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Page 2916 of Mathematical Reviews Vol. , Issue 2003d [page]

<span title="">2003</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
boundary-value problem for the axial shear of hardening isotropic incompressible nonlinearly elastic materials.  ...  Summary: “The purpose of this research is to investigate a pure axial shear problem for the annular region between two concentric rigid cylinders occupied by an incompressible isotropic nonlinearly elastic  ... 
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Page 425 of Mathematical Reviews Vol. , Issue 93a [page]

<span title="">1993</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Summary: “The axial shear problem for a hollow circular cylinder, composed of homogeneous isotropic compressible nonlinearly elas- tic material, is described.  ...  A modified version of the strain-energy function for small strains is also considered be- cause of its apparent advantages in the analysis of boundary value problems. Raymond W.  ... 
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Page 6661 of Mathematical Reviews Vol. , Issue 2001I [page]

<span title="">2001</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
, Giuseppe (I-LECCE-IVE; Lecce) Pure axial shear of isotropic, incompressible nonlinearly elastic materials with limiting chain extensibility.  ...  Summary: “The purpose of this research is to investigate the pure axial shear problem for a circular cylindrical tube composed of isotropic hyperelastic incompressible materials with limiting chain extensibility  ... 
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Finite elastic deformations of transversely isotropic circular cylindrical tubes

Mustapha El Hamdaoui, José Merodio, Ray W. Ogden, Javier Rodríguez
<span title="">2014</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/srgjiohyzbh7de6r3bvnz34vtq" style="color: black;">International Journal of Solids and Structures</a> </i> &nbsp;
For a specific material model of transversely isotropic elasticity, and material and geometrical parameters, numerical results are used to illustrate the dependence of the pressure, (reduced) axial load  ...  and moment on the radial stretch and a measure of the torsional deformation for a fixed value of the axial stretch.  ...  Mustapha El Hamdaoui also thanks the Ministerio de Economía y Competitividad, Spain, for funding under Grant DPI2008-03769.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ijsolstr.2013.12.019">doi:10.1016/j.ijsolstr.2013.12.019</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rsqtlcw5jvel5fr5la6boh2ubu">fatcat:rsqtlcw5jvel5fr5la6boh2ubu</a> </span>
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Some results on finite amplitude elastic waves propagating in rotating media

M. Destrade, G. Saccomandi
<span title="2004-11-19">2004</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/46colappmvbvfh557whkwq5yum" style="color: black;">Acta Mechanica</a> </i> &nbsp;
It is seen that for some finite amplitude transverse waves in rotating incompressible elastic solids with general shear response, the solutions are obtained by reduction of the equations of motion to a  ...  A fruitful analogy with the motion of a nonlinear string is pointed out.  ...  Finite amplitude shearing motions Following Carroll [6] , we study for the remainder of the paper the propagation of plane transverse waves in a bi-axially deformed incompressible material.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00707-004-0185-x">doi:10.1007/s00707-004-0185-x</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rimh2jifdjbzngubb4y4re5w3q">fatcat:rimh2jifdjbzngubb4y4re5w3q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170812123801/https://aran.library.nuigalway.ie/bitstream/handle/10379/4212/Some%20results.pdf?sequence=4" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/9c/f9/9cf983008142de41199953742675e0c4997feef7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00707-004-0185-x"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Nonlinear electroelasticity: material properties, continuum theory and applications

Luis Dorfmann, Ray W. Ogden
<span title="">2017</span> <i title="The Royal Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pgnawoixszagldk2tfhndhrgzu" style="color: black;">Proceedings of the Royal Society A</a> </i> &nbsp;
For illustration, the theory is then applied to two simple representative boundary-value problems that are relevant to the geometries of activation devices; in particular, (a) a rectangular plate and (  ...  This has led to the reassessment of the mathematical theory that is needed for the description of the electromechanical (in particular, electroelastic) interactions for purposes of material characterization  ...  Second, pure axial shear deformation of a thick-walled tube with a radial electric field has been analysed by Dorfmann & Ogden [106] for an incompressible isotropic electroelastic material, and, when  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1098/rspa.2017.0311">doi:10.1098/rspa.2017.0311</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/28878564">pmid:28878564</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC5582185/">pmcid:PMC5582185</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xu424ypa2fganchqujao67lni4">fatcat:xu424ypa2fganchqujao67lni4</a> </span>
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Analysis of the variation in the determination of the shear modulus of the erythrocyte membrane: Effects of the constitutive law and membrane modeling

P. Dimitrakopoulos
<span title="2012-04-23">2012</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nuk2stxzvvhf7ljciu325kj77m" style="color: black;">Physical Review E</a> </i> &nbsp;
Despite research spanning several decades, the exact value of the shear modulus G s of the erythrocyte membrane is still ambiguous, and a wealth of studies, using measurements based on micropipette aspirations  ...  Our study shows that different methodologies have predicted the correct shear modulus for the specific membrane modeling employed, i.e., the variation in the shear modulus determination results from the  ...  ACKNOWLEDGMENTS This work was supported in part by the National Science Foundation and the National Institutes of Health. APPENDIX: MICROPIPETTE ASPIRATION ANALYSIS BASED ON THE SKALAK ET AL. LAW  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.85.041917">doi:10.1103/physreve.85.041917</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/22680508">pmid:22680508</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC3605755/">pmcid:PMC3605755</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zxwsur7gpjfy5jelpzcptzj5d4">fatcat:zxwsur7gpjfy5jelpzcptzj5d4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20131230052503/http://www.chbe.umd.edu/~dimitrak/Papers/PD_2012_PRE_RBC_Shear_Modulus.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/db/b2/dbb2f0085819812a367a696f4b6de25b09d102f7.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.85.041917"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3605755" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Flow-induced shear strain in intima of porcine coronary arteries

Wei Zhang, Yi Liu, Ghassan S. Kassab
<span title="">2007</span> <i title="American Physiological Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4jikry225ve7jhl4hqwmsjjdue" style="color: black;">Journal of applied physiology</a> </i> &nbsp;
The nearly isotropic deformation (circumferential, axial, and shear strains) may have important implications for mechanical homeostasis of endothelial cells, mechanotransduction, growth, and remodeling  ...  Since the endothelium is mechanically much softer than the media-adventitia in healthy arteries, the porcine intima was considered as a mechanically distinct layer from the mediaadventitia in a two-layer  ...  Xiao Lu and Chong Wang for helpful discussions. GRANTS This research was supported in part by National Heart, Lung, and Blood Institute Grant 2 R01 HL055554-11.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1152/japplphysiol.00199.2007">doi:10.1152/japplphysiol.00199.2007</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/17525296">pmid:17525296</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xnbq532jrncfzglroektnz2x3q">fatcat:xnbq532jrncfzglroektnz2x3q</a> </span>
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Analysis of necking based on a one-dimensional model

Basile Audoly, John W. Hutchinson
<span title="">2016</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wlpckclmcbcnha5534mmr5yizi" style="color: black;">Journal of the mechanics and physics of solids</a> </i> &nbsp;
The one-dimensional model is used to analyze necking localization for nonlinear elastic materials that experience a maximum load under tensile loading, and for a class of nonlinear materials that mimic  ...  Applications to the nonlinear elastic and elastic-plastic materials reveal the highly unstable nature of necking for the former and the stable behavior for the latter, except for geometries where the length  ...  solutions of the boundary value problem (3.8) representing a half-block made up of a nonlinear elastic power-law material with N = 0.3.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jmps.2015.12.018">doi:10.1016/j.jmps.2015.12.018</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2vvw6e7pfbgnhbgux2j32b3vui">fatcat:2vvw6e7pfbgnhbgux2j32b3vui</a> </span>
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Effective response and field statistics in elasto-plastic and elasto-viscoplastic composites under radial and non-radial loadings

Noël Lahellec, Pierre Suquet
<span title="">2013</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/li65hkccpfei7aevibj2owhoii" style="color: black;">International journal of plasticity</a> </i> &nbsp;
with isotropic and/or kinematic hardening.  ...  After time-discretization, a new incremental variational principle for the increments in strain and internal variables in materials governed by two potentials is derived.  ...  The free-energy w is the sum of two terms, the elastic energy (recoverable under unloading) and the energy stored in the hardening of the material which itself consists of two contributions due to isotropic  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ijplas.2012.09.005">doi:10.1016/j.ijplas.2012.09.005</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/la55bbn7v5emtfwhh275hpnedu">fatcat:la55bbn7v5emtfwhh275hpnedu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20140828103936/http://hal.inria.fr/docs/00/75/38/19/PDF/IJP_2012.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/02/82/028215f63c037331b6572a8a54b56621bc86b760.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ijplas.2012.09.005"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Plane strain bending of strain-stiffening rubber-like rectangular beams

Landon M. Kanner, Cornelius O. Horgan
<span title="">2008</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/srgjiohyzbh7de6r3bvnz34vtq" style="color: black;">International Journal of Solids and Structures</a> </i> &nbsp;
This paper is concerned with investigation of the effects of strain-stiffening for the classical problem of plane strain bending by an end moment of a rectangular beam composed of an incompressible isotropic  ...  nonlinearly elastic material.  ...  Acknowledgments The research of L.M.K. was supported by Graduate Teaching Assistantships, a Ballard and VEF Fellowship from the University of Virginia and a Virginia Space Grant Consortium Fellowship.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ijsolstr.2007.10.022">doi:10.1016/j.ijsolstr.2007.10.022</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wuvcnrrijfbendh6nk5nukkxv4">fatcat:wuvcnrrijfbendh6nk5nukkxv4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171002173409/http://publisher-connector.core.ac.uk/resourcesync/data/elsevier/pdf/bb7/aHR0cDovL2FwaS5lbHNldmllci5jb20vY29udGVudC9hcnRpY2xlL3BpaS9zMDAyMDc2ODMwNzAwNDQyOA%3D%3D.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/da/76/da76b2fc98f8c665eb294426c3baf57804bad1da.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ijsolstr.2007.10.022"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

A critical evaluation of local field statistics predicted by various linearization schemes in nonlinear mean-field homogenization

Amna Rekik, Michel Bornert, François Auslender
<span title="">2012</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/e7kxbcimhnajjplyhkpbflhhke" style="color: black;">Mechanics of materials (Print)</a> </i> &nbsp;
microgeometry and boundary conditions and in which local nonlinear constitutive relations are exactly verified at each point.  ...  For each approach, the maps and the statistical distribution functions of the local fields (strain, stress and incremental work) illustrating the intraand inter-phase heterogeneities are provided for reinforced  ...  Let us now consider the case of isotropic tangent linearizations for two-phase rigidly reinforced incompressible composites only.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.mechmat.2012.05.011">doi:10.1016/j.mechmat.2012.05.011</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jyjw6svu3reozenbcparjaq2cm">fatcat:jyjw6svu3reozenbcparjaq2cm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190304105858/https://core.ac.uk/download/pdf/51227869.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/29/70/2970a76fc1b4c787ec6a6efaea3a24550eb516a9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.mechmat.2012.05.011"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Numerical methods for porous metals with deformation-induced anisotropy

N. Aravas, P. Ponte Castañeda
<span title="">2004</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gctv3v6plrgwthusala4ydxxeq" style="color: black;">Computer Methods in Applied Mechanics and Engineering</a> </i> &nbsp;
The problems of uniaxial tension, simple shear, plastic flow localization and necking in plane strain tension, and ductile fracture initiation at the tip of a blunt crack are analyzed in detail; comparisons  ...  This includes also the special case in which the initial shape of the voids is spherical and the material is initially isotropic.  ...  Acknowledgements The authors would like to thank Mr. Kostas Danas for help with the computations. Availability of computer program: Copies of the computer code (UMAT) will be supplied upon request.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.cma.2004.02.009">doi:10.1016/j.cma.2004.02.009</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/l4fggxnuerbflh4d6ugmjdqjs4">fatcat:l4fggxnuerbflh4d6ugmjdqjs4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809095516/http://www.mie.uth.gr/files/Ponte_2004.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/55/c8/55c8baf4c5b49320b2872d580c92c61cc1d39872.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.cma.2004.02.009"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Ductile Fracture by Void Growth to Coalescence [chapter]

A. Amine Benzerga, Jean-Baptiste Leblond
<span title="">2010</span> <i title="Elsevier"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/zhl5epn5mbfw7mdvjp6uxpkumm" style="color: black;">Advances in Applied Mechanics</a> </i> &nbsp;
Keralavarma and support from the National Science Foundation of the United States of America.  ...  1 − ρ| (1) The matrix is modeled as an elastic-plastic or elastic-viscoplastic isotropically hardening material with the rate of deformation d written as the sum of an elastic part, d e , and a plastic  ...  Cell model results for a spherical particle in an isotropic non-hardening matrix with no interfacial cohesion for three values of the stress triaxiality T ≤ 2/3.  ... 
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Finite Element Modeling of Balloon Angioplasty by Considering Overstretch of Remnant Non-diseased Tissues in Lesions

T. Christian Gasser, Gerhard A. Holzapfel
<span title="2006-05-19">2006</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/rtlsk6fjr5cuvo7ij7b5ac7n4m" style="color: black;">Computational Mechanics</a> </i> &nbsp;
The contact of the artery with a balloon catheter is simulated by a point-to-surface strategy.  ...  A stenotic artery is modeled as a heterogenous structure composed of adventitia, media and a model plaque, and residual stresses are considered.  ...  Acknowledgements Financial support for this research was partly provided by the Austrian Science Foundation under START-Award Y74-TEC. This support is gratefully acknowledged.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00466-006-0081-6">doi:10.1007/s00466-006-0081-6</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/obpbr37cqzd4nkjcmi7fezunty">fatcat:obpbr37cqzd4nkjcmi7fezunty</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20121226163759/http://www.biomech.tugraz.at:80/files/publications/Gasser_Holzapfel-Comput_Mech-2007" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/57/bd/57bd84d4219b6dc3467c79780b536aa7cdae05f8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00466-006-0081-6"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>
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