Modified generalized beam lattice model associated with fracture of reinforced fiber/particle composites

Liu, J.X.; Zhao, Zhiye; Deng, Shouchun; Liang, Ning

doi:10.1016/j.tafmec.2008.07.006

Cited by 15 publications

(9 citation statements)

References 16 publications

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“…Internal force evolutions in E2 and E3 in E1's rupturing process predicted by the FR method. (Karihaloo et al, 2003;Liu et al, 2007Liu et al, , 2008b. The lattice material properties are listed in Table 1.…”

Section: Numerical Example and Analysismentioning

confidence: 99%

On the Load–Unload (L–U) and Force–Release (F–R) Algorithms for Simulating Brittle Fracture Processes via Lattice Models

Liu

Sayed

2011

International Journal of Damage Mechanics

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General summaries on the loadunload and forcerelease methods indicate that the two methods are efficient for different-charactered quasi-static failures; therefore, it is important to choose the right one for different applications. Then we take, as an example, the case where the release of the ruptured element's internal force is infinitely slower than the relaxation of the lattice system and analyze why the forcerelease method works better than the loadunload method in this particular case. Different trial deformation fields are used by them to track the next equilibrium state. Forcerelease method ensures that the deformation throughout the whole failure process coincides exactly with the controlled-displacement boundary conditions and we utilize the 'left modulus' concept to prove that this method satisfies the energetic evolution in the forcedisplacement diagram; both of which are not satisfied by the loadunload method. To illustrate that the forcerelease method is not just another form of the loadunload method, a tensile test on a specifically designed system is analyzed to further compare the above two methods, showing that their predicted sequences of elemental failures can be different. In closing, we simulate the uniaxial tensile test on a beam lattice system by the loadunload and forcerelease methods and exploit the details of the resulting fracture processes.

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Section: Numerical Example and Analysismentioning

confidence: 99%

On the Load–Unload (L–U) and Force–Release (F–R) Algorithms for Simulating Brittle Fracture Processes via Lattice Models

Liu

Sayed

2011

International Journal of Damage Mechanics

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“…In the 1990s, Schlangen and van Mier started to adapt and apply this model to simulate the fracture processes in concrete [ 3 ]. Plenty of efforts were made to develop the lattice fracture model in a variety of different settings: regular/irregular network, triangular/quadrangular mesh, truss/beam element, the method to implement heterogeneity (random distribution of local properties/microstructure mapping), and whether to introduce the softening at the element level [ 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 ].…”

Section: Introductionmentioning

confidence: 99%

Modeling Framework for Fracture in Multiscale Cement-Based Material Structures

Qian

Schlangen

2017

Materials

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Multiscale modeling for cement-based materials, such as concrete, is a relatively young subject, but there are already a number of different approaches to study different aspects of these classical materials. In this paper, the parameter-passing multiscale modeling scheme is established and applied to address the multiscale modeling problem for the integrated system of cement paste, mortar, and concrete. The block-by-block technique is employed to solve the length scale overlap challenge between the mortar level (0.1–10 mm) and the concrete level (1–40 mm). The microstructures of cement paste are simulated by the HYMOSTRUC3D model, and the material structures of mortar and concrete are simulated by the Anm material model. Afterwards the 3D lattice fracture model is used to evaluate their mechanical performance by simulating a uniaxial tensile test. The simulated output properties at a lower scale are passed to the next higher scale to serve as input local properties. A three-level multiscale lattice fracture analysis is demonstrated, including cement paste at the micrometer scale, mortar at the millimeter scale, and concrete at centimeter scale.

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“…At a finer scale and using the technique of Schlangen and van Mier (1992), the elements of a lattice framework, with a characteristic element size smaller than the features of the mesostructure, are assigned differing properties depending upon the region of the mesostructure in which they are located: aggregate, mortar, air void, fiber, or interfacial zone between two of the former. Some 2D fiber-reinforcing models that incorporate this technique include the models developed by Leite et al (2004), Liu et al (2008), and Spagnoli (2009).…”

Section: Introductionmentioning

confidence: 99%

Lattice Discrete Particle Model for Fiber-Reinforced Concrete. I: Theory

2012

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The lattice discrete particle model (LDPM) is a mesoscale model for heterogeneous materials. Developed for concrete, it simulates material mesostructure by modeling coarse aggregate particles and their surrounding mortar as polyhedral cells. A tetrahedralization of the particle centers generates a lattice framework where each lattice member is associated with a triangular-shaped plane of contact (facet) between two cells. Compatibility equations are formulated by describing the deformation of an assemblage of particles through rigid-body kinematics. Equilibrium equations are obtained through the force and moment equilibrium of each cell. The material behavior is assumed to be governed by a vectorial constitutive law imposed at the facets. A natural extension for this discrete model is to include the effect of dispersed fibers as discrete entities within the mesostructure. The LDPM incorporates this effect by modeling individual fibers randomly placed within the framework according to a given fiber volume fraction. The number and orientation of the fibers crossing each facet is computed and the contribution of each fiber to the facet response is formulated on the basis of a previously established micromechanical model for fiber-matrix interaction. The theory for the developed model, entitled the LDPM-F, is discussed herein. A subsequent companion paper will address model calibration and validation through the numerical simulation of experimental test results.

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Modified generalized beam lattice model associated with fracture of reinforced fiber/particle composites

Cited by 15 publications

References 16 publications

On the Load–Unload (L–U) and Force–Release (F–R) Algorithms for Simulating Brittle Fracture Processes via Lattice Models

On the Load–Unload (L–U) and Force–Release (F–R) Algorithms for Simulating Brittle Fracture Processes via Lattice Models

Modeling Framework for Fracture in Multiscale Cement-Based Material Structures

Lattice Discrete Particle Model for Fiber-Reinforced Concrete. I: Theory

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