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
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
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
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
Placidi, Luca; Barchiesi, Emilio; Misra, Anil; Timofeev, Dmitry Micromechanics-based elasto-plastic-damage energy formulation for strain gradient solids with granular microstructure. (English) Zbl 1521.74175 Contin. Mech. Thermodyn. 33, No. 5, 2213-2241 (2021). MSC: 74N15 74E20 74C05 74A45 PDFBibTeX XMLCite \textit{L. Placidi} et al., Contin. Mech. Thermodyn. 33, No. 5, 2213--2241 (2021; Zbl 1521.74175) Full Text: DOI
Misra, Anil; Placidi, Luca; dell’Isola, Francesco; Barchiesi, Emilio Identification of a geometrically nonlinear micromorphic continuum via granular micromechanics. (English) Zbl 1470.74008 Z. Angew. Math. Phys. 72, No. 4, Paper No. 157, 21 p. (2021). MSC: 74A60 74E20 PDFBibTeX XMLCite \textit{A. Misra} et al., Z. Angew. Math. Phys. 72, No. 4, Paper No. 157, 21 p. (2021; Zbl 1470.74008) Full Text: DOI
Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. (English) Zbl 07357426 Math. Mech. Solids 26, No. 5, 738-770 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{D. Timofeev} et al., Math. Mech. Solids 26, No. 5, 738--770 (2021; Zbl 07357426) Full Text: DOI
Chiaia, Bernardino; De Biagi, Valerio; Placidi, Luca A damaged non-homogeneous Timoshenko beam model for a dam subjected to aging effects. (English) Zbl 07357423 Math. Mech. Solids 26, No. 5, 694-707 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{B. Chiaia} et al., Math. Mech. Solids 26, No. 5, 694--707 (2021; Zbl 07357423) Full Text: DOI
Barchiesi, E.; Yang, H.; Tran, Ca; Placidi, L.; Müller, W. H. Computation of brittle fracture propagation in strain gradient materials by the FEniCS library. (English) Zbl 07357405 Math. Mech. Solids 26, No. 3, 325-340 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Barchiesi} et al., Math. Mech. Solids 26, No. 3, 325--340 (2021; Zbl 07357405) 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
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
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
Barchiesi, Emilio; Eugster, Simon R.; Placidi, Luca; dell’Isola, Francesco Pantographic beam: a complete second gradient 1D-continuum in plane. (English) Zbl 1425.74387 Z. Angew. Math. Phys. 70, No. 5, Paper No. 135, 24 p. (2019). MSC: 74Q05 74B99 74N15 74S05 PDFBibTeX XMLCite \textit{E. Barchiesi} et al., Z. Angew. Math. Phys. 70, No. 5, Paper No. 135, 24 p. (2019; Zbl 1425.74387) Full Text: DOI HAL
Placidi, Luca; Barchiesi, Emilio Energy approach to brittle fracture in strain-gradient modelling. (English) Zbl 1402.74094 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2210, Article ID 20170878, 19 p. (2018). MSC: 74R10 PDFBibTeX XMLCite \textit{L. Placidi} and \textit{E. Barchiesi}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2210, Article ID 20170878, 19 p. (2018; Zbl 1402.74094) Full Text: DOI
Rosi, Giuseppe; Placidi, Luca; Auffray, Nicolas On the validity range of strain-gradient elasticity: a mixed static-dynamic identification procedure. (English) Zbl 1406.74092 Eur. J. Mech., A, Solids 69, 179-191 (2018). MSC: 74B05 PDFBibTeX XMLCite \textit{G. Rosi} et al., Eur. J. Mech., A, Solids 69, 179--191 (2018; Zbl 1406.74092) Full Text: DOI arXiv
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
Placidi, Luca; Barchiesi, Emilio; Misra, Anil A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results. (English) Zbl 1452.74019 Math. Mech. Complex Syst. 6, No. 2, 77-100 (2018). MSC: 74C05 74R99 PDFBibTeX XMLCite \textit{L. Placidi} et al., Math. Mech. Complex Syst. 6, No. 2, 77--100 (2018; Zbl 1452.74019) Full Text: DOI
Misra, Anil; Placidi, Luca; Scerrato, Daria A review of presentations and discussions of the workshop computational mechanics of generalized continua and applications to materials with microstructure that was held in Catania 29-31 October 2015. (English) Zbl 1391.74006 Math. Mech. Solids 22, No. 9, 1891-1904 (2017). MSC: 74-06 74-02 00B25 PDFBibTeX XMLCite \textit{A. Misra} et al., Math. Mech. Solids 22, No. 9, 1891--1904 (2017; Zbl 1391.74006) Full Text: DOI
Placidi, Luca; Andreaus, Ugo; Giorgio, Ivan Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model. (English) Zbl 1390.74018 J. Eng. Math. 103, 1-21 (2017). MSC: 74A30 74Q15 PDFBibTeX XMLCite \textit{L. Placidi} et al., J. Eng. Math. 103, 1--21 (2017; Zbl 1390.74018) Full Text: DOI
Turco, Emilio; Golaszewski, Maciej; Giorgio, Ivan; Placidi, Luca Can a Hencky-type model predict the mechanical behaviour of pantographic lattices? (English) Zbl 1382.74087 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, 285-311 (2017). MSC: 74K99 74C05 PDFBibTeX XMLCite \textit{E. Turco} et al., Adv. Struct. Mater. 69, 285--311 (2017; Zbl 1382.74087) 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
Boutin, Claude; Dell’isola, Francesco; Giorgio, Ivan; Placidi, Luca Linear pantographic sheets: asymptotic micro-macro models identification. (English) Zbl 1457.74171 Math. Mech. Complex Syst. 5, No. 2, 127-162 (2017). MSC: 74Qxx PDFBibTeX XMLCite \textit{C. Boutin} et al., Math. Mech. Complex Syst. 5, No. 2, 127--162 (2017; Zbl 1457.74171) Full Text: DOI
Rosi, Giuseppe; Placidi, Luca; dell’Isola, Francesco “Fast” and “slow” pressure waves electrically induced by nonlinear coupling in Biot-type porous medium saturated by a nematic liquid crystal. (English) Zbl 1365.76311 Z. Angew. Math. Phys. 68, No. 2, Paper No. 51, 14 p. (2017). MSC: 76S05 74F10 76A15 74F15 PDFBibTeX XMLCite \textit{G. Rosi} et al., Z. Angew. Math. Phys. 68, No. 2, Paper No. 51, 14 p. (2017; Zbl 1365.76311) Full Text: DOI HAL
Andreaus, Ugo; dell’Isola, Francesco; Giorgio, Ivan; Placidi, Luca; Lekszycki, Tomasz; Rizzi, Nicola Luigi Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity. (English) Zbl 1423.74089 Int. J. Eng. Sci. 108, 34-50 (2016). MSC: 74B05 74S05 PDFBibTeX XMLCite \textit{U. Andreaus} et al., Int. J. Eng. Sci. 108, 34--50 (2016; Zbl 1423.74089) Full Text: DOI HAL
Placidi, Luca; Barchiesi, Emilio; Turco, Emilio; Rizzi, Nicola Luigi A review on 2D models for the description of pantographic fabrics. (English) Zbl 1359.74019 Z. Angew. Math. Phys. 67, No. 5, Article ID 121, 20 p. (2016). MSC: 74A30 70H50 74Q05 PDFBibTeX XMLCite \textit{L. Placidi} et al., Z. Angew. Math. Phys. 67, No. 5, Article ID 121, 20 p. (2016; Zbl 1359.74019) 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
Placidi, Luca A variational approach for a nonlinear one-dimensional damage-elasto-plastic second-gradient continuum model. (English) Zbl 1348.74062 Contin. Mech. Thermodyn. 28, No. 1-2, 119-137 (2016). MSC: 74C05 74P10 PDFBibTeX XMLCite \textit{L. Placidi}, Contin. Mech. Thermodyn. 28, No. 1--2, 119--137 (2016; Zbl 1348.74062) Full Text: DOI
Placidi, Luca A variational approach for a nonlinear 1-dimensional second gradient continuum damage model. (English) Zbl 1341.74016 Contin. Mech. Thermodyn. 27, No. 4-5, 623-638 (2015). MSC: 74A45 74M25 74R99 PDFBibTeX XMLCite \textit{L. Placidi}, Contin. Mech. Thermodyn. 27, No. 4--5, 623--638 (2015; Zbl 1341.74016) Full Text: DOI
Madeo, A.; Neff, P.; Ghiba, I. D.; Placidi, L.; Rosi, G. Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps. (English) Zbl 1341.74085 Contin. Mech. Thermodyn. 27, No. 4-5, 551-570 (2015). MSC: 74J05 PDFBibTeX XMLCite \textit{A. Madeo} et al., Contin. Mech. Thermodyn. 27, No. 4--5, 551--570 (2015; Zbl 1341.74085) Full Text: DOI arXiv
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Placidi, Luca; Rosi, Giuseppe The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics. (English) Zbl 1338.74007 Math. Mech. Solids 20, No. 10, 1171-1197 (2015). MSC: 74A60 35Q74 PDFBibTeX XMLCite \textit{I.-D. Ghiba} et al., Math. Mech. Solids 20, No. 10, 1171--1197 (2015; Zbl 1338.74007) Full Text: DOI arXiv
dell’Isola, Francesco; Andreaus, Ugo; Placidi, Luca At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: an underestimated and still topical contribution of Gabrio Piola. (English) Zbl 1330.74006 Math. Mech. Solids 20, No. 8, 887-928 (2015). MSC: 74-03 01A55 PDFBibTeX XMLCite \textit{F. dell'Isola} et al., Math. Mech. Solids 20, No. 8, 887--928 (2015; Zbl 1330.74006) Full Text: DOI arXiv
Placidi, Luca; Andreaus, Ugo; Della Corte, Alessandro; Lekszycki, Tomasz Gedanken experiments for the determination of two-dimensional linear second gradient elasticity coefficients. (English) Zbl 1386.74018 Z. Angew. Math. Phys. 66, No. 6, 3699-3725 (2015). MSC: 74B05 74A20 74G65 74G05 PDFBibTeX XMLCite \textit{L. Placidi} et al., Z. Angew. Math. Phys. 66, No. 6, 3699--3725 (2015; Zbl 1386.74018) Full Text: DOI
Madeo, Angela; Neff, Patrizio; Ghiba, Ionel-Dumitrel; Placidi, Luca; Rosi, Giuseppe Band gaps in the relaxed linear micromorphic continuum. (English) Zbl 1326.74106 ZAMM, Z. Angew. Math. Mech. 95, No. 9, 880-887 (2015). MSC: 74M25 PDFBibTeX XMLCite \textit{A. Madeo} et al., ZAMM, Z. Angew. Math. Mech. 95, No. 9, 880--887 (2015; Zbl 1326.74106) Full Text: DOI arXiv
Cennamo, Claudia; Chiaia, Bernardino; De Biagi, Valerio; Placidi, Luca Monitoring and compartmentalized structures. (English) Zbl 1326.74008 ZAMM, Z. Angew. Math. Mech. 95, No. 6, 638-648 (2015). MSC: 74A25 PDFBibTeX XMLCite \textit{C. Cennamo} et al., ZAMM, Z. Angew. Math. Mech. 95, No. 6, 638--648 (2015; Zbl 1326.74008) Full Text: DOI
Rinaldi, Antonio; Placidi, Luca A microscale second gradient approximation of the damage parameter of quasi-brittle heterogeneous lattices. (English) Zbl 1301.74042 ZAMM, Z. Angew. Math. Mech. 94, No. 10, 862-877 (2014). MSC: 74R05 74G10 74M25 PDFBibTeX XMLCite \textit{A. Rinaldi} and \textit{L. Placidi}, ZAMM, Z. Angew. Math. Mech. 94, No. 10, 862--877 (2014; Zbl 1301.74042) Full Text: DOI
Placidi, Luca; Rosi, Giuseppe; Giorgio, Ivan; Madeo, Angela Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials. (English) Zbl 1305.74047 Math. Mech. Solids 19, No. 5, 555-578 (2014). Reviewer: Fiazud Din Zaman (Dhahran) MSC: 74J20 74E99 PDFBibTeX XMLCite \textit{L. Placidi} et al., Math. Mech. Solids 19, No. 5, 555--578 (2014; Zbl 1305.74047) Full Text: DOI
Andreaus, Ugo; Chiaia, Bernardino; Placidi, Luca Soft-impact dynamics of deformable bodies. (English) Zbl 1343.74037 Contin. Mech. Thermodyn. 25, No. 2-4, 375-398 (2013). MSC: 74M20 74K10 74H10 PDFBibTeX XMLCite \textit{U. Andreaus} et al., Contin. Mech. Thermodyn. 25, No. 2--4, 375--398 (2013; Zbl 1343.74037) Full Text: DOI
dell’Isola, Francesco; Madeo, Angela; Placidi, Luca Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua. (English) Zbl 1247.74031 ZAMM, Z. Angew. Math. Mech. 92, No. 1, 52-71 (2012). Reviewer: Fiazud Din Zaman (Dhahran) MSC: 74J05 74J20 74E99 PDFBibTeX XMLCite \textit{F. dell'Isola} et al., ZAMM, Z. Angew. Math. Mech. 92, No. 1, 52--71 (2012; Zbl 1247.74031) Full Text: DOI HAL