173 citations · 1.4k across the 55 of their papers we have counts for
8 papers · 1 filter
Arbitrary Lagrangian--Eulerian finite element method for curved and deforming surfaces. I. General theory and application to fluid interfaces
Amaresh Sahu, Yannick A. D. Omar, Roger A. Sauer +1
An arbitrary Lagrangian--Eulerian (ALE) finite element method for arbitrarily curved and deforming two-dimensional materials and interfaces is presented here. An ALE theory is deve…
The multiplicative deformation split for shells with application to growth, chemical swelling, thermoelasticity, viscoelasticity and elastoplasticity
Roger A. Sauer, Reza Ghaffari, Anurag Gupta
This work presents a general unified theory for coupled nonlinear elastic and inelastic deformations of curved thin shells. The coupling is based on a multiplicative decomposition…
A concise frictional contact formulation based on surface potentials and isogeometric discretization
Thang X. Duong, Roger A. Sauer
This work presents a concise theoretical and computational framework for the finite element formulation of frictional contact problems with arbitrarily large deformation and slidin…
A finite membrane element formulation for surfactants
Farshad Roohbakhshan, Roger A. Sauer
Surfactants play an important role in various physiological and biomechanical applications. An example is the respiratory system, where pulmonary surfactants facilitate the breathi…
Continuum contact models for coupled adhesion and friction
Janine C. Mergel, Riad Sahli, Julien Scheibert +1
We develop two new continuum contact models for coupled adhesion and friction, and discuss them in the context of existing models proposed in the literature. Our new models are abl…
A new efficient hyperelastic finite element model for graphene and its application to carbon nanotubes and nanocones
Reza Ghaffari, Roger A. Sauer
A new hyperelastic material model is proposed for graphene-based structures, such as graphene, carbon nanotubes (CNTs) and carbon nanocones (CNC). The proposed model is based on a…
Computational synthesis of large deformation compliant mechanisms undergoing self and mutual contact
Prabhat Kumar, Anupam Saxena, Roger A. Sauer
Topologies of large deformation Contact-aided Compliant Mechanisms (CCMs), with self and mutual contact, exemplified via path generation applications, are designed using the contin…
Modal analysis of graphene-based structures for large deformations, contact and material nonlinearities
Reza Ghaffari, Roger A. Sauer
The nonlinear frequencies of pre-stressed graphene-based structures, such as flat graphene sheets and carbon nanotubes, are calculated. These structures are modeled with a nonlinea…