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Papers by giovanni garcea
ECSM-2009 Lisbon, 2009
SUMMARY. The Implicit Corotational Method (ICM) is a powerful and consolidated approach for recov... more SUMMARY. The Implicit Corotational Method (ICM) is a powerful and consolidated approach for recovering objective and suitable for FEM implementation nonlinear models fully reusing the corresponding linear ones [1, 2]. An appropriate stress/strain (Biot) representation for the description of the nonlinear elastic continuum, the use of corotational algebra for splitting the body motion into rigid and deformative parts and some assumptions on the reinterpretation of linear theory in the nonlinear context, constitute the basis of the ...
Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), 2016
The paper improved S-FEMs formulations with an enriched displacement field, making use of modifie... more The paper improved S-FEMs formulations with an enriched displacement field, making use of modified Allman's shape functions. This mixed interpolation is the natural context in performing lower bound strategy for shakedown, limit analysis and elastoplastic analysis. The model takes advantages from the simplicity and few addressed requirements for good performances in nonlinear analysis. The simple assumption made for the stress field regards the convenience of using self-equilibrated stress interpolations in Cartesian coordinates. In the proposed composite elements the stress is discontinuous on the element and across their sides and the mesh of the elements is coincident with the discretization of the geometry. This stress interpolation is able to address the discontinuities in the plastic strain and, in such a way, to define in their description a finer mesh with respect the basic grid.
Thin-Walled Structures, 2016
Computers & Structures, 2015
ABSTRACT
Finite Elements in Analysis and Design, 2016
International Journal for Numerical Methods in Engineering, 1996
This paper refers to the analysis of the postbuckling behaviour of thin-walled structures by mean... more This paper refers to the analysis of the postbuckling behaviour of thin-walled structures by means of an asymptotic approach based on a finite element implementation of Koiter's non-linear theory of instability.
Thin-Walled Structures, 2016
The analysis of slender structures, characterized by complex buckling and postbuckling phenomena ... more The analysis of slender structures, characterized by complex buckling and postbuckling phenomena and by a strong imperfection sensitivity, is heavily penalized by the lack of adequate computational tools. Standard incremental iterative approaches are computationally expensive and unaffordable, while FEM implementation of the Koiter method is a convenient alternative. The analysis is very fast, its computational burden is of the same order as a linearized buckling load evaluation and the simulation of different imperfections costs only a fraction of that needed to characterize the perfect structure. The main objective of the present work is to show that finite element implementations of the Koiter method can be both accurate and reliable and to highlight the aspects that require further investigation
![Research paper thumbnail of Erratum to "An iterative method for shakedown analysis" [Comput. Methods Appl. Mech. Engrg. 191 (2002) 5761-5792] (DOI:10.1016/S0045-7825(02)00496-6)](https://attachments.academia-assets.com/45189694/thumbnails/1.jpg)
](Computer Methods in Applied Mechanics and Engineering
Eq. (3.3) holds only if (r = 0) is internal to the elastic stresses envelope S e , a condition wh... more Eq. (3.3) holds only if (r = 0) is internal to the elastic stresses envelope S e , a condition which is not explicitly asserted in the paper. The third point in Lemma 3.4, Theorem 4.1 and the first point in Theorem 4.2, relies on this condition. A generalization of these results to cover also the case 0 6 2 S e is however simple and is given in the following.
Computers & Structures, 2015
ABSTRACT
Proceedings of the Twelfth International Conference on Computational Structures Technology, 2014
Proceedings of the Tenth International Conference on Computational Structures Technology, 2010
The asymptotic method, based on the implementation of the Koiter's approach to nonlinear instabil... more The asymptotic method, based on the implementation of the Koiter's approach to nonlinear instability within a finite element numerical context, represents a powerful tool for the analysis of geometrically nonlinear structures, which is able to provide accurate and reliable results through a fast computational scheme . Because it make use of a fourth-order expansion of the energy, it however needs both the structural modeling and its finite element discretization to be also, at least, fourth-order accurate. This requirement is not satisfied by current nonlinear modelings for beams and plates which are generally only second order accurate, so their use can noticeably reduce the results accuracy. Conversely accurate (objective) models are too complex to be implemented in a finite element context or simply not allowable.
Computers & Structures, 1998
... 585 Page 2. 586 R. Casciaro el al. Щи;. ... i\,: = ù) (25) 2 ,,,=0 Using the following choice... more ... 585 Page 2. 586 R. Casciaro el al. Щи;. ... i\,: = ù) (25) 2 ,,,=0 Using the following choice for the orthogonality con-dition: the additional imperfection factor /г, being ex-it-e 14 :Ф, ûvjW = 0, г = 1, (26) Page 4. 588 R. Casciaro el al. which ...
SOMMARIO. Il lavoro riguarda l'analisi incrementale di solidi costituiti da materiali con le... more SOMMARIO. Il lavoro riguarda l'analisi incrementale di solidi costituiti da materiali con legame elasto-plastico di tipo associato. La metodologia proposta tratta le variabili del problema tutte allo stesso livello e per risolvere le equazioni elasto-plastiche del generico ...
ECSM-2009 Lisbon, 2009
SUMMARY. The Implicit Corotational Method (ICM) is a powerful and consolidated approach for recov... more SUMMARY. The Implicit Corotational Method (ICM) is a powerful and consolidated approach for recovering objective and suitable for FEM implementation nonlinear models fully reusing the corresponding linear ones [1, 2]. An appropriate stress/strain (Biot) representation for the description of the nonlinear elastic continuum, the use of corotational algebra for splitting the body motion into rigid and deformative parts and some assumptions on the reinterpretation of linear theory in the nonlinear context, constitute the basis of the ...
Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016), 2016
The paper improved S-FEMs formulations with an enriched displacement field, making use of modifie... more The paper improved S-FEMs formulations with an enriched displacement field, making use of modified Allman's shape functions. This mixed interpolation is the natural context in performing lower bound strategy for shakedown, limit analysis and elastoplastic analysis. The model takes advantages from the simplicity and few addressed requirements for good performances in nonlinear analysis. The simple assumption made for the stress field regards the convenience of using self-equilibrated stress interpolations in Cartesian coordinates. In the proposed composite elements the stress is discontinuous on the element and across their sides and the mesh of the elements is coincident with the discretization of the geometry. This stress interpolation is able to address the discontinuities in the plastic strain and, in such a way, to define in their description a finer mesh with respect the basic grid.
Thin-Walled Structures, 2016
Computers & Structures, 2015
ABSTRACT
Finite Elements in Analysis and Design, 2016
International Journal for Numerical Methods in Engineering, 1996
This paper refers to the analysis of the postbuckling behaviour of thin-walled structures by mean... more This paper refers to the analysis of the postbuckling behaviour of thin-walled structures by means of an asymptotic approach based on a finite element implementation of Koiter's non-linear theory of instability.
Thin-Walled Structures, 2016
The analysis of slender structures, characterized by complex buckling and postbuckling phenomena ... more The analysis of slender structures, characterized by complex buckling and postbuckling phenomena and by a strong imperfection sensitivity, is heavily penalized by the lack of adequate computational tools. Standard incremental iterative approaches are computationally expensive and unaffordable, while FEM implementation of the Koiter method is a convenient alternative. The analysis is very fast, its computational burden is of the same order as a linearized buckling load evaluation and the simulation of different imperfections costs only a fraction of that needed to characterize the perfect structure. The main objective of the present work is to show that finite element implementations of the Koiter method can be both accurate and reliable and to highlight the aspects that require further investigation
Computer Methods in Applied Mechanics and Engineering
Eq. (3.3) holds only if (r = 0) is internal to the elastic stresses envelope S e , a condition wh... more Eq. (3.3) holds only if (r = 0) is internal to the elastic stresses envelope S e , a condition which is not explicitly asserted in the paper. The third point in Lemma 3.4, Theorem 4.1 and the first point in Theorem 4.2, relies on this condition. A generalization of these results to cover also the case 0 6 2 S e is however simple and is given in the following.
Computers & Structures, 2015
ABSTRACT
Proceedings of the Twelfth International Conference on Computational Structures Technology, 2014
Proceedings of the Tenth International Conference on Computational Structures Technology, 2010
The asymptotic method, based on the implementation of the Koiter's approach to nonlinear instabil... more The asymptotic method, based on the implementation of the Koiter's approach to nonlinear instability within a finite element numerical context, represents a powerful tool for the analysis of geometrically nonlinear structures, which is able to provide accurate and reliable results through a fast computational scheme . Because it make use of a fourth-order expansion of the energy, it however needs both the structural modeling and its finite element discretization to be also, at least, fourth-order accurate. This requirement is not satisfied by current nonlinear modelings for beams and plates which are generally only second order accurate, so their use can noticeably reduce the results accuracy. Conversely accurate (objective) models are too complex to be implemented in a finite element context or simply not allowable.
Computers & Structures, 1998
... 585 Page 2. 586 R. Casciaro el al. Щи;. ... i\,: = ù) (25) 2 ,,,=0 Using the following choice... more ... 585 Page 2. 586 R. Casciaro el al. Щи;. ... i\,: = ù) (25) 2 ,,,=0 Using the following choice for the orthogonality con-dition: the additional imperfection factor /г, being ex-it-e 14 :Ф, ûvjW = 0, г = 1, (26) Page 4. 588 R. Casciaro el al. which ...
SOMMARIO. Il lavoro riguarda l'analisi incrementale di solidi costituiti da materiali con le... more SOMMARIO. Il lavoro riguarda l'analisi incrementale di solidi costituiti da materiali con legame elasto-plastico di tipo associato. La metodologia proposta tratta le variabili del problema tutte allo stesso livello e per risolvere le equazioni elasto-plastiche del generico ...