A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements

QR Code

A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements

We present a numerical formulation aimed at modeling the nonlinear response of elastic materials using large deformation continuum mechanics in three dimensions. This finite element formulation is based on the Eulerian description of motion and the transport of the deformation gradient. When modelin...

Full description

Bibliographic Details
Main Authors:	Duddu, R., Lavier, L., Hughes, T., Calo, Victor
Format:	Journal Article
Published:	Wiley InterScience 2012
Online Access:	http://hdl.handle.net/20.500.11937/51419

Similar Items

DynEarthSol2D: An efficient unstructured finite element method to study long-term tectonic deformation
by: Choi, E., et al.
Published: (2013)

An Hp-Adaptive Finite Element Procedure For Fluid-Structure Interaction In Fully Eulerian Framework
by: Abas, Mohamad Aizat
Published: (2013)

Isogeometric analysis of hyperelastic materials using petiGA
by: Bernal, L., et al.
Published: (2013)

Gaussian quadrature for splines via homotopy continuation: Rules for C2 cubic splines
by: Barton, M., et al.
Published: (2016)

On the preservation of fibre direction during axisymmetric hyperelastic mass-growth of a finite fibre-reinforced tube
by: Soldatos, Konstantinos
Published: (2018)

Linear B-spline finite element method for the improved Boussinesq equation
by: Lin, Qun, et al.
Published: (2008)

B-Splines Based Finite Difference Schemes For Fractional Partial Differential Equations
by: Akram, Tayyaba
Published: (2020)

A finite difference technique for solving incompressible fluid flow and energy equations on distributed parallel computer system
by: Manshoor, Bukhari, et al.
Published: (2006)

Assessment of compressive mechanical behavior of Bis-GMA polymer using hyperelastic models
by: Karimzadeh, Atefeh, et al.
Published: (2019)

Applications of Rigid-Plastic Finite Element Analysis Using Eulerian Meshing Scheme to Simulate Forging and Sheet Metal Clinching Processes
by: Cheong, Wen Chiet
Published: (2015)

Effect of closure models on Eulerian-Eulerian gas-solid flow predictions in riser
by: Shah, Milin, et al.
Published: (2014)

Simplified approach to validate constitutive model formulation of orthotropic materials undergoing finite strain deformation
by: Mohd Nor, Mohd Khir, et al.
Published: (2016)

Hyperelastic properties of bamboo fiber-reinforced silicone rubber biocomposites via compression test
by: Kamarul Bahrain, Siti Humairah, et al.
Published: (2022)

Numerical Solution Of Nonlinear Schrödinger Equations Based On B-Spline Galerkin Finite Element Method
by: Iqbal, Azhar
Published: (2020)

Derivatives of meromorphic functions of finite order
by: Langley, James
Published: (2014)

High-order hp-adaptive discontinuous Galerkin finite element methods for compressible fluid flows
by: Giani, Stefano, et al.
Published: (2010)

Development of the overlay formulation in finite element model
by: Akramin, M. R.M., et al.
Published: (2017)

Gauss–Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis
by: Barton, M., et al.
Published: (2017)

Randomized oversampling for generalized multiscale finite element methods
by: Calo, Victor, et al.
Published: (2016)

Scanning capacitance imaging of compressible and incompressible quantum Hall effect edge strips
by: Suddards, M.E., et al.
Published: (2012)

The cost of continuity: Performance of iterative solvers on isogeometric finite elements
by: Collier, N., et al.
Published: (2013)

Optimal quadrature rules for odd-degree spline spaces and their application to tensor-product-based isogeometric analysis
by: Barton, M., et al.
Published: (2016)

Higher-order compact finite difference schemes.
by: Yap, Wen Jiun, et al.
Published: (2011)

Finite element formulation of piezoelectric laminated composite plate
by: Mahmood, Iskandar Al-Thani, et al.
Published: (2011)

Finite element formulation for free vibration of composite beams
by: Mohd. Haniffah, Mohd. Ridza
Published: (2008)

Finite element simulation of compression tests on cellular metals
by: Oliveira, Branca F. de, et al.
Published: (2007)

Gaussian quadrature rules for C1 quintic splines with uniform knot vectors
by: Barton, M., et al.
Published: (2017)

Micropolar fluids using B-spline divergence conforming spaces
by: Sarmiento, A., et al.
Published: (2014)

Simulation of wireline sonic logging measurements acquired with Borehole-Eccentered tools using a high-order adaptive finite-element method
by: Pardo, D., et al.
Published: (2011)

On round-off error for adaptive finite element methods
by: Alvarez-Aramberri, J., et al.
Published: (2012)

Accurate geometric stiffness matrix formulation of beam finite element
by: Sulaeman, Erwin
Published: (2011)

Experimental geometric stiffness matrix formulation of beam finite element.
by: Sulaeman, Erwin
Published: (2011)

Formulation for multiple curved crack problem in a finite plate
by: Ghorbanpoor, R., et al.
Published: (2016)

Micropolar nano fluids using B-spline divergence conforming spaces
by: Sarmiento, A., et al.
Published: (2014)

Finite element analysis of composite cone under compression test
by: Ahmad Faiz, Fauzee
Published: (2009)

A direct solver with reutilization of LU factorizations for h-adaptive finite element grids with point singularities
by: Paszynski, M., et al.
Published: (2013)

Visco-hyperelastic model for soft rubber-like materials
by: Mohd Afandi P. Mohammed,
Published: (2014)

Visco-hyperelastic model for soft rubber-like materials
by: P. Mohammed, Mohd Afandi
Published: (2014)

High order continuous local-conserving fluxes and finite-volume-like finite element solutions for elliptic equations
by: Zou, Q., et al.
Published: (2017)

Multiscale modeling of blood flow: Coupling finite elements with smoothed dissipative particle dynamics
by: Moreno, N., et al.
Published: (2013)

Cannot write session to /tmp/vufind_sessions/sess_dvt4kag1hkqvcpu5bcueu4il12