ON THE UNIT CELL BOUNDARY VALUE PROBLEM WITH MESHLESS FORMULATION FOR MASONRY STRUCTURES

Risultato della ricerca: Conference contribution

Abstract

In a generic multi-scale computational homogenization (CH) procedure, the crucial point is the definition and the solution of the Unit Cell (UC) Boundary Value Problem (BVP). The main aspects to be chosen for the formulation of the UC BVP are: (i) geometry; (ii) bound- ary conditions (BCs); (iii) material models; (iv) numerical approximation techniques. All these components play a key-role in the efficiency of the multi-scale procedure. In the present study, the UC BVP is formulated for running bond masonry according to a dis- placement based variational formulation, where the material of the blocks is considered indefi- nitely elastic and the mortar joints are simulated by zero-thickness elasto-plastic interfaces. The choice of adopting an elasto-plastic response of mortar represents a good compromise between ease of applicability and effective representation of the decohesion process occurring at the joint level. Linear BCs are used to apply the macroscopic strain tensor to the UC. The numeri- cal discretization is original with respect to the more common FE mesoscopic discretization, it is in fact formulated in the framework of meshless methods. It will be showed that the meshless discretization allows to obtain a considerable computational gain with respect to a standard FE discretization. Numerical simulations focus on the FEM-Meshless comparison for the pure modes of failure.
Lingua originaleEnglish
Titolo della pubblicazione ospiteAIMETA 2017 - Proceedings of the XXIII Conference of the Italian Association of Theoretical and Applied Mechanics
Pagine1337-1346
Numero di pagine10
Stato di pubblicazionePublished - 2017

Fingerprint

Boundary value problems
Mortar
Boundary conditions
Plastics
Tensors
Finite element method
Geometry
Computer simulation

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Mechanics of Materials

Cita questo

La Malfa Ribolla, E., Giambanco, G., & Spada, A. (2017). ON THE UNIT CELL BOUNDARY VALUE PROBLEM WITH MESHLESS FORMULATION FOR MASONRY STRUCTURES. In AIMETA 2017 - Proceedings of the XXIII Conference of the Italian Association of Theoretical and Applied Mechanics (pagg. 1337-1346)

ON THE UNIT CELL BOUNDARY VALUE PROBLEM WITH MESHLESS FORMULATION FOR MASONRY STRUCTURES. / La Malfa Ribolla, Emma; Giambanco, Giuseppe; Spada, Antonino.

AIMETA 2017 - Proceedings of the XXIII Conference of the Italian Association of Theoretical and Applied Mechanics. 2017. pag. 1337-1346.

Risultato della ricerca: Conference contribution

La Malfa Ribolla, E, Giambanco, G & Spada, A 2017, ON THE UNIT CELL BOUNDARY VALUE PROBLEM WITH MESHLESS FORMULATION FOR MASONRY STRUCTURES. in AIMETA 2017 - Proceedings of the XXIII Conference of the Italian Association of Theoretical and Applied Mechanics. pagg. 1337-1346.
La Malfa Ribolla E, Giambanco G, Spada A. ON THE UNIT CELL BOUNDARY VALUE PROBLEM WITH MESHLESS FORMULATION FOR MASONRY STRUCTURES. In AIMETA 2017 - Proceedings of the XXIII Conference of the Italian Association of Theoretical and Applied Mechanics. 2017. pag. 1337-1346
La Malfa Ribolla, Emma ; Giambanco, Giuseppe ; Spada, Antonino. / ON THE UNIT CELL BOUNDARY VALUE PROBLEM WITH MESHLESS FORMULATION FOR MASONRY STRUCTURES. AIMETA 2017 - Proceedings of the XXIII Conference of the Italian Association of Theoretical and Applied Mechanics. 2017. pagg. 1337-1346
@inproceedings{514b51aa09e94bc4a6ff2491bc9b1a2f,
title = "ON THE UNIT CELL BOUNDARY VALUE PROBLEM WITH MESHLESS FORMULATION FOR MASONRY STRUCTURES",
abstract = "In a generic multi-scale computational homogenization (CH) procedure, the crucial point is the definition and the solution of the Unit Cell (UC) Boundary Value Problem (BVP). The main aspects to be chosen for the formulation of the UC BVP are: (i) geometry; (ii) bound- ary conditions (BCs); (iii) material models; (iv) numerical approximation techniques. All these components play a key-role in the efficiency of the multi-scale procedure. In the present study, the UC BVP is formulated for running bond masonry according to a dis- placement based variational formulation, where the material of the blocks is considered indefi- nitely elastic and the mortar joints are simulated by zero-thickness elasto-plastic interfaces. The choice of adopting an elasto-plastic response of mortar represents a good compromise between ease of applicability and effective representation of the decohesion process occurring at the joint level. Linear BCs are used to apply the macroscopic strain tensor to the UC. The numeri- cal discretization is original with respect to the more common FE mesoscopic discretization, it is in fact formulated in the framework of meshless methods. It will be showed that the meshless discretization allows to obtain a considerable computational gain with respect to a standard FE discretization. Numerical simulations focus on the FEM-Meshless comparison for the pure modes of failure.",
author = "{La Malfa Ribolla}, Emma and Giuseppe Giambanco and Antonino Spada",
year = "2017",
language = "English",
isbn = "978-889-42484-7-0",
pages = "1337--1346",
booktitle = "AIMETA 2017 - Proceedings of the XXIII Conference of the Italian Association of Theoretical and Applied Mechanics",

}

TY - GEN

T1 - ON THE UNIT CELL BOUNDARY VALUE PROBLEM WITH MESHLESS FORMULATION FOR MASONRY STRUCTURES

AU - La Malfa Ribolla, Emma

AU - Giambanco, Giuseppe

AU - Spada, Antonino

PY - 2017

Y1 - 2017

N2 - In a generic multi-scale computational homogenization (CH) procedure, the crucial point is the definition and the solution of the Unit Cell (UC) Boundary Value Problem (BVP). The main aspects to be chosen for the formulation of the UC BVP are: (i) geometry; (ii) bound- ary conditions (BCs); (iii) material models; (iv) numerical approximation techniques. All these components play a key-role in the efficiency of the multi-scale procedure. In the present study, the UC BVP is formulated for running bond masonry according to a dis- placement based variational formulation, where the material of the blocks is considered indefi- nitely elastic and the mortar joints are simulated by zero-thickness elasto-plastic interfaces. The choice of adopting an elasto-plastic response of mortar represents a good compromise between ease of applicability and effective representation of the decohesion process occurring at the joint level. Linear BCs are used to apply the macroscopic strain tensor to the UC. The numeri- cal discretization is original with respect to the more common FE mesoscopic discretization, it is in fact formulated in the framework of meshless methods. It will be showed that the meshless discretization allows to obtain a considerable computational gain with respect to a standard FE discretization. Numerical simulations focus on the FEM-Meshless comparison for the pure modes of failure.

AB - In a generic multi-scale computational homogenization (CH) procedure, the crucial point is the definition and the solution of the Unit Cell (UC) Boundary Value Problem (BVP). The main aspects to be chosen for the formulation of the UC BVP are: (i) geometry; (ii) bound- ary conditions (BCs); (iii) material models; (iv) numerical approximation techniques. All these components play a key-role in the efficiency of the multi-scale procedure. In the present study, the UC BVP is formulated for running bond masonry according to a dis- placement based variational formulation, where the material of the blocks is considered indefi- nitely elastic and the mortar joints are simulated by zero-thickness elasto-plastic interfaces. The choice of adopting an elasto-plastic response of mortar represents a good compromise between ease of applicability and effective representation of the decohesion process occurring at the joint level. Linear BCs are used to apply the macroscopic strain tensor to the UC. The numeri- cal discretization is original with respect to the more common FE mesoscopic discretization, it is in fact formulated in the framework of meshless methods. It will be showed that the meshless discretization allows to obtain a considerable computational gain with respect to a standard FE discretization. Numerical simulations focus on the FEM-Meshless comparison for the pure modes of failure.

UR - http://hdl.handle.net/10447/259458

M3 - Conference contribution

SN - 978-889-42484-7-0

SP - 1337

EP - 1346

BT - AIMETA 2017 - Proceedings of the XXIII Conference of the Italian Association of Theoretical and Applied Mechanics

ER -