Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
A quasi-inextensible and quasi-incompressible finite element formulation for transversely anisotropic hyperelastic solids and soft biological tissues
Date
2017-09-07
Author
Dal, Hüsnü
Metadata
Show full item record
Item Usage Stats
141
views
0
downloads
Cite This
The contribution presents a novel finite element formulation for quasi-inextensible and quasi-incompressiblefinite hyperelastic behaviour of transeversely anisotropic materials and addresses its computational aspects.The formulation is presented in purely Eulerian setting and based on the additive decomposition of the freeenergy function into isotropic and anisotropic parts where the former is further decomposed into isochoricand volumetric parts. For the quasi-incompressible response the Q1P0 element formulation is outlinedbriefly where the pressure-type Lagrange multiplier and its conjugate enter the variational formulationas anextended set of variables. Using the similar argumentation an extended Hu-Washizu-type mixedvariational potential is introduced where the volume averaged fiber stretch and fiber stress are additional fieldvariables. Within this context, the resulting Euler-Lagrange equations and the element formulation resultingfrom the extended variational principle are derived[1]. The numerical implementation exploits the underlyingvariational structure leading to a canonical symmetric structure.The efficiency of the proposed approachedis demonstrated through representative boundary value problems. The superiority of the proposed elementformulation over the standard Q1-and Q1P0-element formulation is studied through convergence analyses.The proposed finite element formulation is modular and shows excellent performance for fiber-reinforcedelastomers in the inextensibility limit.We demonstrate the performance of the proposed formulationin terms of representative boundaryvalue problems applied to (i)fiber-reinforced elastomeric solidsand (ii)soft biological tissues.
URI
http://congress.cimne.com/complas2017/Admin/Files/FileAbstract/a400.pdf
https://hdl.handle.net/11511/71674
Conference Name
XIV International Conference on Computational Plasticity. Fundamentals and Applications (05 - 07 September 2017 )
Collections
Department of Mechanical Engineering, Conference / Seminar
Suggestions
OpenMETU
Core
A quasi-incompressible and quasi-inextensible element formulation for transversely isotropic materials
Dal, Hüsnü (Wiley, 2019-01-06)
The contribution presents a new finite element formulation for quasi-inextensible and quasi-incompressible finite hyperelastic behavior of transeversely isotropic materials and addresses its computational aspects. The material formulation is presented in purely Eulerian setting and based on the additive decomposition of the free energy function into isotropic and anisotropic parts, where the former is further decomposed into isochoric and volumetric parts. For the quasi-incompressible response, the Q1P0 ele...
A quasi inextensible element formulation for anisotropic continuum
Dal, Hüsnü (2016-06-10)
The contribution presents a novel finite element formulation for quasi-inextensible and quasi-incompressible finite hyperelastic behaviour of transeversely anisotropic materials and addresses its computational aspects. The formulation is presented in purely Eulerian setting and based on the additive decomposition of the free energy function into isotropic and anisotropic parts where the former is further decomposed into isochoric and volumetric parts. For the quasi-incompressible material response, the Q1P0...
An efficient solution of the generalized eigenvalue problems for planar transmission lines
Prakash, VVS; Kuzuoğlu, Mustafa; Mittra, R (Wiley, 2001-11-05)
This paper presents an efficient solution for solving the generalized eigenvalue equation arising in the finite-element (FE) formulation of propagation characterization of planar transmission-line structures. A two-dimensional (2-D) finite-element method (FEM) is used for analyzing the uniform planar transmission lines. The Arnoldi algorithm is used in conjunction with the multifrontal decomposition of the system matrix for solving the eigensystem. Convergence is typically obtained within a few iterations o...
A new time-domain boundary element formulation for generalized models of viscoelasticity
Akay, Ahmet Arda; Gürses, Ercan; Göktepe, Serdar (2023-05-01)
The contribution is concerned with the novel algorithmic formulation for generalized models of viscoelasticity under quasi-static conditions within the framework of the boundary element method (BEM). The proposed update algorithm is constructed for a generic rheological model of linear viscoelasticity that can either be straightforwardly simplified to recover the basic Kelvin and Maxwell models or readily furthered towards the generalized models of viscoelasticity through the serial or parallel extensions. ...
An empirical method for the second viral coefficients of non-standard fluids
Kis, Konrad; Orbey, Hasan (Elsevier BV, 1989-9)
A new empirical method is proposed for the extension of Pitzer-Curl type correlations of the second virial coefficient to non-standard fluids as define
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
H. Dal, “A quasi-inextensible and quasi-incompressible finite element formulation for transversely anisotropic hyperelastic solids and soft biological tissues,” presented at the XIV International Conference on Computational Plasticity. Fundamentals and Applications (05 - 07 September 2017 ), Barcelona, Spain, 2017, Accessed: 00, 2021. [Online]. Available: http://congress.cimne.com/complas2017/Admin/Files/FileAbstract/a400.pdf.