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An extension of assumed stress finite elements to a general hyperelastic framework

Nils Viebahn, Jörg Schröder, Peter Wriggers
2019 Advanced Modeling and Simulation in Engineering Sciences  
Assumed stress finite elements are known for their extraordinary good performance in the framework of linear elasticity.  ...  In addition the results are compared to well known enhanced assumed strain elements.  ...  In the proposed work, a general framework is introduced, which extends the family of assumed stress elements to hyperelasticity.  ... 
doi:10.1186/s40323-019-0133-z fatcat:y557osxmyrepjjwkzljbtjqe7u

Wave Propagation in Hyperelastic Waveguides [chapter]

2016 Wave Propagation in Materials and Structures  
The analysis of wave propagation in hyperelastic waveguides has significant applications in various branches of engineering like Non-Destructive Testing and Evaluation, impact analysis, material characterization  ...  In the presence of large deformations, geometric nonlin-  ...  The development of this algorithm and its extension to a general automatic framework for studying a large class of problems in nonlinear solid mechanics forms the second part of this research.  ... 
doi:10.1201/9781315372099-19 fatcat:bfaxdhbh45chveyeddywwvtajm

Hyperelastic modelling of post-buckling response in single wall carbon nanotubes under axial compression

Saavedra Flores E.I., Adhikari S, Friswell M. I., Scarpa F
2011 Procedia Engineering  
This paper presents a hyperelastic finite element-based lattice approach for the description of post-buckling response in single wall carbon nanotubes (SWCNTs).  ...  A one-term incompressible Ogden-type hyperelastic model is adopted to describe the mechanical response of SWCNTs under axial compression.  ...  Acknowledgements The authors acknowledge funding from the European Research Council through Grant No. 247045 entitled "Optimisation of Multiscale Structures with Applications to Morphing Aircraft".  ... 
doi:10.1016/j.proeng.2011.04.373 fatcat:ykxr67getzez3b5svts65le5ea

Constitutive framework of a new hyperelastic model for isotropic rubber-like materials for finite element implementation

Felipe Tempel Stumpf, Rogério José Marczak
2021 Latin American Journal of Solids and Structures  
Graphical Abstract Constitutive framework of a new hyperelastic model for isotropic rubber-like materials for finite element implementation Felipe Tempel Stumpf et al.  ...  The new expression for W allows the satisfaction of both of the aforementioned requirements. The complete constitutive framework for its implementation in a Finite Element code is provided.  ...  framework of the Finite Element Method.  ... 
doi:10.1590/1679-78256349 fatcat:rhynadn6zvaufig5d7isuqp4ta

Gradient-Enhanced Modelling of Damage for Rate-Dependent Material Behaviour—A Parameter Identification Framework

Robin Schulte, Richard Ostwald, Andreas Menzel
2020 Materials  
This work introduces an optimisation-based scheme for the calibration of viscoelastic material models that are coupled to gradient-enhanced damage in a finite strain setting.  ...  In effect, the results provided lay the groundwork for a future extension of the proposed parameter identification framework, where additional field-data provided by the self-diagnostic capabilities can  ...  The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript; nor in the decision to publish the results.  ... 
doi:10.3390/ma13143156 pmid:32679825 fatcat:wzrcw4r6hnhkvi4wwonkjmjpki

Hyperelastic axial buckling of single wall carbon nanotubes

E.I. Saavedra Flores, S. Adhikari, M.I. Friswell, F. Scarpa
2011 Physica. E, Low-Dimensional systems and nanostructures  
This paper proposes a hyperelastic finite element-based lattice approach for the description of buckling behaviour in single wall carbon nanotubes (SWCNTs).  ...  A one-term incompressible Ogden-type hyperelastic model is adopted to describe the equivalent mechanical response of C-C bonds in SWCNTs under axial compression.  ...  Curiously, despite the extensive work carried out in this context, a review of the current literature on the finite element-based lattice approach shows that the adoption of a hyperelastic framework to  ... 
doi:10.1016/j.physe.2011.10.006 fatcat:gox5j2cb7zgxlox5qdevsfsqeu

Instabilities in thin films on hyperelastic substrates by 3D finite elements

Fan Xu, Yao Koutsawa, Michel Potier-Ferry, Salim Belouettar
2015 International Journal of Solids and Structures  
Automatic Differentiation (AD) is employed to improve the ease of the ANM implementation through an operator overloading, which allows one to introduce various potential energy functions of hyperelasticity  ...  The need of finite strain modeling is also discussed according to the stiffness ratio of Young's modulus.  ...  Acknowledgments The authors acknowledge the financial support of Fonds National de la Recherche of Luxembourg (Grant No. FNR/C10/MS/784868-WRINKLE). F. Xu and M.  ... 
doi:10.1016/j.ijsolstr.2015.06.007 fatcat:4oueg3ezcjc5beoztqq6cwucsa

Elastoplastic consolidation at finite strain part 2: finite element implementation and numerical examples

Ronaldo I. Borja, Claudio Tamagnini, Enrique Alarcón
1998 Computer Methods in Applied Mechanics and Engineering  
To date, extensions of the infinitesimal consolidation theory to the finite deformation regime have been formulated within the framework of hypoelasticity [21] [22] [23] [24] [25] [26] .  ...  The paper concludes with an assessment of the performance of the finite element consolidation model with respect to accuracy and numerical stability.  ...  The soil elements are assumed to be initially stress-free.  ... 
doi:10.1016/s0045-7825(98)80105-9 fatcat:fbn4rmjnofa4losi6t4umapvfy

Finite element simulations of chemo-mechanical coupling in elastic–plastic homoionic expansive clays

Alessandro Gajo, Benjamin Loret
2003 Computer Methods in Applied Mechanics and Engineering  
In this way a global understanding of the phenomena involved, namely deformation, transfer and diffusion is possible within a unified framework.  ...  Chemically active saturated homoionic clays are considered in a two-phase framework. The solid phase contains the clay particles, absorbed water and salt.  ...  General framework In an open system that substances can enter and leave isothermally, the variation of free energy Ψ per unit initial volume, i.e. the work done by the total stress σ in the incremental  ... 
doi:10.1016/s0045-7825(03)00355-4 fatcat:l4s45eu6hfgcfpfsig7mclojse

Automatic Generation of User Material Subroutines for Biomechanical Growth Analysis

Jonathan M. Young, Jiang Yao, Ashok Ramasubramanian, Larry A. Taber, Renato Perucchio
2010 Journal of Biomechanical Engineering  
The nonlinear finite element analysis (FEA) package Abaqus allows the user to implement such specialized material responses through the coding of a user material subroutine called UMAT.  ...  The performance of the automatically coded UMAT is tested by simulating the stress-stretch response of a material defined by a Fung-Orthotropic strain energy function, subject to uniaxial stretching, equibiaxial  ...  Acknowledgments We would like to acknowledge the NIH for support of this work through grants R01 HL083393 and R01 GM075200.  ... 
doi:10.1115/1.4002375 pmid:20887023 pmcid:PMC2996139 fatcat:g2rb3rwthraizpxdnxedl4qpfq

A novel approach to modelling and simulating the contact behaviour between a human hand model and a deformable object

D. Chamoret, S. Roth, Z.-Q. Feng, X.-T. Yan, S. Gomes, F. Peyraut
2013 Computer Methods in Biomechanics and Biomedical Engineering  
The aim of this work is to study the contact behaviour between the operators' hand and a hand-held tool or other similar contacts, by developing a novel and precise non-linear 3D finite element model of  ...  The integration of biomechanical knowledge of human hands into product design process starts to play an increasing important role in developing an ergonomic product-to-user interface for products and systems  ...  of J 4 < 1 represents the shortening of the fibers which is assumed to generate no stress.  ... 
doi:10.1080/10255842.2011.608662 pmid:22128759 fatcat:zzbxa2rvorgnpn7j3c56xtff7u

A Microstructural Hyperelastic Model of Pulmonary Arteries Under Normo- and Hypertensive Conditions

Yanhang Zhang, Martin L. Dunn, E. S. Drexler, C. N. McCowan, A. J. Slifka, D. D. Ivy, Robin Shandas
2005 Annals of Biomedical Engineering  
A finite element approach was adopted to implement the model.  ...  The model provides an analogy between the entangled network of long molecular chains and the structural protein framework seen in the medial layer, and relates the mechanical response at macro-level to  ...  We also wish to thank Dr Neil Davie from UCHSC for valuable discussion regarding the micro-biology of the pulmonary arteries, Dr H. Jerry Qi from University of Colorado at Boulder, and Dr Jeffrey E.  ... 
doi:10.1007/s10439-005-5771-2 pmid:16133913 fatcat:3xo4uir6cfae7lanqmrqer63b4

An approach to elastoplasticity at large deformations

K.Y. Volokh
2013 European Journal of Mechanics. A, Solids  
Finite plasticity theories are still a subject of controversy and lively discussions. Among the approaches to finite elastoplasticity two became especially popular.  ...  The first, implemented in the commercial finite element codes, is based on the introduction of a hypoelastic constitutive law and the additive elastic-plastic decomposition of the deformation rate tensor  ...  A general theory of an elastic-plastic continuum. Arch. Rat.  ... 
doi:10.1016/j.euromechsol.2012.11.002 fatcat:q7y5wfkgdzc4fppwyuuanhp6pu

Computation of Cauchy heterogeneous stress field in a cruciform specimen subjected to equibiaxial tensile within parameter identification of isotropic hyperelastic materials

K. Yaya, H. Bechir, S. Bouzidi
2020 Technische Mechanik  
Heterogeneous stress and strain fields have been investigated by Finite Element Method (FEM) in a cruciform specimen holed at the center and subjected to equibiaxial tensile.  ...  Also, the heterogeneity proves out to be an advantage in order to increase the variety of deformation states.  ...  Finite element simulations A finite element calculation is performed by assuming both plane stress state and a nearly incompressibility approach.  ... 
doi:10.24352/ub.ovgu-2020-018 fatcat:kw7o7kg3hzhbhh4pstf42cf4we

An Eulerian approach to the simulation of deformable solids: Application to finite-strain elasticity [article]

Ken Kamrin, Jean-Christophe Nave
2009 arXiv   pre-print
The reference map can be discretized to permit finite-difference simulation of large solid-like deformations, in any dimension, of the type that might otherwise require the finite element method.  ...  We develop a computational method based on an Eulerian field called the "reference map", which relates the current location of a material point to its initial.  ...  Kamrin would like to acknowledge support from the NDSEG and NSF GRFP fellowship programs. J.-C.  ... 
arXiv:0901.3799v2 fatcat:yw2lb5yts5d6nkrjc3ga4whvwq
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