dell’Isola, F.; Eremeyev, V. A.; Korolenko, V. A.; Solyaev, Y. O. Deformation of an elastic second gradient spherical body under equatorial line density of dead forces. (English) Zbl 07782731 Eur. J. Mech., A, Solids 103, Article ID 105153, 10 p. (2024). MSC: 74B15 74G70 PDFBibTeX XMLCite \textit{F. dell'Isola} et al., Eur. J. Mech., A, Solids 103, Article ID 105153, 10 p. (2024; Zbl 07782731) Full Text: DOI
Placidi, Luca; Barchiesi, Emilio; dell’Isola, Francesco; Maksimov, Valerii; Misra, Anil; Rezaei, Nasrin; Scrofani, Angelo; Timofeev, Dmitry On a hemi-variational formulation for a 2D elasto-plastic-damage strain gradient solid with granular microstructure. (English) Zbl 07817656 Math. Eng. (Springfield) 5, No. 1, Paper No. 21, 24 p. (2023). MSC: 74-XX 35-XX PDFBibTeX XMLCite \textit{L. Placidi} et al., Math. Eng. (Springfield) 5, No. 1, Paper No. 21, 24 p. (2023; Zbl 07817656) Full Text: DOI
Abali, Bilen Emek Energy based methods applied in mechanics by using the extended Noether’s formalism. (English) Zbl 07801495 ZAMM, Z. Angew. Math. Mech. 103, No. 12, Article ID e202300020, 23 p. (2023). MSC: 74A45 74B99 70S10 70H33 PDFBibTeX XMLCite \textit{B. E. Abali}, ZAMM, Z. Angew. Math. Mech. 103, No. 12, Article ID e202300020, 23 p. (2023; Zbl 07801495) Full Text: DOI arXiv OA License
Krawietz, Arnold The crust shell and the edge beams of third-gradient continua in current and referential description. (English) Zbl 07784021 Acta Mech. 234, No. 12, 6529-6559 (2023). MSC: 74K25 74K10 74A30 PDFBibTeX XMLCite \textit{A. Krawietz}, Acta Mech. 234, No. 12, 6529--6559 (2023; Zbl 07784021) Full Text: DOI OA License
Scrofani, Angelo; Barchiesi, Emilio; Chiaia, Bernardino; Misra, Anil; Placidi, Luca Fluid diffusion related aging effect in a concrete dam modeled as a Timoshenko beam. (English) Zbl 07772355 Math. Mech. Complex Syst. 11, No. 2, 313-334 (2023). MSC: 74-XX PDFBibTeX XMLCite \textit{A. Scrofani} et al., Math. Mech. Complex Syst. 11, No. 2, 313--334 (2023; Zbl 07772355) Full Text: DOI
Georgievskii, Dimitri; Putkaradze, Vakhtang Energy-based stability estimates for incompressible media with tensor-nonlinear constitutive relations. (English) Zbl 1522.76005 Contin. Mech. Thermodyn. 35, No. 4, 1403-1415 (2023). MSC: 76A05 76A99 PDFBibTeX XMLCite \textit{D. Georgievskii} and \textit{V. Putkaradze}, Contin. Mech. Thermodyn. 35, No. 4, 1403--1415 (2023; Zbl 1522.76005) Full Text: DOI
Valmalle, Malo; Smaniotto, Benjamin; Spagnuolo, Mario; Ciallella, Alessandro; Hild, François Mesoscale DVC analyses and parameter calibration for pantographic block in 3-point flexure. (English) Zbl 07736638 Eur. J. Mech., A, Solids 101, Article ID 105063, 14 p. (2023). MSC: 74-XX PDFBibTeX XMLCite \textit{M. Valmalle} et al., Eur. J. Mech., A, Solids 101, Article ID 105063, 14 p. (2023; Zbl 07736638) Full Text: DOI
La Valle, G.; Spagnuolo, M.; Turco, E.; Desmorat, B. A new torsional energy for pantographic sheets. (English) Zbl 1509.74039 Z. Angew. Math. Phys. 74, No. 2, Paper No. 67, 14 p. (2023). MSC: 74K99 74Q15 74P10 74-05 PDFBibTeX XMLCite \textit{G. La Valle} et al., Z. Angew. Math. Phys. 74, No. 2, Paper No. 67, 14 p. (2023; Zbl 1509.74039) Full Text: DOI
Alavi, S. Ehsan; Ganghoffer, Jean-François; Sadighi, Mojtaba Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization. (English) Zbl 07619137 Math. Mech. Solids 27, No. 10, 2287-2313 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{S. E. Alavi} et al., Math. Mech. Solids 27, No. 10, 2287--2313 (2022; Zbl 07619137) Full Text: DOI
Sheydakov, Denis N. Influence of internal stresses on stability of multilayer micropolar tubes. (English) Zbl 07619134 Math. Mech. Solids 27, No. 10, 2239-2255 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{D. N. Sheydakov}, Math. Mech. Solids 27, No. 10, 2239--2255 (2022; Zbl 07619134) Full Text: DOI
Ciallella, Alessandro; Pasquali, Davide; D’Annibale, Francesco; Giorgio, Ivan Shear rupture mechanism and dissipation phenomena in bias-extension test of pantographic sheets: numerical modeling and experiments. (English) Zbl 07619130 Math. Mech. Solids 27, No. 10, 2170-2188 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{A. Ciallella} et al., Math. Mech. Solids 27, No. 10, 2170--2188 (2022; Zbl 07619130) Full Text: DOI
La Valle, Gabriele; Ciallella, Alessandro; Falsone, Giovanni The effect of local random defects on the response of pantographic sheets. (English) Zbl 07619129 Math. Mech. Solids 27, No. 10, 2147-2169 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{G. La Valle} et al., Math. Mech. Solids 27, No. 10, 2147--2169 (2022; Zbl 07619129) Full Text: DOI
Fedele, Roberto Third-gradient continua: nonstandard equilibrium equations and selection of work conjugate variables. (English) Zbl 07619123 Math. Mech. Solids 27, No. 10, 2046-2072 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{R. Fedele}, Math. Mech. Solids 27, No. 10, 2046--2072 (2022; Zbl 07619123) Full Text: DOI
Bersani, Alberto M.; Cazzani, Antonio; Giorgio, Ivan; Spagnuolo, Mario Maestro and his pupils: history of a scientific production. (English) Zbl 07619112 Math. Mech. Solids 27, No. 10, 1876-1887 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{A. M. Bersani} et al., Math. Mech. Solids 27, No. 10, 1876--1887 (2022; Zbl 07619112) Full Text: DOI
Rahali, Yosra; Reda, Hilal; Vieille, Benoit; Lakiss, Hassan; Ganghoffer, Jean-François Second gradient linear and nonlinear constitutive models of architectured materials: static and dynamic behaviors. (English) Zbl 1496.74021 Marmo, Francesco (ed.) et al., Mathematical applications in continuum and structural mechanics. Cham: Springer. Adv. Struct. Mater. 127, 53-71 (2022). MSC: 74A20 74Q05 74-10 PDFBibTeX XMLCite \textit{Y. Rahali} et al., Adv. Struct. Mater. 127, 53--71 (2022; Zbl 1496.74021) Full Text: DOI
Eremin, Artem; Glushkov, Evgeny; Glushkova, Natalia; Lammering, Rolf Usage of guided wave resonance phenomena for defect detection in laminate elastic structures. (English) Zbl 1496.74083 Marmo, Francesco (ed.) et al., Mathematical applications in continuum and structural mechanics. Cham: Springer. Adv. Struct. Mater. 127, 1-12 (2022). MSC: 74J20 74-10 PDFBibTeX XMLCite \textit{A. Eremin} et al., Adv. Struct. Mater. 127, 1--12 (2022; Zbl 1496.74083) Full Text: DOI
Sessa, Salvatore; Barchiesi, Emilio; Placidi, Luca; Paradiso, Massimo; Turco, Emilio; Hamila, Nahiene An insight into computational challenges in damage mechanics: analysis of a softening Hooke’s spring. (English) Zbl 1496.74014 Giorgio, Ivan (ed.) et al., Theoretical analyses, computations, and experiments of multiscale materials. A tribute to Francesco dell’Isola. Cham: Springer. Adv. Struct. Mater. 175, 537-564 (2022). MSC: 74-10 74A45 PDFBibTeX XMLCite \textit{S. Sessa} et al., Adv. Struct. Mater. 175, 537--564 (2022; Zbl 1496.74014) Full Text: DOI
Fedele, Roberto Deformation-induced coupling of the generalized external actions in third-gradient materials. (English) Zbl 1500.74008 Z. Angew. Math. Phys. 73, No. 5, Paper No. 218, 29 p. (2022). MSC: 74B20 74A20 PDFBibTeX XMLCite \textit{R. Fedele}, Z. Angew. Math. Phys. 73, No. 5, Paper No. 218, 29 p. (2022; Zbl 1500.74008) Full Text: DOI
Eremeyev, Victor A.; dell’Isola, Francesco On weak solutions of the boundary value problem within linear dilatational strain gradient elasticity for polyhedral Lipschitz domains. (English) Zbl 07590432 Math. Mech. Solids 27, No. 3, 433-445 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{V. A. Eremeyev} and \textit{F. dell'Isola}, Math. Mech. Solids 27, No. 3, 433--445 (2022; Zbl 07590432) Full Text: DOI
Merzouki, Tarek; Ahmed, Houari Mohammed Sid; Bessaim, Aicha; Haboussi, Mohamed; Dimitri, Rossana; Tornabene, Francesco Bending analysis of functionally graded porous nanocomposite beams based on a non-local strain gradient theory. (English) Zbl 07590414 Math. Mech. Solids 27, No. 1, 66-92 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{T. Merzouki} et al., Math. Mech. Solids 27, No. 1, 66--92 (2022; Zbl 07590414) Full Text: DOI
Badur, Janusz; Ochrymiuk, Tomasz; Kowalczyk, Tomasz; Dudda, Waldemar; Ziółkowski, Paweł From fluid mechanics backgrounds to modern field theory. (English) Zbl 1498.01002 Acta Mech. 233, No. 8, 3453-3465 (2022). Reviewer: Thomas Sonar (Braunschweig) MSC: 01-02 76-03 83-03 PDFBibTeX XMLCite \textit{J. Badur} et al., Acta Mech. 233, No. 8, 3453--3465 (2022; Zbl 1498.01002) Full Text: DOI
Li, Baotong; Duan, Yuqi; Yang, Hua; Lou, Yanshan; Müller, Wolfgang H. Isogeometric topology optimization of strain gradient materials. (English) Zbl 1507.74315 Comput. Methods Appl. Mech. Eng. 397, Article ID 115135, 23 p. (2022). MSC: 74P15 74S22 PDFBibTeX XMLCite \textit{B. Li} et al., Comput. Methods Appl. Mech. Eng. 397, Article ID 115135, 23 p. (2022; Zbl 1507.74315) Full Text: DOI
Capobianco, Giuseppe; Eugster, Simon R. On the divergence theorem for submanifolds of Euclidean vector spaces within the theory of second-gradient continua. (English) Zbl 1491.53101 Z. Angew. Math. Phys. 73, No. 3, Paper No. 86, 16 p. (2022). MSC: 53Z05 53Z30 53A07 74A99 PDFBibTeX XMLCite \textit{G. Capobianco} and \textit{S. R. Eugster}, Z. Angew. Math. Phys. 73, No. 3, Paper No. 86, 16 p. (2022; Zbl 1491.53101) Full Text: DOI
La Valle, Gabriele A new deformation measure for the nonlinear micropolar continuum. (English) Zbl 1491.74005 Z. Angew. Math. Phys. 73, No. 2, Paper No. 78, 26 p. (2022). MSC: 74A05 74A35 74A60 PDFBibTeX XMLCite \textit{G. La Valle}, Z. Angew. Math. Phys. 73, No. 2, Paper No. 78, 26 p. (2022; Zbl 1491.74005) Full Text: DOI
Yang, Hua; Timofeev, Dmitry; Abali, B. Emek; Li, Baotong; Müller, Wolfgang H. Verification of strain gradient elasticity computation by analytical solutions. (English) Zbl 07813220 ZAMM, Z. Angew. Math. Mech. 101, No. 12, Article ID e202100023, 20 p. (2021). MSC: 74Axx 74Bxx 74Sxx PDFBibTeX XMLCite \textit{H. Yang} et al., ZAMM, Z. Angew. Math. Mech. 101, No. 12, Article ID e202100023, 20 p. (2021; Zbl 07813220) Full Text: DOI OA License
Barchiesi, Emilio; Misra, Anil; Placidi, Luca; Turco, Emilio Granular micromechanics-based identification of isotropic strain gradient parameters for elastic geometrically nonlinear deformations. (English) Zbl 07813202 ZAMM, Z. Angew. Math. Mech. 101, No. 11, Article ID e202100059, 21 p. (2021). MSC: 74Axx 74Bxx 74Exx PDFBibTeX XMLCite \textit{E. Barchiesi} et al., ZAMM, Z. Angew. Math. Mech. 101, No. 11, Article ID e202100059, 21 p. (2021; Zbl 07813202) Full Text: DOI
Abali, Bilen Emek; Klunker, Andre; Barchiesi, Emilio; Placidi, Luca A novel phase-field approach to brittle damage mechanics of gradient metamaterials combining action formalism and history variable. (English) Zbl 07813150 ZAMM, Z. Angew. Math. Mech. 101, No. 9, Article ID e202000289, 21 p. (2021). MSC: 74Rxx 74Axx 74Sxx PDFBibTeX XMLCite \textit{B. E. Abali} et al., ZAMM, Z. Angew. Math. Mech. 101, No. 9, Article ID e202000289, 21 p. (2021; Zbl 07813150) Full Text: DOI OA License
Krawietz, Arnold Surface phenomena of gradient materials. (English) Zbl 1521.74138 Contin. Mech. Thermodyn. 33, No. 5, 2203-2212 (2021). MSC: 74K25 PDFBibTeX XMLCite \textit{A. Krawietz}, Contin. Mech. Thermodyn. 33, No. 5, 2203--2212 (2021; Zbl 1521.74138) Full Text: DOI
Javili, A.; Ekiz, E.; McBride, A. T.; Steinmann, P. Continuum-kinematics-inspired peridynamics: thermo-mechanical problems. (English) Zbl 1521.74044 Contin. Mech. Thermodyn. 33, No. 5, 2039-2063 (2021). MSC: 74F05 74A05 PDFBibTeX XMLCite \textit{A. Javili} et al., Contin. Mech. Thermodyn. 33, No. 5, 2039--2063 (2021; Zbl 1521.74044) Full Text: DOI
Alavi, S. E.; Nasimsobhan, M.; Ganghoffer, J. F.; Sinoimeri, A.; Sadighi, M. Chiral Cosserat model for architected materials constructed by homogenization. (English) Zbl 1523.74005 Meccanica 56, No. 10, 2547-2574 (2021). MSC: 74A40 74Q15 74A35 74K10 PDFBibTeX XMLCite \textit{S. E. Alavi} et al., Meccanica 56, No. 10, 2547--2574 (2021; Zbl 1523.74005) Full Text: DOI
Farkhutdinov, Tagir; Gay-Balmaz, François; Putkaradze, Vakhtang Actively deforming porous media in an incompressible fluid: a variational approach. (English) Zbl 1509.35215 Physica D 426, Article ID 132984, 23 p. (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q92 35Q74 35A15 76S05 76N10 74F10 74L15 74B20 92C10 PDFBibTeX XMLCite \textit{T. Farkhutdinov} et al., Physica D 426, Article ID 132984, 23 p. (2021; Zbl 1509.35215) Full Text: DOI arXiv
Javanbakht, Mahdi; Ghaedi, Mohammad Sadegh; Barchiesi, Emilio; Ciallella, Alessandro The effect of a pre-existing nanovoid on martensite formation and interface propagation: a phase field study. (English) Zbl 1486.74112 Math. Mech. Solids 26, No. 1, 90-109 (2021). MSC: 74N15 PDFBibTeX XMLCite \textit{M. Javanbakht} et al., Math. Mech. Solids 26, No. 1, 90--109 (2021; Zbl 1486.74112) Full Text: DOI
Spagnuolo, Mario; Yildizdag, M. Erden; Andreaus, Ugo; Cazzani, Antonio M. Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures? (English) Zbl 1486.74005 Math. Mech. Solids 26, No. 1, 18-29 (2021). MSC: 74A20 PDFBibTeX XMLCite \textit{M. Spagnuolo} et al., Math. Mech. Solids 26, No. 1, 18--29 (2021; Zbl 1486.74005) Full Text: DOI
Javili, A.; Firooz, S.; McBride, A. T.; Steinmann, P. The computational framework for continuum-kinematics-inspired peridynamics. (English) Zbl 1465.74016 Comput. Mech. 66, No. 4, 795-824 (2020); correction ibid. 66, No. 4, 825 (2020). MSC: 74A70 74S99 PDFBibTeX XMLCite \textit{A. Javili} et al., Comput. Mech. 66, No. 4, 795--824 (2020; Zbl 1465.74016) Full Text: DOI arXiv
Farkhutdinov, Tagir; Gay-Balmaz, François; Putkaradze, Vakhtang Geometric variational approach to the dynamics of porous medium, filled with incompressible fluid. (English) Zbl 1451.74075 Acta Mech. 231, No. 9, 3897-3924 (2020). MSC: 74F10 74J10 74H55 70H25 PDFBibTeX XMLCite \textit{T. Farkhutdinov} et al., Acta Mech. 231, No. 9, 3897--3924 (2020; Zbl 1451.74075) Full Text: DOI arXiv
Eremeyev, V. A.; dell’Isola, F. Weak solutions within the gradient-incomplete strain-gradient elasticity. (English) Zbl 1453.74012 Lobachevskii J. Math. 41, No. 10, 1992-1998 (2020). MSC: 74B99 74G22 74G30 35Q74 PDFBibTeX XMLCite \textit{V. A. Eremeyev} and \textit{F. dell'Isola}, Lobachevskii J. Math. 41, No. 10, 1992--1998 (2020; Zbl 1453.74012) Full Text: DOI
Eremeyev, Victor A.; Lurie, Sergey A.; Solyaev, Yury O.; dell’Isola, Francesco On the well posedness of static boundary value problem within the linear dilatational strain gradient elasticity. (English) Zbl 1451.74052 Z. Angew. Math. Phys. 71, No. 6, Paper No. 182, 15 p. (2020). MSC: 74B99 74G22 74G30 74G55 35Q74 PDFBibTeX XMLCite \textit{V. A. Eremeyev} et al., Z. Angew. Math. Phys. 71, No. 6, Paper No. 182, 15 p. (2020; Zbl 1451.74052) Full Text: DOI
Barchiesi, Emilio; Eugster, Simon R.; dell’isola, Francesco; Hild, François Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation. (English) Zbl 1446.74171 Math. Mech. Solids 25, No. 3, 739-767 (2020). MSC: 74K99 74K10 74Q05 74-05 PDFBibTeX XMLCite \textit{E. Barchiesi} et al., Math. Mech. Solids 25, No. 3, 739--767 (2020; Zbl 1446.74171) Full Text: DOI HAL
Rahali, Y.; Eremeyev, V. A.; Ganghoffer, J. F. Surface effects of network materials based on strain gradient homogenized media. (English) Zbl 1446.74197 Math. Mech. Solids 25, No. 2, 389-406 (2020). MSC: 74Q15 74Q05 74G10 74M25 PDFBibTeX XMLCite \textit{Y. Rahali} et al., Math. Mech. Solids 25, No. 2, 389--406 (2020; Zbl 1446.74197) Full Text: DOI
Solyaev, Yury; Lurie, Sergey; Barchiesi, Emilio; Placidi, Luca On the dependence of standard and gradient elastic material constants on a field of defects. (English) Zbl 1446.74090 Math. Mech. Solids 25, No. 1, 35-45 (2020). MSC: 74B99 74A60 PDFBibTeX XMLCite \textit{Y. Solyaev} et al., Math. Mech. Solids 25, No. 1, 35--45 (2020; Zbl 1446.74090) Full Text: DOI
Yildizdag, M. Erden; Barchiesi, Emilio; dell’Isola, Francesco Three-point bending test of pantographic blocks: numerical and experimental investigation. (English) Zbl 07259266 Math. Mech. Solids 25, No. 10, 1965-1978 (2020). MSC: 74-XX PDFBibTeX XMLCite \textit{M. E. Yildizdag} et al., Math. Mech. Solids 25, No. 10, 1965--1978 (2020; Zbl 07259266) Full Text: DOI HAL
Cuomo, M.; Greco, Leopoldo An implicit strong \(\mathrm{G}^1\)-conforming formulation for the analysis of the Kirchhoff plate model. (English) Zbl 1442.74115 Contin. Mech. Thermodyn. 32, No. 3, 621-645 (2020). MSC: 74K20 PDFBibTeX XMLCite \textit{M. Cuomo} and \textit{L. Greco}, Contin. Mech. Thermodyn. 32, No. 3, 621--645 (2020; Zbl 1442.74115) Full Text: DOI
Berezovski, Arkadi; Yildizdag, M. Erden; Scerrato, Daria On the wave dispersion in microstructured solids. (English) Zbl 1442.74092 Contin. Mech. Thermodyn. 32, No. 3, 569-588 (2020). MSC: 74J99 PDFBibTeX XMLCite \textit{A. Berezovski} et al., Contin. Mech. Thermodyn. 32, No. 3, 569--588 (2020; Zbl 1442.74092) Full Text: DOI
Gouin, Henri Symmetric forms for hyperbolic-parabolic systems of multi-gradient fluids. (English) Zbl 07785935 ZAMM, Z. Angew. Math. Mech. 99, No. 7, Article ID e201800188, 16 p. (2019). MSC: 76A02 76E30 76M30 PDFBibTeX XMLCite \textit{H. Gouin}, ZAMM, Z. Angew. Math. Mech. 99, No. 7, Article ID e201800188, 16 p. (2019; Zbl 07785935) Full Text: DOI arXiv
Baroudi, Djebar; Giorgio, Ivan; Battista, Antonio; Turco, Emilio; Igumnov, Leonid A. Nonlinear dynamics of uniformly loaded elastica: experimental and numerical evidence of motion around curled stable equilibrium configurations. (English) Zbl 07785932 ZAMM, Z. Angew. Math. Mech. 99, No. 7, Article ID e201800121, 20 p. (2019). MSC: 74Kxx 74Axx 74Hxx PDFBibTeX XMLCite \textit{D. Baroudi} et al., ZAMM, Z. Angew. Math. Mech. 99, No. 7, Article ID e201800121, 20 p. (2019; Zbl 07785932) Full Text: DOI
Altenbach, Holm; Eremeyev, Victor A. On nonlinear dynamic theory of thin plates with surface stresses. (English) Zbl 1520.74053 Altenbach, Holm (ed.) et al., Contributions to advanced dynamics and continuum mechanics. Dedicated to the 65th birthday of Prof. Alexander K. Belyaev. Cham: Springer. Adv. Struct. Mater. 114, 19-26 (2019). MSC: 74K20 74B99 74H99 PDFBibTeX XMLCite \textit{H. Altenbach} and \textit{V. A. Eremeyev}, Adv. Struct. Mater. 114, 19--26 (2019; Zbl 1520.74053) Full Text: DOI
Javili, A.; McBride, A. T.; Steinmann, P. Continuum-kinematics-inspired peridynamics. Mechanical problems. (English) Zbl 1479.74007 J. Mech. Phys. Solids 131, 125-146 (2019). MSC: 74A05 74A15 PDFBibTeX XMLCite \textit{A. Javili} et al., J. Mech. Phys. Solids 131, 125--146 (2019; Zbl 1479.74007) Full Text: DOI
Eremeyev, Victor A.; Rosi, Giuseppe; Naili, Salah Comparison of anti-plane surface waves in strain-gradient materials and materials with surface stresses. (English) Zbl 07254367 Math. Mech. Solids 24, No. 8, 2526-2535 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{V. A. Eremeyev} et al., Math. Mech. Solids 24, No. 8, 2526--2535 (2019; Zbl 07254367) Full Text: DOI
Sidhardh, Sai; Ray, Manas C. Exact solutions for elastic response in micro- and nano-beams considering strain gradient elasticity. (English) Zbl 1442.74106 Math. Mech. Solids 24, No. 4, 895-918 (2019). MSC: 74K10 74G65 74M25 74G05 PDFBibTeX XMLCite \textit{S. Sidhardh} and \textit{M. C. Ray}, Math. Mech. Solids 24, No. 4, 895--918 (2019; Zbl 1442.74106) Full Text: DOI
El Dhaba, A. R.; Shaat, M. Modeling deformation of auxetic and non-auxetic polymer gels. (English) Zbl 1481.74065 Appl. Math. Modelling 74, 320-336 (2019). MSC: 74B05 82D60 PDFBibTeX XMLCite \textit{A. R. El Dhaba} and \textit{M. Shaat}, Appl. Math. Modelling 74, 320--336 (2019; Zbl 1481.74065) Full Text: DOI
Eremeyev, Victor A. On dynamic boundary conditions within the linear Steigmann-Ogden model of surface elasticity and strain gradient elasticity. (English) Zbl 1429.74018 Altenbach, Holm (ed.) et al., Dynamical processes in generalized continua and structures. Dedicated to Dmitry Anatol’evich Indeitsev on the occasion to his 70th birthday. Cham: Springer. Adv. Struct. Mater. 103, 195-207 (2019). MSC: 74B05 PDFBibTeX XMLCite \textit{V. A. Eremeyev}, Adv. Struct. Mater. 103, 195--207 (2019; Zbl 1429.74018) Full Text: DOI
Placidi, Luca; Rosi, Giuseppe; Barchiesi, Emilio Analytical solutions of 2-dimensional second gradient linear elasticity for continua with cubic-\(\mathrm{D}_4\) microstructure. (English) Zbl 1425.74062 Abali, Bilen Emek (ed.) et al., New achievements in continuum mechanics and thermodynamics. A tribute to Wolfgang H. Müller. Cham: Springer. Adv. Struct. Mater. 108, 383-401 (2019). MSC: 74B05 74M25 74E10 74G05 PDFBibTeX XMLCite \textit{L. Placidi} et al., Adv. Struct. Mater. 108, 383--401 (2019; Zbl 1425.74062) Full Text: DOI
Laudato, Marco; Di Cosmo, Fabio; Drobnicki, Rafał; Göransson, Peter Dynamical vector fields on pantographic sheet: experimental observations. (English) Zbl 1425.74014 Abali, Bilen Emek (ed.) et al., New achievements in continuum mechanics and thermodynamics. A tribute to Wolfgang H. Müller. Cham: Springer. Adv. Struct. Mater. 108, 257-269 (2019). MSC: 74-05 74E30 74M25 PDFBibTeX XMLCite \textit{M. Laudato} et al., Adv. Struct. Mater. 108, 257--269 (2019; Zbl 1425.74014) Full Text: DOI
Eremeyev, Victor A. On non-holonomic boundary conditions within the nonlinear Cosserat continuum. (English) Zbl 1425.74032 Abali, Bilen Emek (ed.) et al., New achievements in continuum mechanics and thermodynamics. A tribute to Wolfgang H. Müller. Cham: Springer. Adv. Struct. Mater. 108, 93-104 (2019). MSC: 74A35 74A05 PDFBibTeX XMLCite \textit{V. A. Eremeyev}, Adv. Struct. Mater. 108, 93--104 (2019; Zbl 1425.74032) Full Text: DOI
Barchiesi, Emilio; Giorgio, Ivan; Alzahrani, Faris; Hayat, Tasawar The effect of mechanical load-induced intraosseous pressure gradients on bone remodeling. (English) Zbl 1425.74321 Abali, Bilen Emek (ed.) et al., New achievements in continuum mechanics and thermodynamics. A tribute to Wolfgang H. Müller. Cham: Springer. Adv. Struct. Mater. 108, 29-49 (2019). MSC: 74L15 92C10 PDFBibTeX XMLCite \textit{E. Barchiesi} et al., Adv. Struct. Mater. 108, 29--49 (2019; Zbl 1425.74321) Full Text: DOI
Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca Mechanical metamaterials: a state of the art. (English) Zbl 1425.74036 Math. Mech. Solids 24, No. 1, 212-234 (2019). MSC: 74A40 74A60 74-02 PDFBibTeX XMLCite \textit{E. Barchiesi} et al., Math. Mech. Solids 24, No. 1, 212--234 (2019; Zbl 1425.74036) Full Text: DOI
Rosi, Giuseppe; Auffray, N. Continuum modelling of frequency dependent acoustic beam focussing and steering in hexagonal lattices. (English) Zbl 1473.74077 Eur. J. Mech., A, Solids 77, Article ID 103803, 13 p. (2019). MSC: 74J99 74Q10 74K99 PDFBibTeX XMLCite \textit{G. Rosi} and \textit{N. Auffray}, Eur. J. Mech., A, Solids 77, Article ID 103803, 13 p. (2019; Zbl 1473.74077) Full Text: DOI
Rapisarda, Alessio Ciro; Della Corte, Alessandro; Drobnicki, Rafał; Di Cosmo, Fabio; Rosa, Luigi A model for bone mechanics and remodeling including cell populations dynamics. (English) Zbl 1412.74049 Z. Angew. Math. Phys. 70, No. 1, Paper No. 9, 17 p. (2019). MSC: 74L15 92C10 92D25 PDFBibTeX XMLCite \textit{A. C. Rapisarda} et al., Z. Angew. Math. Phys. 70, No. 1, Paper No. 9, 17 p. (2019; Zbl 1412.74049) Full Text: DOI
Eugster, Simon R.; dell’Isola, Francesco Exegesis of sect. III.B From “Fundamentals of the mechanics of continua” by E. Hellinger. (English) Zbl 07776748 ZAMM, Z. Angew. Math. Mech. 98, No. 1, 69-105 (2018). MSC: 74Axx 01Axx 80Axx PDFBibTeX XMLCite \textit{S. R. Eugster} and \textit{F. dell'Isola}, ZAMM, Z. Angew. Math. Mech. 98, No. 1, 69--105 (2018; Zbl 07776748) Full Text: DOI
Hou, Peng-Fei; Chen, Jia-Yun; Zhang, Yang Two-dimensional Green’s function of orthotropic three-phase material under a normal line force with application in the design of composite. (English) Zbl 1480.74053 Appl. Math. Modelling 60, 384-415 (2018). MSC: 74E30 PDFBibTeX XMLCite \textit{P.-F. Hou} et al., Appl. Math. Modelling 60, 384--415 (2018; Zbl 1480.74053) Full Text: DOI
Madeo, Angela; Barbagallo, Gabriele; Collet, Manuel; D’Agostino, Marco Valerio; Miniaci, Marco; Neff, Patrizio Relaxed micromorphic modeling of the interface between a homogeneous solid and a band-gap metamaterial: new perspectives towards metastructural design. (English) Zbl 1430.74028 Math. Mech. Solids 23, No. 12, 1485-1506 (2018). MSC: 74E30 74J20 74M25 74S05 PDFBibTeX XMLCite \textit{A. Madeo} et al., Math. Mech. Solids 23, No. 12, 1485--1506 (2018; Zbl 1430.74028) Full Text: DOI arXiv
Javili, Ali Variational formulation of generalized interfaces for finite deformation elasticity. (English) Zbl 1425.74199 Math. Mech. Solids 23, No. 9, 1303-1322 (2018). MSC: 74G65 74B20 PDFBibTeX XMLCite \textit{A. Javili}, Math. Mech. Solids 23, No. 9, 1303--1322 (2018; Zbl 1425.74199) Full Text: DOI Link
Eremeyev, Victor A.; dell’Isola, Francesco; Boutin, Claude; Steigmann, David Linear pantographic sheets: existence and uniqueness of weak solutions. (English) Zbl 1398.74011 J. Elasticity 132, No. 2, 175-196 (2018). MSC: 74A30 74G25 74G30 74G65 46E35 PDFBibTeX XMLCite \textit{V. A. Eremeyev} et al., J. Elasticity 132, No. 2, 175--196 (2018; Zbl 1398.74011) Full Text: DOI
Zeidi, Mahdi; Kim, Chun I. L. Mechanics of an elastic solid reinforced with bidirectional fiber in finite plane elastostatics: complete analysis. (English) Zbl 1392.74008 Contin. Mech. Thermodyn. 30, No. 3, 573-592 (2018). MSC: 74A20 74C10 PDFBibTeX XMLCite \textit{M. Zeidi} and \textit{C. I. L. Kim}, Contin. Mech. Thermodyn. 30, No. 3, 573--592 (2018; Zbl 1392.74008) Full Text: DOI
Placidi, Luca; Misra, Anil; Barchiesi, Emilio Two-dimensional strain gradient damage modeling: a variational approach. (English) Zbl 1393.74168 Z. Angew. Math. Phys. 69, No. 3, Paper No. 56, 19 p. (2018). MSC: 74R05 PDFBibTeX XMLCite \textit{L. Placidi} et al., Z. Angew. Math. Phys. 69, No. 3, Paper No. 56, 19 p. (2018; Zbl 1393.74168) Full Text: DOI
Lekszycki, Tomasz; Bucci, Sara; Del Vescovo, Dionisio; Turco, Emilio; Rizzi, Nicola Luigi A comparison between different approaches for modelling media with viscoelastic properties via optimization analyses. (English) Zbl 07777491 ZAMM, Z. Angew. Math. Mech. 97, No. 5, 515-531 (2017). MSC: 74Kxx 74Axx 74Exx PDFBibTeX XMLCite \textit{T. Lekszycki} et al., ZAMM, Z. Angew. Math. Mech. 97, No. 5, 515--531 (2017; Zbl 07777491) Full Text: DOI
Eugster, Simon R.; dell’Isola, Francesco Exegesis of the introduction and sect. I from “Fundamentals of the mechanics of continua” by E. Hellinger. (English) Zbl 07775186 ZAMM, Z. Angew. Math. Mech. 97, No. 4, 477-506 (2017). MSC: 74Axx 74Kxx 01Axx PDFBibTeX XMLCite \textit{S. R. Eugster} and \textit{F. dell'Isola}, ZAMM, Z. Angew. Math. Mech. 97, No. 4, 477--506 (2017; Zbl 07775186) Full Text: DOI
Javili, Ali; Steinmann, Paul; Mosler, Jörn Micro-to-macro transition accounting for general imperfect interfaces. (English) Zbl 1439.74333 Comput. Methods Appl. Mech. Eng. 317, 274-317 (2017). MSC: 74Q15 74A50 74M25 PDFBibTeX XMLCite \textit{A. Javili} et al., Comput. Methods Appl. Mech. Eng. 317, 274--317 (2017; Zbl 1439.74333) Full Text: DOI Link
Niiranen, Jarkko; Kiendl, Josef; Niemi, Antti H.; Reali, Alessandro Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates. (English) Zbl 1439.74037 Comput. Methods Appl. Mech. Eng. 316, 328-348 (2017). MSC: 74A60 74K20 35J35 35J40 65N12 65N15 35Q74 PDFBibTeX XMLCite \textit{J. Niiranen} et al., Comput. Methods Appl. Mech. Eng. 316, 328--348 (2017; Zbl 1439.74037) Full Text: DOI
Battista, Antonio; Rosa, Luigi; dell’Erba, Ramiro; Greco, Leopoldo Numerical investigation of a particle system compared with first and second gradient continua: deformation and fracture phenomena. (English) Zbl 1395.74005 Math. Mech. Solids 22, No. 11, 2120-2134 (2017). MSC: 74A25 74A45 PDFBibTeX XMLCite \textit{A. Battista} et al., Math. Mech. Solids 22, No. 11, 2120--2134 (2017; Zbl 1395.74005) Full Text: DOI arXiv
Niiranen, Jarkko; Niemi, Antti H. Variational formulations and general boundary conditions for sixth-order boundary value problems of gradient-elastic Kirchhoff plates. (English) Zbl 1406.74446 Eur. J. Mech., A, Solids 61, 164-179 (2017). MSC: 74K20 PDFBibTeX XMLCite \textit{J. Niiranen} and \textit{A. H. Niemi}, Eur. J. Mech., A, Solids 61, 164--179 (2017; Zbl 1406.74446) Full Text: DOI
Placidi, Luca; Barchiesi, Emilio; Della Corte, Alessandro Identification of two-dimensional pantographic structures with a linear D4 orthotropic second gradient elastic model accounting for external bulk double forces. (English) Zbl 1387.74012 dell’Isola, Francesco (ed.) et al., Mathematical modelling in solid mechanics. Contributions mainly based on the presentations at the international conference ‘Emerging trends in applied mathematics and mechanics’, ETAMM 2016, Perpignan, France, May 30 – June 3, 2016. Singapore: Springer (ISBN 978-981-10-3763-4/hbk; 978-981-10-3764-1/ebook). Advanced Structured Materials 69, 211-232 (2017). MSC: 74B05 74E10 PDFBibTeX XMLCite \textit{L. Placidi} et al., Adv. Struct. Mater. 69, 211--232 (2017; Zbl 1387.74012) Full Text: DOI
Placidi, Luca; Barchiesi, Emilio; Battista, Antonio An inverse method to get further analytical solutions for a class of metamaterials aimed to validate numerical integrations. (English) Zbl 1387.74022 dell’Isola, Francesco (ed.) et al., Mathematical modelling in solid mechanics. Contributions mainly based on the presentations at the international conference ‘Emerging trends in applied mathematics and mechanics’, ETAMM 2016, Perpignan, France, May 30 – June 3, 2016. Singapore: Springer (ISBN 978-981-10-3763-4/hbk; 978-981-10-3764-1/ebook). Advanced Structured Materials 69, 193-210 (2017). MSC: 74B99 74G05 74E10 PDFBibTeX XMLCite \textit{L. Placidi} et al., Adv. Struct. Mater. 69, 193--210 (2017; Zbl 1387.74022) Full Text: DOI
Rosi, Giuseppe; Auffray, N. Anisotropic and dispersive wave propagation within strain-gradient framework. (English) Zbl 1469.74030 Wave Motion 63, 120-134 (2016). MSC: 74E10 74A60 PDFBibTeX XMLCite \textit{G. Rosi} and \textit{N. Auffray}, Wave Motion 63, 120--134 (2016; Zbl 1469.74030) Full Text: DOI arXiv
Greco, L.; Cuomo, M. An isogeometric implicit \(G^1\) mixed finite element for Kirchhoff space rods. (English) Zbl 1425.74259 Comput. Methods Appl. Mech. Eng. 298, 325-349 (2016). MSC: 74K10 74S05 65D17 65M60 PDFBibTeX XMLCite \textit{L. Greco} and \textit{M. Cuomo}, Comput. Methods Appl. Mech. Eng. 298, 325--349 (2016; Zbl 1425.74259) Full Text: DOI
Placidi, Luca; Greco, Leopoldo; Bucci, Sara; Turco, Emilio; Rizzi, Nicola Luigi A second gradient formulation for a 2D fabric sheet with inextensible fibres. (English) Zbl 1432.74034 Z. Angew. Math. Phys. 67, No. 5, Article ID 114, 24 p. (2016). MSC: 74B20 74S05 PDFBibTeX XMLCite \textit{L. Placidi} et al., Z. Angew. Math. Phys. 67, No. 5, Article ID 114, 24 p. (2016; Zbl 1432.74034) Full Text: DOI
Bersani, Alberto Maria; Della Corte, Alessandro; Piccardo, Giuseppe; Rizzi, Nicola Luigi An explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic case. (English) Zbl 1359.74037 Z. Angew. Math. Phys. 67, No. 4, Article ID 108, 17 p. (2016). MSC: 74B10 34A05 65L99 PDFBibTeX XMLCite \textit{A. M. Bersani} et al., Z. Angew. Math. Phys. 67, No. 4, Article ID 108, 17 p. (2016; Zbl 1359.74037) Full Text: DOI
Bednarczyk, Ewa; Lekszycki, Tomasz A novel mathematical model for growth of capillaries and nutrient supply with application to prediction of osteophyte onset. (English) Zbl 1432.74150 Z. Angew. Math. Phys. 67, No. 4, Article ID 94, 14 p. (2016). MSC: 74L15 74S05 PDFBibTeX XMLCite \textit{E. Bednarczyk} and \textit{T. Lekszycki}, Z. Angew. Math. Phys. 67, No. 4, Article ID 94, 14 p. (2016; Zbl 1432.74150) Full Text: DOI
Ostoja-Starzewski, Martin Second law violations, continuum mechanics, and permeability. (English) Zbl 1348.80003 Contin. Mech. Thermodyn. 28, No. 1-2, 489-501 (2016); erratum ibid. 29, No. 1, 359 (2017). MSC: 80A10 76T20 82C21 60G42 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski}, Contin. Mech. Thermodyn. 28, No. 1--2, 489--501 (2016; Zbl 1348.80003) Full Text: DOI
Federico, Salvatore; Grillo, Alfio; Segev, Reuven Material description of fluxes in terms of differential forms. (English) Zbl 1348.74012 Contin. Mech. Thermodyn. 28, No. 1-2, 379-390 (2016); correction ibid. 31, No. 1, 361-362 (2019). MSC: 74A05 53A45 53Z05 PDFBibTeX XMLCite \textit{S. Federico} et al., Contin. Mech. Thermodyn. 28, No. 1--2, 379--390 (2016; Zbl 1348.74012) Full Text: DOI
Serpieri, Roberto; Travascio, Francesco General quantitative analysis of stress partitioning and boundary conditions in undrained biphasic porous media via a purely macroscopic and purely variational approach. (English) Zbl 1348.74103 Contin. Mech. Thermodyn. 28, No. 1-2, 235-261 (2016). MSC: 74F10 76S05 74A20 PDFBibTeX XMLCite \textit{R. Serpieri} and \textit{F. Travascio}, Contin. Mech. Thermodyn. 28, No. 1--2, 235--261 (2016; Zbl 1348.74103) Full Text: DOI
Misra, Anil; Poorsolhjouy, Payam Granular micromechanics based micromorphic model predicts frequency band gaps. (English) Zbl 1348.74271 Contin. Mech. Thermodyn. 28, No. 1-2, 215-234 (2016). MSC: 74M25 74E20 PDFBibTeX XMLCite \textit{A. Misra} and \textit{P. Poorsolhjouy}, Contin. Mech. Thermodyn. 28, No. 1--2, 215--234 (2016; Zbl 1348.74271) Full Text: DOI
Huang, Zaixing Shape-dependent natural boundary condition of Lagrangian field. (English) Zbl 1347.83007 Appl. Math. Lett. 61, 56-61 (2016). MSC: 83C05 53Z05 83C40 70H40 PDFBibTeX XMLCite \textit{Z. Huang}, Appl. Math. Lett. 61, 56--61 (2016; Zbl 1347.83007) Full Text: DOI
Misra, Anil; Poorsolhjouy, Payam Granular micromechanics model of anisotropic elasticity derived from Gibbs potential. (English) Zbl 1341.74129 Acta Mech. 227, No. 5, 1393-1413 (2016). MSC: 74M25 74E10 74A60 PDFBibTeX XMLCite \textit{A. Misra} and \textit{P. Poorsolhjouy}, Acta Mech. 227, No. 5, 1393--1413 (2016; Zbl 1341.74129) Full Text: DOI
dell’Isola, F.; Madeo, A.; Seppecher, P. Cauchy tetrahedron argument applied to higher contact interactions. (English) Zbl 1395.74071 Arch. Ration. Mech. Anal. 219, No. 3, 1305-1341 (2016). MSC: 74M15 PDFBibTeX XMLCite \textit{F. dell'Isola} et al., Arch. Ration. Mech. Anal. 219, No. 3, 1305--1341 (2016; Zbl 1395.74071) Full Text: DOI HAL
dell’Isola, F.; d’Agostino, M. V.; Madeo, A.; Boisse, P.; Steigmann, D. Minimization of shear energy in two dimensional continua with two orthogonal families of inextensible fibers: the case of standard bias extension test. (English) Zbl 1330.74024 J. Elasticity 122, No. 2, 131-155 (2016). MSC: 74B20 74K99 74E99 PDFBibTeX XMLCite \textit{F. dell'Isola} et al., J. Elasticity 122, No. 2, 131--155 (2016; Zbl 1330.74024) Full Text: DOI HAL
Rahali, Y.; Giorgio, I.; Ganghoffer, J. F.; dell’Isola, F. Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices. (English) Zbl 1423.74794 Int. J. Eng. Sci. 97, 148-172 (2015). MSC: 74Q05 74K10 PDFBibTeX XMLCite \textit{Y. Rahali} et al., Int. J. Eng. Sci. 97, 148--172 (2015; Zbl 1423.74794) Full Text: DOI HAL
Auffray, Nicolas On the isotropic moduli of 2D strain-gradient elasticity. (English) Zbl 1341.74029 Contin. Mech. Thermodyn. 27, No. 1-2, 5-19 (2015). MSC: 74C05 74N15 PDFBibTeX XMLCite \textit{N. Auffray}, Contin. Mech. Thermodyn. 27, No. 1--2, 5--19 (2015; Zbl 1341.74029) Full Text: DOI arXiv
Alibert, Jean-Jacques; Della Corte, Alessandro Second-gradient continua as homogenized limit of pantographic microstructured plates: a rigorous proof. (English) Zbl 1327.74128 Z. Angew. Math. Phys. 66, No. 5, 2855-2870 (2015). MSC: 74Q05 28A33 35B27 PDFBibTeX XMLCite \textit{J.-J. Alibert} and \textit{A. Della Corte}, Z. Angew. Math. Phys. 66, No. 5, 2855--2870 (2015; Zbl 1327.74128) Full Text: DOI
Carcaterra, A.; Dell’Isola, F.; Esposito, R.; Pulvirenti, M. Macroscopic description of microscopically strongly inhomogenous systems: a mathematical basis for the synthesis of higher gradients metamaterials. (English) Zbl 1352.37193 Arch. Ration. Mech. Anal. 218, No. 3, 1239-1262 (2015). MSC: 37N05 74A60 49M25 37N15 PDFBibTeX XMLCite \textit{A. Carcaterra} et al., Arch. Ration. Mech. Anal. 218, No. 3, 1239--1262 (2015; Zbl 1352.37193) Full Text: DOI arXiv
Morro, A. Micropolar mixtures and balance of orientational momentum. (English) Zbl 1320.76009 Meccanica 50, No. 3, 595-602 (2015). MSC: 76A15 76S05 82D30 PDFBibTeX XMLCite \textit{A. Morro}, Meccanica 50, No. 3, 595--602 (2015; Zbl 1320.76009) Full Text: DOI
Cuomo, Massimo; Contrafatto, Loredana; Greco, Leopoldo A variational model based on isogeometric interpolation for the analysis of cracked bodies. (English) Zbl 1423.74055 Int. J. Eng. Sci. 80, 173-188 (2014). MSC: 74A45 74S05 74R10 PDFBibTeX XMLCite \textit{M. Cuomo} et al., Int. J. Eng. Sci. 80, 173--188 (2014; Zbl 1423.74055) Full Text: DOI
Del Vescovo, Dionisio; Giorgio, Ivan Dynamic problems for metamaterials: review of existing models and ideas for further research. (English) Zbl 1423.74039 Int. J. Eng. Sci. 80, 153-172 (2014). MSC: 74A30 74M05 74M25 PDFBibTeX XMLCite \textit{D. Del Vescovo} and \textit{I. Giorgio}, Int. J. Eng. Sci. 80, 153--172 (2014; Zbl 1423.74039) Full Text: DOI HAL
Eremeyev, Victor A.; Altenbach, Holm Equilibrium of a second-gradient fluid and an elastic solid with surface stresses. (English) Zbl 1306.76010 Meccanica 49, No. 11, 2635-2643 (2014). MSC: 76B45 74F10 74B20 76M30 PDFBibTeX XMLCite \textit{V. A. Eremeyev} and \textit{H. Altenbach}, Meccanica 49, No. 11, 2635--2643 (2014; Zbl 1306.76010) Full Text: DOI