Peridynamic modelling of reinforced concrete structures

Sau, Nicolás; J, Medina-Mendoza; Almada, Ana Cecilia Borbón

doi:10.1016/j.engfailanal.2019.05.004

Cited by 20 publications

(5 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If the maximum transverse stretch is smaller than a prescribed stretch, the link remains linear elastic, while if the stretch is greater, the compressive force remains constant until exceeds another prescribed limit, after which it plunges to zero. The plateau of this model is able to simulate dissipation of energy due to aggregate contact and friction [8].…”

Section: Peridynamic Finite Element Methodsmentioning

confidence: 99%

Peridynamic Finite Element Modelling of Quasibrittle Structures

Sau¹,

Borbón-Almada²,

A³

2021

14th WCCM-ECCOMAS Congress

View full text Add to dashboard Cite

In a number of applications, large size structures subjected to loads that cause highly non-linear behavior need to be analyzed. With the peridynamic theory, proposed by Stewart Silling in 2000 and 2007, elasticity and damage in quasibrittle structures such as plain and reinforced concrete structures can be modeled with the peridynamic theory. To model these structures, lattice models with brittle beam elements are used to model concrete. A shortcoming of lattice and particle models is that they are highly demanding of computational power. Molecular dynamics may be, in some cases an appropriate tool for analyzing microcracks in quasibrittle materials in compression, but molecular dynamics becomes infeasible at scales larger than a few million atoms. For example, in masonry structures, cracks form in the brick mortar joints, and concrete blocks can be assumed to have a uniform displacement field. This allows us to use the peridynamic finite element model, which is an improvement over discrete lattice models. This model assumes a continuous displacement field within each finite element, with displacement discontinuities allowed to develop between finite elements. The objective of this work is to model cracks in quasibrittle structures, with the peridynamic model. The peridynamic finite element model is shown to be much more computer time-and memoryefficient than the similar discrete particle-based models. Results show that this implementation appears to be more computationally efficient than particle or lattice models.

show abstract

Section: Peridynamic Finite Element Methodsmentioning

confidence: 99%

Peridynamic Finite Element Modelling of Quasibrittle Structures

Sau¹,

Borbón-Almada²,

A³

2021

14th WCCM-ECCOMAS Congress

View full text Add to dashboard Cite

show abstract

“…More recently, Sau et al [126] have used the micropolar formulation to address RC structures. Sau and coworkers evaluate two problems, a deep simply supported beam and a 4PBT.…”

Section: Concrete In Bond-based Pdmentioning

confidence: 99%

“…It has captured some of the behaviour in flexural failure, but there were some inconsistencies, for example, the crack propagation stopped at the transversal reinforcement, which does not happen in the actual experiment. Sau et al mention that a possible reason for this is the use of a 2D model [126].…”

Section: Concrete In Bond-based Pdmentioning

confidence: 99%

A Review on the Developments of Peridynamics for Reinforced Concrete Structures

Hattori

Hobbs

Orr

2021

Arch Computat Methods Eng

View full text Add to dashboard Cite

Concrete is the most widely used man made material in the world. Reinforced with steel, it forms a key enabler behind our rapidly urbanising built environment. Yet despite its ubiquity, the failure behaviour of the material in shear is still not well understood. Many different shear models have been proposed over the years, often validated against sets of physical tests, but none of these has yet been shown to be sufficiently general to account for the behaviour of all possible types and geometries of reinforced concrete structures. A key barrier to a general model is that concrete must crack in tension, and in shear such cracks form rapidly to create brittle failure. Peridynamics (PD) is a non-local theory where the continuum mechanics equilibrium equation is reformulated in an integral form, thereby permitting discontinuities to arise naturally from the formulation. On the one hand, this offers the potential to provide a general concrete model. On the other hand, PD models for concrete structures have not focussed on applications with reinforcement. Moreover, a robust model validation that assesses the strengths and weakness of a given model is missing. The objectives of this paper are twofold: (1) to evaluate the benchmark tests involving shear failure for RC structures; and (2) to review the most recent PD theory and its application for reinforced concrete (RC) structures. We investigate these models in detail and propose benchmark tests that a PD model should be able to simulate accurately.

show abstract

“…These types of equations are well-suited for the task of handling issues involving discontinuities [ 8 , 9 ]. Because PD provides so many advantages in the analysis of material failure, numerical simulations based on the PD theory in the study of isotropic solids [ 10 , 11 , 12 ] and composites [ 13 , 14 , 15 , 16 ] are gaining popularity. On the basis of this theory, scholars have conducted research into the corrosion damage of metal materials [ 12 ] and the damage of composite laminates under quasi-static [ 13 , 14 , 15 ] and fatigue loading [ 16 ].…”

Section: Introductionmentioning

confidence: 99%

An Ordinary State-Based Peridynamic Model of Unidirectional Carbon Fiber Reinforced Polymer Material in the Cutting Process

Tie

et al. 2022

Polymers

View full text Add to dashboard Cite

Due to the complexity of the composite structure, analyzing the material failure process of carbon fiber reinforced polymers (CFRP) is fairly difficult, particularly for the machining process. Peridynamic theory, a new branch of solid mechanics, is a useful tool for dealing with discontinuities. This study presents an ordinary state-based peridynamic (OSB-PD) model for unidirectional CFRP material in the cutting process. In this model, angle tolerance is used to overcome the fiber angle limitation in a classical OSB-PD laminate method, and the short-range force approach is utilized to simulate the contact of the cutting tool and workpiece. The effectiveness of the supplied models is validated by tension and cutting tests. Finally, it can be indicated that the OSB-PD model is capable of predicting machined surface damage and cutting force, based on the comparison of simulation and experimental data.

show abstract

Peridynamic modelling of reinforced concrete structures

Cited by 20 publications

References 3 publications

Peridynamic Finite Element Modelling of Quasibrittle Structures

Peridynamic Finite Element Modelling of Quasibrittle Structures

A Review on the Developments of Peridynamics for Reinforced Concrete Structures

An Ordinary State-Based Peridynamic Model of Unidirectional Carbon Fiber Reinforced Polymer Material in the Cutting Process

Contact Info

Product

Resources

About