials using simple atomistic tests on small periodic unit cells. The tests…

math.NA2022★ 3 cited

New hybrid quadrature schemes for weakly singular kernels applied to isogeometric boundary elements for 3D Stokes flow

Maximilian Harmel, Roger Andrew Sauer

This work proposes four novel hybrid quadrature schemes for the efficient and accurate evaluation of weakly singular boundary integrals (1/r kernel) on arbitrary smooth surfaces. S…

cs.CE2022★ 2 cited

A new anisotropic bending model for nonlinear shells: Comparison with existing models and isogeometric finite element implementation

Eshwar J. Savitha, Roger A. Sauer

A new nonlinear hyperelastic bending model for shells formulated directly in surface form is presented, and compared to four prominently used bending models. Through an essential s…

math.NA2022

An isogeometric finite element formulation for frictionless contact of Cosserat rods with unconstrained directors

Myung-Jin Choi, Sven Klinkel, Roger A. Sauer

This paper presents an isogeometric finite element formulation for nonlinear beams with impenetrability constraints, based on the kinematics of Cosserat rods with unconstrained dir…

cs.CE2022★ 8 cited

An isogeometric finite element formulation for boundary and shell viscoelasticity based on a multiplicative surface deformation split

Karsten Paul, Roger A. Sauer

This work presents a numerical formulation to model isotropic viscoelastic material behavior for membranes and thin shells. The surface and the shell theory are formulated within a…