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. Zbl 1330.74006
dell’Isola, Francesco; Andreaus, Ugo; Placidi, Luca |
|
2015
|
Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model. Zbl 1390.74018
Placidi, Luca; Andreaus, Ugo; Giorgio, Ivan |
|
2017
|
Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua. Zbl 1247.74031
dell’Isola, Francesco; Madeo, Angela; Placidi, Luca |
|
2012
|
Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials. Zbl 1305.74047
Placidi, Luca; Rosi, Giuseppe; Giorgio, Ivan; Madeo, Angela |
|
2014
|
A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results. Zbl 1452.74019
Placidi, Luca; Barchiesi, Emilio; Misra, Anil |
|
2018
|
Linear pantographic sheets: asymptotic micro-macro models identification. Zbl 1457.74171
Boutin, Claude; Dell’isola, Francesco; Giorgio, Ivan; Placidi, Luca |
|
2017
|
Gedanken experiments for the determination of two-dimensional linear second gradient elasticity coefficients. Zbl 1386.74018
Placidi, Luca; Andreaus, Ugo; Della Corte, Alessandro; Lekszycki, Tomasz |
|
2015
|
Mechanical metamaterials: a state of the art. Zbl 1425.74036
Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca |
|
2019
|
Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps. Zbl 1341.74085
Madeo, A.; Neff, P.; Ghiba, I. D.; Placidi, L.; Rosi, G. |
|
2015
|
A variational approach for a nonlinear one-dimensional damage-elasto-plastic second-gradient continuum model. Zbl 1348.74062
Placidi, Luca |
|
2016
|
A variational approach for a nonlinear 1-dimensional second gradient continuum damage model. Zbl 1341.74016
Placidi, Luca |
|
2015
|
Variational formulation of pre-stressed solid-fluid mixture theory, with an application to wave phenomena. Zbl 1146.74012
Placidi, Luca; Dell’Isola, Francesco; Ianiro, Nicoletta; Sciarra, Giulio |
|
2008
|
Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity. Zbl 1423.74089
Andreaus, Ugo; dell’Isola, Francesco; Giorgio, Ivan; Placidi, Luca; Lekszycki, Tomasz; Rizzi, Nicola Luigi |
|
2016
|
Energy approach to brittle fracture in strain-gradient modelling. Zbl 1402.74094
Placidi, Luca; Barchiesi, Emilio |
|
2018
|
Two-dimensional strain gradient damage modeling: a variational approach. Zbl 1393.74168
Placidi, Luca; Misra, Anil; Barchiesi, Emilio |
|
2018
|
The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics. Zbl 1338.74007
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Placidi, Luca; Rosi, Giuseppe |
|
2015
|
A review on 2D models for the description of pantographic fabrics. Zbl 1359.74019
Placidi, Luca; Barchiesi, Emilio; Turco, Emilio; Rizzi, Nicola Luigi |
|
2016
|
On the validity range of strain-gradient elasticity: a mixed static-dynamic identification procedure. Zbl 1406.74092
Rosi, Giuseppe; Placidi, Luca; Auffray, Nicolas |
|
2018
|
Soft-impact dynamics of deformable bodies. Zbl 1343.74037
Andreaus, Ugo; Chiaia, Bernardino; Placidi, Luca |
|
2013
|
Band gaps in the relaxed linear micromorphic continuum. Zbl 1326.74106
Madeo, Angela; Neff, Patrizio; Ghiba, Ionel-Dumitrel; Placidi, Luca; Rosi, Giuseppe |
|
2015
|
Semi-inverse method à la Saint-Venant for two-dimensional linear isotropic homogeneous second-gradient elasticity. Zbl 1371.74105
Placidi, Luca; El Dhaba, Amr Ramadan |
|
2017
|
A microscale second gradient approximation of the damage parameter of quasi-brittle heterogeneous lattices. Zbl 1301.74042
Rinaldi, Antonio; Placidi, Luca |
|
2014
|
Pantographic beam: a complete second gradient 1D-continuum in plane. Zbl 1425.74387
Barchiesi, Emilio; Eugster, Simon R.; Placidi, Luca; dell’Isola, Francesco |
|
2019
|
A second gradient formulation for a 2D fabric sheet with inextensible fibres. Zbl 1432.74034
Placidi, Luca; Greco, Leopoldo; Bucci, Sara; Turco, Emilio; Rizzi, Nicola Luigi |
|
2016
|
Variational principles are a powerful tool also for formulating field theories. Zbl 1247.70035
dell’Isola, Francesco; Placidi, Luca |
|
2011
|
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Zbl 07357426
Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca |
|
2021
|
Continuum-mechanical, anisotropic flow model for polar ice masses, based on an anisotropic flow enhancement factor. Zbl 1273.74191
Placidi, Luca; Greve, Ralf; Seddik, Hakime; Faria, Sérgio H. |
|
2010
|
First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model. Zbl 1371.82126
Madeo, Angela; Barbagallo, Gabriele; d’Agostino, Marco Valerio; Placidi, Luca; Neff, Patrizio |
|
2016
|
Thermodynamics of polycrystalline materials treated by the theory of mixtures with continuous diversity. Zbl 1113.74011
Placidi, Luca; Hutter, Kolumban |
|
2006
|
Micromechanics-based elasto-plastic-damage energy formulation for strain gradient solids with granular microstructure. Zbl 1521.74175
Placidi, Luca; Barchiesi, Emilio; Misra, Anil; Timofeev, Dmitry |
|
2021
|
Euromech 563 Cisterna di Latina 17-21 March 2014. Generalized continua and their applications to the design of composites and metamaterials: A review of presentations and discussions. Zbl 1370.74007
Placidi, Luca; Giorgio, Ivan; Della Corte, Alessandro; Scerrato, Daria |
|
2017
|
Identification of a geometrically nonlinear micromorphic continuum via granular micromechanics. Zbl 1470.74008
Misra, Anil; Placidi, Luca; dell’Isola, Francesco; Barchiesi, Emilio |
|
2021
|
Numerical simulation of the soft contact dynamics of an impacting bilinear oscillator. Zbl 1222.70020
Andreaus, Ugo; Placidi, Luca; Rega, Giuseppe |
|
2010
|
An inverse method to get further analytical solutions for a class of metamaterials aimed to validate numerical integrations. Zbl 1387.74022
Placidi, Luca; Barchiesi, Emilio; Battista, Antonio |
|
2017
|
The complete works of Gabrio Piola: Volume II. Commented English translation of the original Italian works. Zbl 1402.01035
|
|
2019
|
A novel phase-field approach to brittle damage mechanics of gradient metamaterials combining action formalism and history variable. Zbl 07813150
Abali, Bilen Emek; Klunker, Andre; Barchiesi, Emilio; Placidi, Luca |
|
2021
|
An anisotropic flow law for incompressible polycrystalline materials. Zbl 1091.74010
Placidi, Luca; Hutter, Kolumban |
|
2006
|
Computation of brittle fracture propagation in strain gradient materials by the FEniCS library. Zbl 07357405
Barchiesi, E.; Yang, H.; Tran, Ca; Placidi, L.; Müller, W. H. |
|
2021
|
Granular micromechanics-based identification of isotropic strain gradient parameters for elastic geometrically nonlinear deformations. Zbl 07813202
Barchiesi, Emilio; Misra, Anil; Placidi, Luca; Turco, Emilio |
|
2021
|
On a hemi-variational formulation for a 2D elasto-plastic-damage strain gradient solid with granular microstructure. Zbl 1536.74236
Placidi, Luca; Barchiesi, Emilio; dell’Isola, Francesco; Maksimov, Valerii; Misra, Anil; Rezaei, Nasrin; Scrofani, Angelo; Timofeev, Dmitry |
|
2023
|
On the dependence of standard and gradient elastic material constants on a field of defects. Zbl 1446.74090
Solyaev, Yury; Lurie, Sergey; Barchiesi, Emilio; Placidi, Luca |
|
2020
|
Identification of two-dimensional pantographic structures with a linear D4 orthotropic second gradient elastic model accounting for external bulk double forces. Zbl 1387.74012
Placidi, Luca; Barchiesi, Emilio; Della Corte, Alessandro |
|
2017
|
Can a Hencky-type model predict the mechanical behaviour of pantographic lattices? Zbl 1382.74087
Turco, Emilio; Golaszewski, Maciej; Giorgio, Ivan; Placidi, Luca |
|
2017
|
“Fast” and “slow” pressure waves electrically induced by nonlinear coupling in Biot-type porous medium saturated by a nematic liquid crystal. Zbl 1365.76311
Rosi, Giuseppe; Placidi, Luca; dell’Isola, Francesco |
|
2017
|
Balance equations for polycrystalline materials with the inclusion of orientation and grain-size distributions. Zbl 1088.74017
Placidi, Luca; Hutter, Kolumban |
|
2005
|
A critical review of the mechanics of polycrystalline polar ice. Zbl 1113.86001
Placidi, Luca; Hutter, Kolumban; Faria, Sérgio H. |
|
2006
|
Analytical solutions of 2-dimensional second gradient linear elasticity for continua with cubic-\(\mathrm{D}_4\) microstructure. Zbl 1425.74062
Placidi, Luca; Rosi, Giuseppe; Barchiesi, Emilio |
|
2019
|
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. Zbl 1391.74006
Misra, Anil; Placidi, Luca; Scerrato, Daria |
|
2017
|
Monitoring and compartmentalized structures. Zbl 1326.74008
Cennamo, Claudia; Chiaia, Bernardino; De Biagi, Valerio; Placidi, Luca |
|
2015
|
Deformation of an elastic magnetizable square rod due to a uniform electric current inside the rod and an external transverse magnetic field. Zbl 1333.74033
El Dhaba, A. R.; Ghaleb, A. F.; Placidi, L. |
|
2016
|
Fluid diffusion related aging effect in a concrete dam modeled as a Timoshenko beam. Zbl 1541.74073
Scrofani, Angelo; Barchiesi, Emilio; Chiaia, Bernardino; Misra, Anil; Placidi, Luca |
|
2023
|
Theoretical analyses, computations, and experiments of multiscale materials. A tribute to Francesco dell’Isola. Zbl 1487.74006
|
|
2022
|
A damaged non-homogeneous Timoshenko beam model for a dam subjected to aging effects. Zbl 07357423
Chiaia, Bernardino; De Biagi, Valerio; Placidi, Luca |
|
2021
|
On a hemi-variational formulation for a 2D elasto-plastic-damage strain gradient solid with granular microstructure. Zbl 1536.74236
Placidi, Luca; Barchiesi, Emilio; dell’Isola, Francesco; Maksimov, Valerii; Misra, Anil; Rezaei, Nasrin; Scrofani, Angelo; Timofeev, Dmitry |
|
2023
|
Fluid diffusion related aging effect in a concrete dam modeled as a Timoshenko beam. Zbl 1541.74073
Scrofani, Angelo; Barchiesi, Emilio; Chiaia, Bernardino; Misra, Anil; Placidi, Luca |
|
2023
|
Theoretical analyses, computations, and experiments of multiscale materials. A tribute to Francesco dell’Isola. Zbl 1487.74006
|
|
2022
|
Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution. Zbl 07357426
Timofeev, Dmitry; Barchiesi, Emilio; Misra, Anil; Placidi, Luca |
|
2021
|
Micromechanics-based elasto-plastic-damage energy formulation for strain gradient solids with granular microstructure. Zbl 1521.74175
Placidi, Luca; Barchiesi, Emilio; Misra, Anil; Timofeev, Dmitry |
|
2021
|
Identification of a geometrically nonlinear micromorphic continuum via granular micromechanics. Zbl 1470.74008
Misra, Anil; Placidi, Luca; dell’Isola, Francesco; Barchiesi, Emilio |
|
2021
|
A novel phase-field approach to brittle damage mechanics of gradient metamaterials combining action formalism and history variable. Zbl 07813150
Abali, Bilen Emek; Klunker, Andre; Barchiesi, Emilio; Placidi, Luca |
|
2021
|
Computation of brittle fracture propagation in strain gradient materials by the FEniCS library. Zbl 07357405
Barchiesi, E.; Yang, H.; Tran, Ca; Placidi, L.; Müller, W. H. |
|
2021
|
Granular micromechanics-based identification of isotropic strain gradient parameters for elastic geometrically nonlinear deformations. Zbl 07813202
Barchiesi, Emilio; Misra, Anil; Placidi, Luca; Turco, Emilio |
|
2021
|
A damaged non-homogeneous Timoshenko beam model for a dam subjected to aging effects. Zbl 07357423
Chiaia, Bernardino; De Biagi, Valerio; Placidi, Luca |
|
2021
|
On the dependence of standard and gradient elastic material constants on a field of defects. Zbl 1446.74090
Solyaev, Yury; Lurie, Sergey; Barchiesi, Emilio; Placidi, Luca |
|
2020
|
Mechanical metamaterials: a state of the art. Zbl 1425.74036
Barchiesi, Emilio; Spagnuolo, Mario; Placidi, Luca |
|
2019
|
Pantographic beam: a complete second gradient 1D-continuum in plane. Zbl 1425.74387
Barchiesi, Emilio; Eugster, Simon R.; Placidi, Luca; dell’Isola, Francesco |
|
2019
|
The complete works of Gabrio Piola: Volume II. Commented English translation of the original Italian works. Zbl 1402.01035
|
|
2019
|
Analytical solutions of 2-dimensional second gradient linear elasticity for continua with cubic-\(\mathrm{D}_4\) microstructure. Zbl 1425.74062
Placidi, Luca; Rosi, Giuseppe; Barchiesi, Emilio |
|
2019
|
A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results. Zbl 1452.74019
Placidi, Luca; Barchiesi, Emilio; Misra, Anil |
|
2018
|
Energy approach to brittle fracture in strain-gradient modelling. Zbl 1402.74094
Placidi, Luca; Barchiesi, Emilio |
|
2018
|
Two-dimensional strain gradient damage modeling: a variational approach. Zbl 1393.74168
Placidi, Luca; Misra, Anil; Barchiesi, Emilio |
|
2018
|
On the validity range of strain-gradient elasticity: a mixed static-dynamic identification procedure. Zbl 1406.74092
Rosi, Giuseppe; Placidi, Luca; Auffray, Nicolas |
|
2018
|
Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model. Zbl 1390.74018
Placidi, Luca; Andreaus, Ugo; Giorgio, Ivan |
|
2017
|
Linear pantographic sheets: asymptotic micro-macro models identification. Zbl 1457.74171
Boutin, Claude; Dell’isola, Francesco; Giorgio, Ivan; Placidi, Luca |
|
2017
|
Semi-inverse method à la Saint-Venant for two-dimensional linear isotropic homogeneous second-gradient elasticity. Zbl 1371.74105
Placidi, Luca; El Dhaba, Amr Ramadan |
|
2017
|
Euromech 563 Cisterna di Latina 17-21 March 2014. Generalized continua and their applications to the design of composites and metamaterials: A review of presentations and discussions. Zbl 1370.74007
Placidi, Luca; Giorgio, Ivan; Della Corte, Alessandro; Scerrato, Daria |
|
2017
|
An inverse method to get further analytical solutions for a class of metamaterials aimed to validate numerical integrations. Zbl 1387.74022
Placidi, Luca; Barchiesi, Emilio; Battista, Antonio |
|
2017
|
Identification of two-dimensional pantographic structures with a linear D4 orthotropic second gradient elastic model accounting for external bulk double forces. Zbl 1387.74012
Placidi, Luca; Barchiesi, Emilio; Della Corte, Alessandro |
|
2017
|
Can a Hencky-type model predict the mechanical behaviour of pantographic lattices? Zbl 1382.74087
Turco, Emilio; Golaszewski, Maciej; Giorgio, Ivan; Placidi, Luca |
|
2017
|
“Fast” and “slow” pressure waves electrically induced by nonlinear coupling in Biot-type porous medium saturated by a nematic liquid crystal. Zbl 1365.76311
Rosi, Giuseppe; Placidi, Luca; dell’Isola, Francesco |
|
2017
|
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. Zbl 1391.74006
Misra, Anil; Placidi, Luca; Scerrato, Daria |
|
2017
|
A variational approach for a nonlinear one-dimensional damage-elasto-plastic second-gradient continuum model. Zbl 1348.74062
Placidi, Luca |
|
2016
|
Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity. Zbl 1423.74089
Andreaus, Ugo; dell’Isola, Francesco; Giorgio, Ivan; Placidi, Luca; Lekszycki, Tomasz; Rizzi, Nicola Luigi |
|
2016
|
A review on 2D models for the description of pantographic fabrics. Zbl 1359.74019
Placidi, Luca; Barchiesi, Emilio; Turco, Emilio; Rizzi, Nicola Luigi |
|
2016
|
A second gradient formulation for a 2D fabric sheet with inextensible fibres. Zbl 1432.74034
Placidi, Luca; Greco, Leopoldo; Bucci, Sara; Turco, Emilio; Rizzi, Nicola Luigi |
|
2016
|
First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model. Zbl 1371.82126
Madeo, Angela; Barbagallo, Gabriele; d’Agostino, Marco Valerio; Placidi, Luca; Neff, Patrizio |
|
2016
|
Deformation of an elastic magnetizable square rod due to a uniform electric current inside the rod and an external transverse magnetic field. Zbl 1333.74033
El Dhaba, A. R.; Ghaleb, A. F.; Placidi, L. |
|
2016
|
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. Zbl 1330.74006
dell’Isola, Francesco; Andreaus, Ugo; Placidi, Luca |
|
2015
|
Gedanken experiments for the determination of two-dimensional linear second gradient elasticity coefficients. Zbl 1386.74018
Placidi, Luca; Andreaus, Ugo; Della Corte, Alessandro; Lekszycki, Tomasz |
|
2015
|
Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps. Zbl 1341.74085
Madeo, A.; Neff, P.; Ghiba, I. D.; Placidi, L.; Rosi, G. |
|
2015
|
A variational approach for a nonlinear 1-dimensional second gradient continuum damage model. Zbl 1341.74016
Placidi, Luca |
|
2015
|
The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics. Zbl 1338.74007
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Placidi, Luca; Rosi, Giuseppe |
|
2015
|
Band gaps in the relaxed linear micromorphic continuum. Zbl 1326.74106
Madeo, Angela; Neff, Patrizio; Ghiba, Ionel-Dumitrel; Placidi, Luca; Rosi, Giuseppe |
|
2015
|
Monitoring and compartmentalized structures. Zbl 1326.74008
Cennamo, Claudia; Chiaia, Bernardino; De Biagi, Valerio; Placidi, Luca |
|
2015
|
Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials. Zbl 1305.74047
Placidi, Luca; Rosi, Giuseppe; Giorgio, Ivan; Madeo, Angela |
|
2014
|
A microscale second gradient approximation of the damage parameter of quasi-brittle heterogeneous lattices. Zbl 1301.74042
Rinaldi, Antonio; Placidi, Luca |
|
2014
|
Soft-impact dynamics of deformable bodies. Zbl 1343.74037
Andreaus, Ugo; Chiaia, Bernardino; Placidi, Luca |
|
2013
|
Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua. Zbl 1247.74031
dell’Isola, Francesco; Madeo, Angela; Placidi, Luca |
|
2012
|
Variational principles are a powerful tool also for formulating field theories. Zbl 1247.70035
dell’Isola, Francesco; Placidi, Luca |
|
2011
|
Continuum-mechanical, anisotropic flow model for polar ice masses, based on an anisotropic flow enhancement factor. Zbl 1273.74191
Placidi, Luca; Greve, Ralf; Seddik, Hakime; Faria, Sérgio H. |
|
2010
|
Numerical simulation of the soft contact dynamics of an impacting bilinear oscillator. Zbl 1222.70020
Andreaus, Ugo; Placidi, Luca; Rega, Giuseppe |
|
2010
|
Variational formulation of pre-stressed solid-fluid mixture theory, with an application to wave phenomena. Zbl 1146.74012
Placidi, Luca; Dell’Isola, Francesco; Ianiro, Nicoletta; Sciarra, Giulio |
|
2008
|
Thermodynamics of polycrystalline materials treated by the theory of mixtures with continuous diversity. Zbl 1113.74011
Placidi, Luca; Hutter, Kolumban |
|
2006
|
An anisotropic flow law for incompressible polycrystalline materials. Zbl 1091.74010
Placidi, Luca; Hutter, Kolumban |
|
2006
|
A critical review of the mechanics of polycrystalline polar ice. Zbl 1113.86001
Placidi, Luca; Hutter, Kolumban; Faria, Sérgio H. |
|
2006
|
Balance equations for polycrystalline materials with the inclusion of orientation and grain-size distributions. Zbl 1088.74017
Placidi, Luca; Hutter, Kolumban |
|
2005
|