Gao, Yuan; Scott, James M. Existence and uniqueness of solutions to the Peierls-Nabarro model in anisotropic media. (English) Zbl 07789601 Nonlinearity 37, No. 2, Article ID 025010, 30 p. (2024). MSC: 35Q74 35Q56 74A60 74E15 82D25 35A01 35A02 35J50 35R09 35J60 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{J. M. Scott}, Nonlinearity 37, No. 2, Article ID 025010, 30 p. (2024; Zbl 07789601) Full Text: DOI arXiv
Bellido, José Carlos; Mora-Corral, Carlos; Schönberger, Hidde Nonlocal gradients: Fundamental theorem of calculus, Poincaré inequalities and embeddings. arXiv:2402.16487 Preprint, arXiv:2402.16487 [math.AP] (2024). MSC: 26A33 46E35 47G20 42B35 74A70 BibTeX Cite \textit{J. C. Bellido} et al., ``Nonlocal gradients: Fundamental theorem of calculus, Poincar\'e inequalities and embeddings'', Preprint, arXiv:2402.16487 [math.AP] (2024) Full Text: arXiv OA License
Liao, Hong-lin; Liu, Nan; Lyu, Pin Discrete gradient structure of a second-order variable-step method for nonlinear integro-differential models. (English) Zbl 1527.35452 SIAM J. Numer. Anal. 61, No. 5, 2157-2181 (2023). MSC: 35Q99 65M06 65M50 65M12 74A50 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{H.-l. Liao} et al., SIAM J. Numer. Anal. 61, No. 5, 2157--2181 (2023; Zbl 1527.35452) Full Text: DOI arXiv
Bellido, José Carlos; Cueto, Javier; Mora-Corral, Carlos Non-local gradients in bounded domains motivated by continuum mechanics: fundamental theorem of calculus and embeddings. (English) Zbl 07740634 Adv. Nonlinear Anal. 12, Article ID 20220316, 48 p. (2023). MSC: 26A33 35R11 46E35 49J45 74A70 35Q74 42B20 49K21 74B20 74G65 PDFBibTeX XMLCite \textit{J. C. Bellido} et al., Adv. Nonlinear Anal. 12, Article ID 20220316, 48 p. (2023; Zbl 07740634) Full Text: DOI arXiv
Kamdem, Toungainbo Cédric; Richard, Kol Guy; Béda, Tibi New description of the mechanical creep response of rocks by fractional derivative theory. (English) Zbl 1515.74058 Appl. Math. Modelling 116, 624-635 (2023). MSC: 74L10 74A20 74D05 26A33 PDFBibTeX XMLCite \textit{T. C. Kamdem} et al., Appl. Math. Modelling 116, 624--635 (2023; Zbl 1515.74058) Full Text: DOI
Braides, Andrea; Maso, Gianni Dal Compactness for a class of integral functionals with interacting local and non-local terms. (English) Zbl 1514.49008 Calc. Var. Partial Differ. Equ. 62, No. 5, Paper No. 148, 28 p. (2023). Reviewer: Savin Treanţă (Bucureşti) MSC: 49J45 74A70 26A33 PDFBibTeX XMLCite \textit{A. Braides} and \textit{G. D. Maso}, Calc. Var. Partial Differ. Equ. 62, No. 5, Paper No. 148, 28 p. (2023; Zbl 1514.49008) Full Text: DOI arXiv
Wang, Yiming; Feng, Yiying; Pu, Hai; Yin, Qian; Ma, Dan; Wu, Jiangyu Step-variable-order fractional viscoelastic-viscoinertial constitutive model and experimental verification of cemented backfill. (English) Zbl 1519.74010 Acta Mech. 234, No. 3, 871-889 (2023). MSC: 74D05 74S40 74A20 74-05 26A33 PDFBibTeX XMLCite \textit{Y. Wang} et al., Acta Mech. 234, No. 3, 871--889 (2023; Zbl 1519.74010) Full Text: DOI
Said, Samia M.; Abd-Elaziz, Elsayed M.; Othman, Mohamed I. A. Effect of gravity and initial stress on a nonlocal thermo-viscoelastic medium with two-temperature and fractional derivative heat transfer. (English) Zbl 07815587 ZAMM, Z. Angew. Math. Mech. 102, No. 7, Article ID e202100316, 18 p. (2022). MSC: 74Fxx 74Axx 26Axx PDFBibTeX XMLCite \textit{S. M. Said} et al., ZAMM, Z. Angew. Math. Mech. 102, No. 7, Article ID e202100316, 18 p. (2022; Zbl 07815587) Full Text: DOI
Sun, HongGuang; Wang, Yuanyuan; Yu, Lin; Yu, Xiangnan A discussion on nonlocality: from fractional derivative model to peridynamic model. (English) Zbl 1495.76103 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106604, 10 p. (2022). MSC: 76R50 76M35 74A70 26A33 PDFBibTeX XMLCite \textit{H. Sun} et al., Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106604, 10 p. (2022; Zbl 1495.76103) Full Text: DOI
Ahmed, Wagdi F. S.; Salamooni, Ahmad Y. A.; Pawar, Dnyaneshwar D. Solution of fractional kinetic equation for Hadamard type fractional integral via Mellin transform. (English) Zbl 1494.74077 Gulf J. Math. 12, No. 1, 15-27 (2022). MSC: 74S40 74A25 26A33 PDFBibTeX XMLCite \textit{W. F. S. Ahmed} et al., Gulf J. Math. 12, No. 1, 15--27 (2022; Zbl 1494.74077) Full Text: Link
Yang, Xiao-Jun; Gao, Feng; Ju, Yang General fractional calculus with nonsingular kernels: new prospective on viscoelasticity. (English) Zbl 1480.74040 Singh, Jagdev (ed.) et al., Methods of mathematical modelling and computation for complex systems. Cham: Springer. Stud. Syst. Decis. Control 373, 135-157 (2022). MSC: 74D05 74A20 74-10 26A33 PDFBibTeX XMLCite \textit{X.-J. Yang} et al., Stud. Syst. Decis. Control 373, 135--157 (2022; Zbl 1480.74040) Full Text: DOI
Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M. Advanced analysis of local fractional calculus applied to the Rice theory in fractal fracture mechanics. (English) Zbl 1475.74008 Singh, Jagdev (ed.) et al., Methods of mathematical modelling and computation for complex systems. Cham: Springer. Stud. Syst. Decis. Control 373, 105-133 (2022). MSC: 74A45 74S40 74S70 26A33 28A80 PDFBibTeX XMLCite \textit{X.-J. Yang} et al., Stud. Syst. Decis. Control 373, 105--133 (2022; Zbl 1475.74008) Full Text: DOI
Bellido, José C.; Cueto, Javier; Mora-Corral, Carlos Minimizers of Nonlocal Polyconvex Energies in Nonlocal Hyperelasticity. arXiv:2211.02640 Preprint, arXiv:2211.02640 [math.AP] (2022). MSC: 26A33 49J45 74A70 74B20 74G65 BibTeX Cite \textit{J. C. Bellido} et al., ``Minimizers of Nonlocal Polyconvex Energies in Nonlocal Hyperelasticity'', Preprint, arXiv:2211.02640 [math.AP] (2022) Full Text: arXiv OA License
Kim, Youchan; Shin, Pilsoo A geometric result for composite materials with \(C^{1,\gamma}\)-boundaries. arXiv:2206.08291 Preprint, arXiv:2206.08291 [math.AP] (2022). MSC: 74A40 26B10 35J47 35B65 BibTeX Cite \textit{Y. Kim} and \textit{P. Shin}, ``A geometric result for composite materials with $C^{1,\gamma}$-boundaries'', Preprint, arXiv:2206.08291 [math.AP] (2022) Full Text: arXiv OA License
Ma, Yongbin; Wang, Le; Huang, Fei Nonlocal response of multi-field coupling elastic medium based on fractional order strain. (English) Zbl 07813063 ZAMM, Z. Angew. Math. Mech. 101, No. 6, Article ID e201900284, 16 p. (2021). MSC: 74Fxx 74Axx 26Axx PDFBibTeX XMLCite \textit{Y. Ma} et al., ZAMM, Z. Angew. Math. Mech. 101, No. 6, Article ID e201900284, 16 p. (2021; Zbl 07813063) Full Text: DOI
Ahmed, Wagdi F. S.; Pawar, D. D.; Salamooni, Ahmad Y. A. On the solution of kinetic equation for Katugampola type fractional differential equations. (English) Zbl 1499.74015 J. Dyn. Syst. Geom. Theor. 19, No. 1, 125-134 (2021). MSC: 74A25 33C20 26A33 44A15 33E12 PDFBibTeX XMLCite \textit{W. F. S. Ahmed} et al., J. Dyn. Syst. Geom. Theor. 19, No. 1, 125--134 (2021; Zbl 1499.74015) Full Text: DOI
Tian, Dan; Ain, Qura-Tul; Anjum, Naveed; He, Chun-Hui; Cheng, Bin Fractal N/MEMS: from pull-in instability to pull-in stability. (English) Zbl 1481.78002 Fractals 29, No. 2, Article ID 2150030, 8 p. (2021). MSC: 78A30 78A55 74F15 74M25 74A60 74K10 26A33 35B35 PDFBibTeX XMLCite \textit{D. Tian} et al., Fractals 29, No. 2, Article ID 2150030, 8 p. (2021; Zbl 1481.78002) Full Text: DOI
Knops, R. J. Computable constants for Korn’s inequalities on Riemannian manifolds. (English) Zbl 1487.53057 J. Elasticity 147, No. 1-2, 59-82 (2021). MSC: 53C20 26D10 49Q05 53A99 74A99 PDFBibTeX XMLCite \textit{R. J. Knops}, J. Elasticity 147, No. 1--2, 59--82 (2021; Zbl 1487.53057) Full Text: DOI
Béda, Péter B. Dynamical systems and stability in fractional solid mechanics. (English) Zbl 1481.74363 Awrejcewicz, Jan (ed.), Perspectives in dynamical systems III: control and stability. Selected papers based on the presentations at the 15th international conference on dynamical systems – theory and applications, DSTA, Łódź, Poland, December 2–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 364, 269-283 (2021). MSC: 74H60 74G60 74S40 74D99 74A20 26A33 PDFBibTeX XMLCite \textit{P. B. Béda}, Springer Proc. Math. Stat. 364, 269--283 (2021; Zbl 1481.74363) Full Text: DOI
Feng, Yi-Ying; Yang, Xiao-Jun; Liu, Jian-Gen; Chen, Zhan-Qing Rheological analysis of the general fractional-order viscoelastic model involving the Miller-Ross kernel. (English) Zbl 1494.74012 Acta Mech. 232, No. 8, 3141-3148 (2021). Reviewer: Vinod K. Arya (Dallas) MSC: 74D99 74A20 74S40 26A33 PDFBibTeX XMLCite \textit{Y.-Y. Feng} et al., Acta Mech. 232, No. 8, 3141--3148 (2021; Zbl 1494.74012) Full Text: DOI
Su, Teng; Zhou, Hongwei; Zhao, Jiawei; Liu, Zelin; Dias, Daniel A fractional derivative-based numerical approach to rate-dependent stress-strain relationship for viscoelastic materials. (English) Zbl 1487.74018 Acta Mech. 232, No. 6, 2347-2359 (2021). MSC: 74D05 74A20 74S40 26A33 PDFBibTeX XMLCite \textit{T. Su} et al., Acta Mech. 232, No. 6, 2347--2359 (2021; Zbl 1487.74018) Full Text: DOI
Zhang, Will; Capilnasiu, Adela; Nordsletten, David Comparative analysis of nonlinear viscoelastic models across common biomechanical experiments. (English) Zbl 1484.74009 J. Elasticity 145, No. 1-2, 117-152 (2021). Reviewer: Vinod K. Arya (Dallas) MSC: 74D10 74L15 74A20 26A33 PDFBibTeX XMLCite \textit{W. Zhang} et al., J. Elasticity 145, No. 1--2, 117--152 (2021; Zbl 1484.74009) Full Text: DOI
Voss, Jendrik; Martin, Robert J.; Ghiba, Ionel-Dumitrel; Neff, Patrizio Morrey’s conjecture for the planar volumetric-isochoric split. Part I: least convex energy functions. arXiv:2106.11887 Preprint, arXiv:2106.11887 [math.AP] (2021). MSC: 74B20 74A10 26B25 BibTeX Cite \textit{J. Voss} et al., ``Morrey's conjecture for the planar volumetric-isochoric split. Part I: least convex energy functions'', Preprint, arXiv:2106.11887 [math.AP] (2021) Full Text: arXiv OA License
Khishchenko, K. V. Analytic approximation of the Debye function. (English) Zbl 1499.80001 Math. Montisnigri 49, 96-110 (2020). MSC: 80A10 26E05 33F05 74A15 82D20 PDFBibTeX XMLCite \textit{K. V. Khishchenko}, Math. Montisnigri 49, 96--110 (2020; Zbl 1499.80001) Full Text: DOI
Povstenko, Y.; Kyrylych, T. Fractional thermoelasticity problem for an infinite solid with a penny-shaped crack under prescribed heat flux across its surfaces. (English) Zbl 1464.74005 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2172, Article ID 20190289, 14 p. (2020). MSC: 74A15 74F05 26A33 80A19 PDFBibTeX XMLCite \textit{Y. Povstenko} and \textit{T. Kyrylych}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2172, Article ID 20190289, 14 p. (2020; Zbl 1464.74005) Full Text: DOI
Ji, Bingquan; Liao, Hong-lin; Zhang, Luming Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. (English) Zbl 1437.35683 Adv. Comput. Math. 46, No. 2, Paper No. 37, 24 p. (2020). MSC: 35Q99 65M06 65M12 65M15 74A50 26A33 35R11 PDFBibTeX XMLCite \textit{B. Ji} et al., Adv. Comput. Math. 46, No. 2, Paper No. 37, 24 p. (2020; Zbl 1437.35683) Full Text: DOI arXiv
Béda, Péter B. Generic bifurcations in fractional thermo-mechanics with peridyamic effects. (English) Zbl 07806622 ZAMM, Z. Angew. Math. Mech. 99, No. 4, Article ID e201800147, 10 p. (2019). MSC: 26Axx 74Axx 74Bxx PDFBibTeX XMLCite \textit{P. B. Béda}, ZAMM, Z. Angew. Math. Mech. 99, No. 4, Article ID e201800147, 10 p. (2019; Zbl 07806622) Full Text: DOI
Sarkar, Nantu; Mondal, Sudip Transient responses in a two-temperature thermoelastic infinite medium having cylindrical cavity due to moving heat source with memory-dependent derivative. (English) Zbl 07783399 ZAMM, Z. Angew. Math. Mech. 99, No. 6, Article ID e201800343, 19 p. (2019). MSC: 74F05 80A20 74B05 26A33 74A15 PDFBibTeX XMLCite \textit{N. Sarkar} and \textit{S. Mondal}, ZAMM, Z. Angew. Math. Mech. 99, No. 6, Article ID e201800343, 19 p. (2019; Zbl 07783399) Full Text: DOI
Zhang, Xue-Yang; Chen, Zeng-Tao; Li, Xian-Fang Thermal shock fracture of an elastic half-space with a subsurface penny-shaped crack via fractional thermoelasticity. (English) Zbl 1430.74016 Acta Mech. 229, No. 12, 4875-4893 (2018). MSC: 74A45 74F05 26A33 PDFBibTeX XMLCite \textit{X.-Y. Zhang} et al., Acta Mech. 229, No. 12, 4875--4893 (2018; Zbl 1430.74016) Full Text: DOI
Atanackovic, Teodor M.; Pilipovic, Stevan On a constitutive equation of heat conduction with fractional derivatives of complex order. (English) Zbl 1384.74004 Acta Mech. 229, No. 3, 1111-1121 (2018). MSC: 74A20 26A33 74K10 74F05 PDFBibTeX XMLCite \textit{T. M. Atanackovic} and \textit{S. Pilipovic}, Acta Mech. 229, No. 3, 1111--1121 (2018; Zbl 1384.74004) Full Text: DOI
Martelloni, Gianluca; Bagnoli, Franco; Guarino, Alessio A 3D model for rain-induced landslides based on molecular dynamics with fractal and fractional water diffusion. (English) Zbl 1459.76140 Commun. Nonlinear Sci. Numer. Simul. 50, 311-329 (2017). MSC: 76R50 76T99 76M99 74L05 74A25 26A33 PDFBibTeX XMLCite \textit{G. Martelloni} et al., Commun. Nonlinear Sci. Numer. Simul. 50, 311--329 (2017; Zbl 1459.76140) Full Text: DOI arXiv
Rahman, Rezwan; Foster, J. T. Onto resolving spurious wave reflection problem with changing nonlocality among various length scales. (English) Zbl 1458.74016 Commun. Nonlinear Sci. Numer. Simul. 34, 86-122 (2016). MSC: 74A70 74A25 26A33 PDFBibTeX XMLCite \textit{R. Rahman} and \textit{J. T. Foster}, Commun. Nonlinear Sci. Numer. Simul. 34, 86--122 (2016; Zbl 1458.74016) Full Text: DOI
Sheoran, Sandeep Singh; Kundu, Pradeep Fractional order generalized thermoelasticity theories: a review. (English) Zbl 1367.74004 Int. J. Adv. Appl. Math. Mech. 3, No. 4, 76-81 (2016). MSC: 74A15 80A20 26A33 PDFBibTeX XMLCite \textit{S. S. Sheoran} and \textit{P. Kundu}, Int. J. Adv. Appl. Math. Mech. 3, No. 4, 76--81 (2016; Zbl 1367.74004) Full Text: Link
León D., Néstor; López Pouso, Óscar; Oubiña, José A. Towards a local definition of “body” in continuum mechanics. (English) Zbl 1324.58002 An. Univ. Craiova, Ser. Mat. Inf. 41, No. 1, 104-128 (2014). MSC: 58A05 74A99 76A99 26B20 PDFBibTeX XMLCite \textit{N. León D.} et al., An. Univ. Craiova, Ser. Mat. Inf. 41, No. 1, 104--128 (2014; Zbl 1324.58002)
Deseri, Luca; Zingales, Massimiliano; Pollaci, Pietro The state of fractional hereditary materials (FHM). (English) Zbl 1307.35294 Discrete Contin. Dyn. Syst., Ser. B 19, No. 7, 2065-2089 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q74 74A60 76A10 26A33 PDFBibTeX XMLCite \textit{L. Deseri} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 7, 2065--2089 (2014; Zbl 1307.35294) Full Text: DOI
Ostoja-Starzewski, Martin; Li, Jun; Joumaa, Hady; Demmie, Paul N. From fractal media to continuum mechanics. (English) Zbl 1302.74011 ZAMM, Z. Angew. Math. Mech. 94, No. 5, 373-401 (2014). MSC: 74A45 28A80 26A33 74Q05 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski} et al., ZAMM, Z. Angew. Math. Mech. 94, No. 5, 373--401 (2014; Zbl 1302.74011) Full Text: DOI
Lehmich, Stephan; Neff, Patrizio; Lankeit, Johannes On the convexity of the function \(C \mapsto f(\det C)\) on positive-definite matrices. (English) Zbl 1361.74009 Math. Mech. Solids 19, No. 4, 369-375 (2014). MSC: 74B20 74A20 15A45 26B25 PDFBibTeX XMLCite \textit{S. Lehmich} et al., Math. Mech. Solids 19, No. 4, 369--375 (2014; Zbl 1361.74009) Full Text: DOI arXiv
Yang, Fan; Zhu, Keqin A note on the definition of fractional derivatives applied in rheology. (English) Zbl 1293.76019 Acta Mech. Sin. 27, No. 6, 866-876 (2011). MSC: 76A05 74A20 26A33 PDFBibTeX XMLCite \textit{F. Yang} and \textit{K. Zhu}, Acta Mech. Sin. 27, No. 6, 866--876 (2011; Zbl 1293.76019) Full Text: DOI
von Ende, Sven; Lion, Alexander; Lammering, Rolf On the thermodynamically consistent fractional wave equation for viscoelastic solids. (English) Zbl 1398.74176 Acta Mech. 221, No. 1-2, 1-10 (2011). MSC: 74J15 74D05 74A15 26A33 PDFBibTeX XMLCite \textit{S. von Ende} et al., Acta Mech. 221, No. 1--2, 1--10 (2011; Zbl 1398.74176) Full Text: DOI
Li, Jun; Ostoja-Starzewski, Martin Fractal solids, product measures and fractional wave equations. (English) Zbl 1186.74011 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2108, 2521-2536 (2009). MSC: 74A15 26A33 74J30 28A80 PDFBibTeX XMLCite \textit{J. Li} and \textit{M. Ostoja-Starzewski}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2108, 2521--2536 (2009; Zbl 1186.74011) Full Text: DOI Link
Ostoja-Starzewski, Martin; Li, Jun Fractal materials, beams, and fracture mechanics. (English) Zbl 1319.74002 Z. Angew. Math. Phys. 60, No. 6, 1194-1205 (2009). MSC: 74A45 74K10 26A33 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski} and \textit{J. Li}, Z. Angew. Math. Phys. 60, No. 6, 1194--1205 (2009; Zbl 1319.74002) Full Text: DOI
Carpinteri, Alberto; Cornetti, Pietro; Sapora, Alberto Static-kinematic fractional operators for fractal and non-local solids. (English) Zbl 1159.74001 ZAMM, Z. Angew. Math. Mech. 89, No. 3, 207-217 (2009). MSC: 74A99 26A33 28A80 PDFBibTeX XMLCite \textit{A. Carpinteri} et al., ZAMM, Z. Angew. Math. Mech. 89, No. 3, 207--217 (2009; Zbl 1159.74001) Full Text: DOI
Chen, Wen An intuitive study of fractional derivative modeling and fractional quantum in soft matter. (English) Zbl 1229.74009 J. Vib. Control 14, No. 9-10, 1651-1657 (2008). MSC: 74A99 26A33 PDFBibTeX XMLCite \textit{W. Chen}, J. Vib. Control 14, No. 9--10, 1651--1657 (2008; Zbl 1229.74009) Full Text: DOI
Di Paola, Mario; Zingales, Massimiliano Long-range cohesive interactions of non-local continuum faced by fractional calculus. (English) Zbl 1273.74005 Int. J. Solids Struct. 45, No. 21, 5642-5659 (2008). MSC: 74A30 26A33 PDFBibTeX XMLCite \textit{M. Di Paola} and \textit{M. Zingales}, Int. J. Solids Struct. 45, No. 21, 5642--5659 (2008; Zbl 1273.74005) Full Text: DOI
Gargiulo, Giuliano; Zappale, Elvira A remark on the junction in a thin multi-domain: the non convex case. (English) Zbl 1132.74300 NoDEA, Nonlinear Differ. Equ. Appl. 14, No. 5-6, 699-728 (2007). MSC: 74A30 26B25 74K30 PDFBibTeX XMLCite \textit{G. Gargiulo} and \textit{E. Zappale}, NoDEA, Nonlinear Differ. Equ. Appl. 14, No. 5--6, 699--728 (2007; Zbl 1132.74300) Full Text: DOI
Lazopoulos, K. A. Non-local continuum mechanics and fractional calculus. (English) Zbl 1192.74010 Mech. Res. Commun. 33, No. 6, 753-757 (2006). MSC: 74A20 26A33 PDFBibTeX XMLCite \textit{K. A. Lazopoulos}, Mech. Res. Commun. 33, No. 6, 753--757 (2006; Zbl 1192.74010) Full Text: DOI
Agrawal, Om Prakash Application of fractional derivatives in thermal analysis of disk brakes. (English) Zbl 1142.74302 Nonlinear Dyn. 38, No. 1-4, 191-206 (2004). MSC: 74A15 74F05 26A33 80A20 PDFBibTeX XMLCite \textit{O. P. Agrawal}, Nonlinear Dyn. 38, No. 1--4, 191--206 (2004; Zbl 1142.74302) Full Text: DOI
Carpinteri, Alberto; Chiaia, Bernardino; Cornetti, Pietro A disordered microstructure material model based on fractal geometry and fractional calculus. (English) Zbl 1254.74009 ZAMM, Z. Angew. Math. Mech. 84, No. 2, 128-135 (2004). MSC: 74A60 74M25 26A33 28A80 PDFBibTeX XMLCite \textit{A. Carpinteri} et al., ZAMM, Z. Angew. Math. Mech. 84, No. 2, 128--135 (2004; Zbl 1254.74009) Full Text: DOI
Atanackovic, Teodor M. On a distributed derivative model of a viscoelastic body. (English) Zbl 1177.74093 C. R., Méc., Acad. Sci. Paris 331, No. 10, 687-692 (2003). MSC: 74D05 74A15 26A33 PDFBibTeX XMLCite \textit{T. M. Atanackovic}, C. R., Méc., Acad. Sci. Paris 331, No. 10, 687--692 (2003; Zbl 1177.74093) Full Text: DOI
Carpinteri, A.; Chiaia, B.; Cornetti, P. A fractional calculus approach to the mechanics of fractal media. (English) Zbl 1175.26007 Rend. Semin. Mat., Torino 58, No. 1, 57-68 (2000). MSC: 26A33 74A30 74R10 PDFBibTeX XMLCite \textit{A. Carpinteri} et al., Rend. Semin. Mat., Torino 58, No. 1, 57--68 (2000; Zbl 1175.26007) Full Text: EuDML
Rosakis, Phoebus Characterization of convex isotropic functions. (English) Zbl 0906.73018 J. Elasticity 49, No. 3, 257-267 (1998). MSC: 74B20 74A20 26B25 PDFBibTeX XMLCite \textit{P. Rosakis}, J. Elasticity 49, No. 3, 257--267 (1998; Zbl 0906.73018) Full Text: DOI
Hilfer, R. Fractional derivatives in static and dynamic scaling. (English) Zbl 0991.26003 Dubrulle, B. (ed.) et al., Scale invariance and beyond. Papers from the workshop, Les Houches, France, March 10-14, 1997. Berlin: Springer. Centre de Physique des Houches. Publications. 7, 53-62 (1997). Reviewer: Anatoliy Aleksandrovich Kilbas (Minsk) MSC: 26A33 47A35 74A15 37A10 PDFBibTeX XMLCite \textit{R. Hilfer}, in: Scale invariance and beyond. Papers from the workshop, Les Houches, France, March 10--14, 1997. Berlin: Springer; Les Ulis: EDP Sciences. 53--62 (1997; Zbl 0991.26003)
Morgan, Frank; Sullivan, John; Larché, Francis Monotonicity theorems for two-phase solids. (English) Zbl 0785.73006 Arch. Ration. Mech. Anal. 124, No. 4, 329-353 (1993). MSC: 74A15 80A22 26B25 PDFBibTeX XMLCite \textit{F. Morgan} et al., Arch. Ration. Mech. Anal. 124, No. 4, 329--353 (1993; Zbl 0785.73006) Full Text: DOI
Nobis, Krzysztof Balance equations for mixture and porous media in the light of nonstandard analysis. (English) Zbl 0625.73001 Mech. Teor. Stosow. 24, 281-298 (1986). Reviewer: G.Brunk MSC: 74Axx 76A02 53A45 26E35 PDFBibTeX XMLCite \textit{K. Nobis}, Mech. Teor. Stosow. 24, 281--298 (1986; Zbl 0625.73001)
Nobis, Krzysztof On the application of nonstandard analysis in mechanics of porous media. (English) Zbl 0551.73008 Bull. Pol. Acad. Sci., Tech. Sci. 32, 383-387 (1984). Reviewer: V.Komkov MSC: 74A99 26E35 74L10 PDFBibTeX XMLCite \textit{K. Nobis}, Bull. Pol. Acad. Sci., Tech. Sci. 32, 383--387 (1984; Zbl 0551.73008)
Nobis, Krzysztof; Wierzbicki, Ewaryst; Woźniak, Czesław On the physical interpretation of Nonstandard methods in mechanics. (English) Zbl 0551.73007 Bull. Pol. Acad. Sci., Tech. Sci. 32, 379-382 (1984). Reviewer: V.Komkov MSC: 74A99 26E35 PDFBibTeX XMLCite \textit{K. Nobis} et al., Bull. Pol. Acad. Sci., Tech. Sci. 32, 379--382 (1984; Zbl 0551.73007)
Panagiotopoulos, Panagiotis D. Une généralisation non-convexe de la notion du sur-potentiel et ses applications. (French) Zbl 0539.73008 C. R. Acad. Sci., Paris, Sér. II 296, 1105-1108 (1983). Reviewer: S.I.Chiriacescu MSC: 74B20 74A20 26A51 49J40 PDFBibTeX XMLCite \textit{P. D. Panagiotopoulos}, C. R. Acad. Sci., Paris, Sér. II 296, 1105--1108 (1983; Zbl 0539.73008)
Panagiotopoulos, P. D. Nonconvex energy functions. Hemivariational inequalities and substationarity principles. (English) Zbl 0538.73018 Acta Mech. 48, 111-130 (1983). Reviewer: W.Barański MSC: 74S30 74A20 49S05 49J40 26A27 PDFBibTeX XMLCite \textit{P. D. Panagiotopoulos}, Acta Mech. 48, 111--130 (1983; Zbl 0538.73018) Full Text: DOI
Wachecka-Skowron, Anna Internal constraints for rate-type materials. (Polish. English, Russian summaries) Zbl 0535.73001 Mech. Teor. Stosow. 20, 237-243 (1982). Reviewer: W.Kosiński MSC: 74A20 26E25 PDFBibTeX XMLCite \textit{A. Wachecka-Skowron}, Mech. Teor. Stosow. 20, 237--243 (1982; Zbl 0535.73001)
Panagiotopoulos, P. D. Superpotentials in the sense of Clarke and in the sense of Warga and applications. (English) Zbl 0514.73011 Z. Angew. Math. Mech. 62, T147-T149 (1982). MSC: 74S30 49J40 49K15 26A27 74A15 74A99 26B35 26B05 PDFBibTeX XMLCite \textit{P. D. Panagiotopoulos}, Z. Angew. Math. Mech. 62, T147--T149 (1982; Zbl 0514.73011)
Herrmann, Robert A. Rigorous infinitesimal modelling. (English) Zbl 0475.03039 Math. Jap. 26, 461-465 (1981). MSC: 03H10 74A99 70B99 26E35 PDFBibTeX XMLCite \textit{R. A. Herrmann}, Math. Japon. 26, 461--465 (1981; Zbl 0475.03039)
Kosinski, W. On weak solutions, stability and uniqueness in dynamics of dissipative bodies. (English) Zbl 0467.73005 Arch. Mech. 33, 319-323 (1981). MSC: 74A15 82B30 74A20 80A10 35L67 74G30 74H25 26B30 PDFBibTeX XMLCite \textit{W. Kosinski}, Arch. Mech. 33, 319--323 (1981; Zbl 0467.73005)
Wozniak, Czeslaw Non-standard analysis and material systems in mechanics. II. (English) Zbl 0481.70022 Bull. Acad. Pol. Sci., Sér. Sci. Tech. 28, 21-24 (1980). MSC: 70H99 74A99 26A99 PDFBibTeX XMLCite \textit{C. Wozniak}, Bull. Acad. Pol. Sci., Sér. Sci. Tech. 28, 21--24 (1980; Zbl 0481.70022)
Wozniak, Czeslaw Non-standard analysis and material systems in mechanics. I. (English) Zbl 0481.70021 Bull. Acad. Pol. Sci., Sér. Sci. Tech. 28, 17-20 (1980). MSC: 70H99 74A99 26A99 PDFBibTeX XMLCite \textit{C. Wozniak}, Bull. Acad. Pol. Sci., Sér. Sci. Tech. 28, 17--20 (1980; Zbl 0481.70021)
Wozniak, C. Non-standard approach to the theory of elasticity. II: On the concept of ideal constraints in continuum mechanics. (English) Zbl 0389.73008 Bull. Acad. Pol. Sci., Sér. Sci. Tech. 24, 369-374 (1976). MSC: 74A99 26E35 PDFBibTeX XMLCite \textit{C. Wozniak}, Bull. Acad. Pol. Sci., Sér. Sci. Tech. 24, 369--374 (1976; Zbl 0389.73008)
Wozniak, C. Non-standard approach to the theory of elasticity. I: General introduction and the field equations. (English) Zbl 0389.73007 Bull. Acad. Pol. Sci., Sér. Sci. Tech. 24, 363-367 (1976). MSC: 74A99 26E35 PDFBibTeX XMLCite \textit{C. Wozniak}, Bull. Acad. Pol. Sci., Sér. Sci. Tech. 24, 363--367 (1976; Zbl 0389.73007)