Lattice spring model with angle spring and its application in fracture simulation of elastic brittle materials

Wang, Tao; Zhou, Mao Jun; Li, Yongqiang; Yu, Yin; He, Hongliang

doi:10.1016/j.tafmec.2019.102469

Cited by 13 publications

(4 citation statements)

References 33 publications

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“…28 Recently, lattice models have been widely used for numerical analysis of static or dynamic fractures to realistically represent failures of heterogeneous materials. [28][29][30][31][32][33] In this study, a particle-based lattice model, 28 the RBSN, is utilized to simulate the dynamic fracture behaviors of concrete. Such a model so called the Voronoi-cell lattice model focuses on the mesh geometry and its central role.…”

Section: Introductionmentioning

confidence: 99%

Mesh‐size independent rigid‐body spring network for simulation of the dynamic fracture behavior of concrete

Choo

Park

Nam

et al. 2023

Num Anal Meth Geomechanics

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In this study, a numerical approach is developed for simulating the rate‐dependent behaviors of concrete without mesh sensitivity. The rheological units (e.g., dashpot) are integrated with the six directional springs in the rigid‐body spring network (RBSN) elements to reflect the rate‐dependent behavior of concrete. Previously, the viscoplastic damage model was associated with the elemental degrees of freedom. However, in the present approach, a viscoelastic constitutive law is newly defined for the normal direction as a function of the strain rate, from which the internal forces can be updated from the regularized elemental stresses. Such improvements are validated through the numerical simulations of the direct tensile test and spalling test using the modified split‐Hopkinson pressure bar (SHPB). The simulated results show consistent structural responses without mesh dependence on the strain rate. In addition, the influences of the softening curve shapes on the crack localizations are examined. It is shown that the rheological parameters can be optimized and determined for consistent applications through virtual experiments. The proposed numerical approach enables the mesh construction procedure without concerning the mesh‐size sensitivity due to the strain rate, and various applications are expected for the simulations of detailed numerical models of concrete materials and structures under high loading rates.

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Section: Introductionmentioning

confidence: 99%

Mesh‐size independent rigid‐body spring network for simulation of the dynamic fracture behavior of concrete

Choo

Park

Nam

et al. 2023

Num Anal Meth Geomechanics

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“…In classic molecular dynamics more complicated volume-dependent terms were used to overcome the limitations of two-body interactions [20,29]. More recent attempts to extend LSMs has included mapping the LSM with multibody interactions to the FEM [25,59,62], and non-local particle interactions [17].…”

Section: Introductionmentioning

confidence: 99%

An irregular lattice spring model: uniform elasticity, grid refinement and isotropic crack propagation

Buxton

2022

Modelling Simul. Mater. Sci. Eng.

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The Born lattice spring model (LSM) is implemented on an irregular network. This irregular LSM is directly mapped to linear elasticity theory such that the model can capture an elastically uniform system where the direction of resultant fracture propagation is no longer inﬂuenced by a regular lattice structure. Furthermore, this allows the density of nodes to be varied throughout the simulation while maintaining the correct elastic mapping. For the ﬁrst time, the LSM can be reﬁned around areas of interest such as heterogeneities or crack tips, while capturing the spatial cooperative eﬀects of isotropic fracture propagation in heterogeneous materials.

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“…Namely, Youssef and Rahman [21] discussed a macromodel to represent the nonlinear performance of reinforced concrete elements under bending. Additionally, many research studies developed finite element models by using springs instead of specific elements [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Simplified Numerical Model Development for Advanced Design of Lightweight‐Concrete Encased Cold‐Formed Steel Compressed Elements

Eid

Joó

2022

Advances in Civil Engineering

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The utilization of cold-formed steel (CFS) elements has become more popular recently, due to their cost efficiency and feasibility in construction work. Nevertheless, since such elements are subjected to a variety of complex stability issues, numerous approaches to strengthening have been examined. Namely, CFS members were braced by using lightweight concrete through a previous experimental program. A simplified finite element model was performed consistently with the previous experimental work, to estimate the ultimate load of encased CFS members subjected to compression. The main aim of this research was to overcome the difficulties of modeling the concrete block by substituting the volume element with springs. In addition, a practical equation was proposed to predict the stiffness of springs, and an imperfection amplitude was set to obtain the design capacity of braced CFS compressed elements.

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Lattice spring model with angle spring and its application in fracture simulation of elastic brittle materials

Cited by 13 publications

References 33 publications

Mesh‐size independent rigid‐body spring network for simulation of the dynamic fracture behavior of concrete

Mesh‐size independent rigid‐body spring network for simulation of the dynamic fracture behavior of concrete

An irregular lattice spring model: uniform elasticity, grid refinement and isotropic crack propagation

Simplified Numerical Model Development for Advanced Design of Lightweight‐Concrete Encased Cold‐Formed Steel Compressed Elements

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