Antonio Taneco-Hernández, Marco; Gómez-Aguilar, José Francisco; Cuahutenango-Barro, Bricio Wave process in viscoelastic media using fractional derivatives with nonsingular kernels. (English) Zbl 07781805 Math. Methods Appl. Sci. 46, No. 4, 4413-4436 (2023). MSC: 74S40 26A33 33E12 PDFBibTeX XMLCite \textit{M. Antonio Taneco-Hernández} et al., Math. Methods Appl. Sci. 46, No. 4, 4413--4436 (2023; Zbl 07781805) Full Text: DOI
Aguiar, Adair Roberto; da Rocha, Gabriel Lopes Construction of invariant relations of \(n\) symmetric second-order tensors. (English) Zbl 07762822 J. Elasticity 154, No. 1-4, 45-60 (2023). MSC: 74D10 74A20 74L15 15A72 PDFBibTeX XMLCite \textit{A. R. Aguiar} and \textit{G. L. da Rocha}, J. Elasticity 154, No. 1--4, 45--60 (2023; Zbl 07762822) Full Text: DOI
Favrie, N.; Lombard, B. A hyperbolic generalized Zener model for nonlinear viscoelastic waves. (English) Zbl 1524.74281 Wave Motion 116, Article ID 103086, 18 p. (2023). MSC: 74J30 86A15 74B20 74D10 PDFBibTeX XMLCite \textit{N. Favrie} and \textit{B. Lombard}, Wave Motion 116, Article ID 103086, 18 p. (2023; Zbl 1524.74281) Full Text: DOI
Al Nahas, Roula; Wang, Mingchuan; Panicaud, Benoît; Rouhaud, Emmanuelle; Charles, Alexandre; Kerner, Richard Covariant spacetime formalism for applications to thermo-hyperelasticity. (English) Zbl 1494.74002 Acta Mech. 233, No. 6, 2309-2334 (2022). MSC: 74A20 74A15 74F05 74B20 PDFBibTeX XMLCite \textit{R. Al Nahas} et al., Acta Mech. 233, No. 6, 2309--2334 (2022; Zbl 1494.74002) Full Text: DOI
Clayton, J. D. Analysis of shock waves in a mixture theory of a thermoelastic solid and fluid with distinct temperatures. (English) Zbl 07517085 Int. J. Eng. Sci. 175, Article ID 103675, 25 p. (2022). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{J. D. Clayton}, Int. J. Eng. Sci. 175, Article ID 103675, 25 p. (2022; Zbl 07517085) Full Text: DOI
Rajagopal, K. R.; Wineman, A. A note on viscoelastic bodies whose material properties depend on the density. (English) Zbl 07589914 Math. Mech. Solids 26, No. 11, 1726-1731 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{K. R. Rajagopal} and \textit{A. Wineman}, Math. Mech. Solids 26, No. 11, 1726--1731 (2021; Zbl 07589914) Full Text: DOI
Wineman, A.; Pence, Thomas J. Fiber-reinforced composites: nonlinear elasticity and beyond. (English) Zbl 1487.74023 J. Eng. Math. 127, Paper No. 30, 16 p. (2021). MSC: 74E30 74B20 74D10 74A20 PDFBibTeX XMLCite \textit{A. Wineman} and \textit{T. J. Pence}, J. Eng. Math. 127, Paper No. 30, 16 p. (2021; Zbl 1487.74023) Full Text: DOI
Zhao, DeMin; Yin, YaoDe; Liu, JianLin A fractional finite strain viscoelastic model of dielectric elastomer. (English) Zbl 1481.74105 Appl. Math. Modelling 100, 564-579 (2021). MSC: 74D10 74S40 PDFBibTeX XMLCite \textit{D. Zhao} et al., Appl. Math. Modelling 100, 564--579 (2021; Zbl 1481.74105) Full Text: DOI
Sedal, Audrey; Wineman, Alan Force reversal and energy dissipation in composite tubes through nonlinear viscoelasticity of component materials. (English) Zbl 1472.74041 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2241, Article ID 20200299, 20 p. (2020). MSC: 74D10 74E30 PDFBibTeX XMLCite \textit{A. Sedal} and \textit{A. Wineman}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2241, Article ID 20200299, 20 p. (2020; Zbl 1472.74041) Full Text: DOI
Wineman, Alan Dimensional changes during shear without normal tractions (the Poynting effect) in nonlinear viscoelastic fiber-reinforced solids. (English) Zbl 1446.74107 Math. Mech. Solids 25, No. 3, 582-596 (2020). MSC: 74E30 74D10 PDFBibTeX XMLCite \textit{A. Wineman}, Math. Mech. Solids 25, No. 3, 582--596 (2020; Zbl 1446.74107) Full Text: DOI
Shojaeifard, Mohammad; Sheikhi, Sara; Baniassadi, Majid; Baghani, Mostafa On finite bending of visco-hyperelastic materials: a novel analytical solution and FEM. (English) Zbl 1440.74071 Acta Mech. 231, No. 8, 3435-3450 (2020). MSC: 74B20 74G10 74S05 PDFBibTeX XMLCite \textit{M. Shojaeifard} et al., Acta Mech. 231, No. 8, 3435--3450 (2020; Zbl 1440.74071) Full Text: DOI
Clayton, John D.; Freed, A. D. A constitutive framework for finite viscoelasticity and damage based on the Gram-Schmidt decomposition. (English) Zbl 1440.74003 Acta Mech. 231, No. 8, 3319-3362 (2020). MSC: 74A05 74A15 74B20 74L15 74A45 74D10 PDFBibTeX XMLCite \textit{J. D. Clayton} and \textit{A. D. Freed}, Acta Mech. 231, No. 8, 3319--3362 (2020; Zbl 1440.74003) Full Text: DOI
Wineman, Alan Viscoelastic solids. (English) Zbl 1446.74097 Merodio, José (ed.) et al., Constitutive modelling of solid continua. Based on the international workshop on modelling of nonlinear continua, Castro Urdiales, Spain, June 26–30, 2017. Cham: Springer. Solid Mech. Appl. 262, 81-123 (2020). MSC: 74D10 74D05 74L15 74-02 PDFBibTeX XMLCite \textit{A. Wineman}, Solid Mech. Appl. 262, 81--123 (2020; Zbl 1446.74097) Full Text: DOI
Wineman, Alan Branching of stretch histories in biaxially loaded nonlinear viscoelastic fiber-reinforced sheets. (English) Zbl 1457.74035 Math. Mech. Solids 24, No. 3, 807-827 (2019). Reviewer: Vinod K. Arya (Dallas) MSC: 74D10 74E30 PDFBibTeX XMLCite \textit{A. Wineman}, Math. Mech. Solids 24, No. 3, 807--827 (2019; Zbl 1457.74035) Full Text: DOI
Parnell, William J.; De Pascalis, Riccardo Soft metamaterials with dynamic viscoelastic functionality tuned by pre-deformation. (English) Zbl 1425.74110 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2144, Article ID 20180072, 26 p. (2019). MSC: 74D05 PDFBibTeX XMLCite \textit{W. J. Parnell} and \textit{R. De Pascalis}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2144, Article ID 20180072, 26 p. (2019; Zbl 1425.74110) Full Text: DOI
Song, Ruyue; Muliana, Anastasia; Rajagopal, Kumbakonam A thermodynamically consistent model for viscoelastic polymers undergoing microstructural changes. (English) Zbl 1425.74025 Int. J. Eng. Sci. 142, 106-124 (2019). MSC: 74A20 74D10 74A15 82D60 PDFBibTeX XMLCite \textit{R. Song} et al., Int. J. Eng. Sci. 142, 106--124 (2019; Zbl 1425.74025) Full Text: DOI
Itou, Hiromichi; Kovtunenko, Victor A.; Rajagopal, Kumbakonam R. Crack problem within the context of implicitly constituted quasi-linear viscoelasticity. (English) Zbl 1411.35249 Math. Models Methods Appl. Sci. 29, No. 2, 355-372 (2019). MSC: 35Q74 49J52 74D10 PDFBibTeX XMLCite \textit{H. Itou} et al., Math. Models Methods Appl. Sci. 29, No. 2, 355--372 (2019; Zbl 1411.35249) Full Text: DOI
De Pascalis, Riccardo; Parnell, William J.; Abrahams, I. David; Shearer, Tom; Daly, Donna M.; Grundy, David The inflation of viscoelastic balloons and hollow viscera. (English) Zbl 1407.74024 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2218, Article ID 20180102, 22 p. (2018). MSC: 74D10 PDFBibTeX XMLCite \textit{R. De Pascalis} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2218, Article ID 20180102, 22 p. (2018; Zbl 1407.74024) Full Text: DOI
Balbi, Valentina; Shearer, Tom; Parnell, William J. A modified formulation of quasi-linear viscoelasticity for transversely isotropic materials under finite deformation. (English) Zbl 1407.74021 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2217, Article ID 20180231, 24 p. (2018). MSC: 74D05 PDFBibTeX XMLCite \textit{V. Balbi} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2217, Article ID 20180231, 24 p. (2018; Zbl 1407.74021) Full Text: DOI arXiv Link
Slesarenko, Viacheslav; Rudykh, Stephan Towards mechanical characterization of soft digital materials for multimaterial 3D-printing. (English) Zbl 1423.74223 Int. J. Eng. Sci. 123, 62-72 (2018). MSC: 74E30 PDFBibTeX XMLCite \textit{V. Slesarenko} and \textit{S. Rudykh}, Int. J. Eng. Sci. 123, 62--72 (2018; Zbl 1423.74223) Full Text: DOI arXiv
Springhetti, Roberta; Selyutina, N. S. Viscoelastic modeling of articular cartilage under impact loading. (English) Zbl 1384.74038 Meccanica 53, No. 3, 519-530 (2018). MSC: 74M20 74B20 PDFBibTeX XMLCite \textit{R. Springhetti} and \textit{N. S. Selyutina}, Meccanica 53, No. 3, 519--530 (2018; Zbl 1384.74038) Full Text: DOI
Průša, Vít; Řehoř, Martin; Tůma, Karel Colombeau algebra as a mathematical tool for investigating step load and step deformation of systems of nonlinear springs and dashpots. (English) Zbl 1373.46036 Z. Angew. Math. Phys. 68, No. 1, Paper No. 24, 13 p. (2017). Reviewer: Eduard Nigsch (Wien) MSC: 46F30 34A36 34A37 70G70 PDFBibTeX XMLCite \textit{V. Průša} et al., Z. Angew. Math. Phys. 68, No. 1, Paper No. 24, 13 p. (2017; Zbl 1373.46036) Full Text: DOI arXiv
Wineman, Alan; Heinrich, Christian; Nguyen, Nhung; Waas, Anthony A general network theory for the development of curing stresses in an epoxy/fiber composite. (English) Zbl 1433.74040 Acta Mech. 227, No. 12, 3585-3601 (2016). MSC: 74E30 PDFBibTeX XMLCite \textit{A. Wineman} et al., Acta Mech. 227, No. 12, 3585--3601 (2016; Zbl 1433.74040) Full Text: DOI
Altmeyer, Guillaume; Panicaud, Benoit; Rouhaud, Emmanuelle; Wang, Mingchuan; Roos, Arjen; Kerner, Richard Viscoelasticity behavior for finite deformations, using a consistent hypoelastic model based on Rivlin materials. (English) Zbl 1365.74042 Contin. Mech. Thermodyn. 28, No. 6, 1741-1758 (2016). MSC: 74D05 PDFBibTeX XMLCite \textit{G. Altmeyer} et al., Contin. Mech. Thermodyn. 28, No. 6, 1741--1758 (2016; Zbl 1365.74042) Full Text: DOI
Bouzidi, Safia; Bechir, Hocine; Brémand, Fabrice Phenomenological isotropic visco-hyperelasticity: a differential model based on fractional derivatives. (English) Zbl 1360.74015 J. Eng. Math. 99, 1-28 (2016). MSC: 74A20 74D10 PDFBibTeX XMLCite \textit{S. Bouzidi} et al., J. Eng. Math. 99, 1--28 (2016; Zbl 1360.74015) Full Text: DOI
De Pascalis, Riccardo; Abrahams, I. David; Parnell, William J. Simple shear of a compressible quasilinear viscoelastic material. (English) Zbl 1423.74184 Int. J. Eng. Sci. 88, 64-72 (2015). MSC: 74D10 74D05 74B20 PDFBibTeX XMLCite \textit{R. De Pascalis} et al., Int. J. Eng. Sci. 88, 64--72 (2015; Zbl 1423.74184) Full Text: DOI
Misra, Anil; Singh, Viraj Thermomechanics-based nonlinear rate-dependent coupled damage-plasticity granular micromechanics model. (English) Zbl 1341.74048 Contin. Mech. Thermodyn. 27, No. 4-5, 787-817 (2015). MSC: 74F05 74M25 74A15 PDFBibTeX XMLCite \textit{A. Misra} and \textit{V. Singh}, Contin. Mech. Thermodyn. 27, No. 4--5, 787--817 (2015; Zbl 1341.74048) Full Text: DOI
Wineman, Alan Time dependent void growth in elastomers undergoing chemo-mechanical evolution. (English) Zbl 1329.74043 J. Elasticity 121, No. 2, 255-274 (2015). MSC: 74B20 74F05 PDFBibTeX XMLCite \textit{A. Wineman}, J. Elasticity 121, No. 2, 255--274 (2015; Zbl 1329.74043) Full Text: DOI
Wineman, Alan Determining the time of bulge formation in an elastomeric tube as it inflates, elongates and alters chemorheologically. (English) Zbl 1327.74093 Math. Mech. Solids 20, No. 1, 9-24 (2015). MSC: 74K15 74B20 74F05 PDFBibTeX XMLCite \textit{A. Wineman}, Math. Mech. Solids 20, No. 1, 9--24 (2015; Zbl 1327.74093) Full Text: DOI
Ravasoo, Arvi Modified constitutive equation for quasi-linear theory of viscoelasticity. (English) Zbl 1365.74048 J. Eng. Math. 78, 111-118 (2013). MSC: 74D10 74B20 74A20 PDFBibTeX XMLCite \textit{A. Ravasoo}, J. Eng. Math. 78, 111--118 (2013; Zbl 1365.74048) Full Text: DOI
Edelman, M. Universal fractional map and cascade of bifurcations type attractors. (English) Zbl 1323.34005 Chaos 23, No. 3, 033127, 11 p. (2013). MSC: 34A08 34D45 34C23 PDFBibTeX XMLCite \textit{M. Edelman}, Chaos 23, No. 3, 033127, 11 p. (2013; Zbl 1323.34005) Full Text: DOI arXiv
Mahmoudkhani, S.; Haddadpour, H. Nonlinear vibration of viscoelastic sandwich plates under narrow-band random excitations. (English) Zbl 1281.74022 Nonlinear Dyn. 74, No. 1-2, 165-188 (2013). MSC: 74K20 74H10 74H50 65M60 PDFBibTeX XMLCite \textit{S. Mahmoudkhani} and \textit{H. Haddadpour}, Nonlinear Dyn. 74, No. 1--2, 165--188 (2013; Zbl 1281.74022) Full Text: DOI
Muliana, A.; Rajagopal, K. R.; Wineman, A. S. A new class of quasi-linear models for describing the nonlinear viscoelastic response of materials. (English) Zbl 1291.74051 Acta Mech. 224, No. 9, 2169-2183 (2013). Reviewer: Vladimir P. Radchenko (Samara) MSC: 74D10 PDFBibTeX XMLCite \textit{A. Muliana} et al., Acta Mech. 224, No. 9, 2169--2183 (2013; Zbl 1291.74051) Full Text: DOI
Colonnelli, Stefania; Mugnai, Dimitri; Salvatori, Maria Cesarina Incremental equations for pre-stressed compressible viscoelastic materials. (English) Zbl 1421.74021 Z. Angew. Math. Phys. 64, No. 3, 679-703 (2013). MSC: 74D10 74H40 35Q74 PDFBibTeX XMLCite \textit{S. Colonnelli} et al., Z. Angew. Math. Phys. 64, No. 3, 679--703 (2013; Zbl 1421.74021) Full Text: DOI
Edelman, Mark; Taieb, Laura Anna New types of solutions of non-linear fractional differential equations. (English) Zbl 1278.37045 Almeida, Alexandre (ed.) et al., Advances in harmonic analysis and operator theory. The Stefan Samko anniversary volume on the occasion of his 70th birthday. Mainly based on the presentations at two conferences, Lisbon and Aveiro, Portugal, in June – July, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0515-5/hbk; 978-3-0348-0516-2/ebook). Operator Theory: Advances and Applications 229, 139-155 (2013). Reviewer: Carlo Laing (Auckland) MSC: 37G35 34A08 45G99 PDFBibTeX XMLCite \textit{M. Edelman} and \textit{L. A. Taieb}, Oper. Theory: Adv. Appl. 229, 139--155 (2013; Zbl 1278.37045) Full Text: DOI arXiv
Pucci, Edvige; Saccomandi, Giuseppe On the nonlinear theory of viscoelasticity of differential type. (English) Zbl 07278880 Math. Mech. Solids 17, No. 6, 624-630 (2012). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Pucci} and \textit{G. Saccomandi}, Math. Mech. Solids 17, No. 6, 624--630 (2012; Zbl 07278880) Full Text: DOI
Wineman, Alan The Treloar-Kearsley problem for elastomeric materials undergoing time-dependent microstructural evolution: branching of extensional creep histories. (English) Zbl 1291.74040 Math. Mech. Solids 17, No. 3, 300-316 (2012). MSC: 74B20 74F05 PDFBibTeX XMLCite \textit{A. Wineman}, Math. Mech. Solids 17, No. 3, 300--316 (2012; Zbl 1291.74040) Full Text: DOI
Zhang, Lili; Negahban, Mehrdad Propagation of infinitesimal thermo-mechanical waves during the finite-deformation loading of a viscoelastic material: general theory. (English) Zbl 1254.74026 Z. Angew. Math. Phys. 63, No. 6, 1143-1176 (2012). MSC: 74D10 74F05 74H10 74J05 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{M. Negahban}, Z. Angew. Math. Phys. 63, No. 6, 1143--1176 (2012; Zbl 1254.74026) Full Text: DOI
Wineman, Alan Branching of the radial expansion history during inflation of a nonlinear incompressible isotropic time-dependent thick-walled sphere. (English) Zbl 1269.74147 Math. Mech. Solids 16, No. 5, 513-523 (2011). MSC: 74K25 PDFBibTeX XMLCite \textit{A. Wineman}, Math. Mech. Solids 16, No. 5, 513--523 (2011; Zbl 1269.74147) Full Text: DOI
Průša, Vít; Rajagopal, K. R. Jump conditions in stress relaxation and creep experiments of Burgers type fluids: a study in the application of Colombeau algebra of generalized functions. (English) Zbl 1292.76007 Z. Angew. Math. Phys. 62, No. 4, 707-740 (2011). MSC: 76A10 76D99 PDFBibTeX XMLCite \textit{V. Průša} and \textit{K. R. Rajagopal}, Z. Angew. Math. Phys. 62, No. 4, 707--740 (2011; Zbl 1292.76007) Full Text: DOI
Mohamed, Abdel-Nasser A.; Shabana, Ahmed A. A nonlinear visco-elastic constitutive model for large rotation finite element formulations. (English) Zbl 1287.74041 Multibody Syst. Dyn. 26, No. 1, 57-79 (2011). MSC: 74S05 74D10 74K10 PDFBibTeX XMLCite \textit{A.-N. A. Mohamed} and \textit{A. A. Shabana}, Multibody Syst. Dyn. 26, No. 1, 57--79 (2011; Zbl 1287.74041) Full Text: DOI
Wineman, Alan On the mechanical interaction of a boa constrictor and its prey. (English) Zbl 1231.74317 Int. J. Eng. Sci. 48, No. 11, 1671-1680 (2010). MSC: 74L15 PDFBibTeX XMLCite \textit{A. Wineman}, Int. J. Eng. Sci. 48, No. 11, 1671--1680 (2010; Zbl 1231.74317) Full Text: DOI