A novel Volume-Compensated Particle method for 2D elasticity and plasticity analysis

Chen, Hailong; Lin, Enqiang; Liu, Yongming

doi:10.1016/j.ijsolstr.2014.01.025

Cited by 73 publications

(29 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The XFEM has been more and more commonly used for applications in fracture mechanics [4][5][6][7][8][9][10][11]. The XFEM belongs to the category of the continuum-based approach for analysis of solid mechanics problems while the other category, the discontinuous approach, also includes very powerful methods for fracture mechanics simulations, e.g., the peridynamics method [12,13], and the volume-compensated particle method [14,15]. Using the discontinuous approach, crack initiation and propagation processes can be modeled in a unified way based on bond breaking and removal rules and they avoid singularity-related issues.…”

Section: Introductionmentioning

confidence: 99%

A novel hybrid approach for level set characterization and tracking of non-planar 3D cracks in the extended finite element method

Sadeghirad

Chopp

Ren

et al. 2016

Engineering Fracture Mechanics

View full text Add to dashboard Cite

In this paper, the limitations associated with implicit and explicit representations of cracks in the extended finite element method (XFEM) is recapitulated via numerical explorations followed by the development of a novel hybrid approach for the characterization of non-planar 3D cracks along with its capability demonstrations. In the XFEM, the crack geometry is independent of the structural mesh, and is often described implicitly by means of two level set functions. The implicit representation is very convenient for purposes of computing the crack front velocity and for handling situations where crack front is concave and the velocity vectors may cross. The main difficulty of this implicit description is the formulation of an efficient and robust update scheme for the level set values after a propagation step. On the other hand, the crack geometry can be described by an explicit triangulated mesh which can be easily updated after a propagation step. The explicit representation has its own shortcomings, e.g., difficulties in handling crack overlaps and extraction of crack local coordinates. Given the difficulties associated with the use of either implicit or explicit method for the geometric description of complex crack geometry, a novel hybrid method is developed by a combination of an implicit level set representation of the crack and an explicit triangulated mesh representation. In the hybrid approach, the implicit representation is updated after each propagation step and disconnected crack surfaces are removed using a paint-fill algorithm based on the current explicit representation of the crack. Then, an updated explicit representation is constructed based on the updated implicit representation using the marching cubes algorithm. Finally, the implicit representation is rebuilt from the explicit representation. The use of the explicit representation ensures that the data in the level set representation is generated from a consistent crack description. The effectiveness of the developed hybrid approach is demonstrated by analyzing several 3D crack propagation problems including a quarter-circular crack in a complex helicopter component, a u-shaped crack and an inclined elliptical crack in cuboids, and an inclined edge crack in a three-point bending beam.

show abstract

Section: Introductionmentioning

confidence: 99%

A novel hybrid approach for level set characterization and tracking of non-planar 3D cracks in the extended finite element method

Sadeghirad

Chopp

Ren

et al. 2016

Engineering Fracture Mechanics

View full text Add to dashboard Cite

show abstract

“…Typical systems generated using these methods are shown in while the explicit solution scheme discussed in Ref. [26], [34] is used for quasi-static fracture problems.…”

Section: Numerical Resultsmentioning

confidence: 99%

Numerical investigation of microstructure effect on mechanical properties of bi-continuous and particulate reinforced composite materials

Chen

Meng

Chen

et al. 2016

Computational Materials Science

Self Cite

View full text Add to dashboard Cite

In this paper, numerical simulations are proposed to investigate mechanical properties of bicontinuous and particulate reinforced composite materials using a non-local voxel-based discrete computational model. Special focus of this article is the effect of 3D microstructure and its heterogeneity on elastic deformation and fracture behaviors. First, a review on model formulation is presented. Model parameters are derived in terms of material constants using the concept of energy equivalency. Interface representation and numerical homogenization scheme are discussed. Following this, numerical investigations on the effects of interface properties and inclusion characteristics, i.e. the volume fraction and material constants, on homogenized elastic constants and fracture behaviors of statistically isotropic bi-phase composites are performed. The effective elastic constants predicted by the proposed model agree well with analytical results. Fracture simulation demonstrates good capability of the

show abstract

“…But, recently, many attempts are devoted to considering the plastic effect, e.g. [8][9][10][11] important strength of the lattice method is that it transforms a 3D continuum fracture issue into an intrinsic 1D bond rupture problem. The 1D bond rupture mechanism is more straightforward and easier to characterize.…”

Section: Introductionmentioning

confidence: 99%

A hyperelastic-bilinear potential for lattice model with fracture energy conservation

Zhang

Ding

Ghassemi

et al. 2015

Engineering Fracture Mechanics

View full text Add to dashboard Cite

a b s t r a c tA hyperelastic-bilinear potential (HBP) is proposed for lattice model to preserve the fracture energy in fracture simulation. This potential inherits the essence of hyperelastic interatomic potential in that it can capture the hyperelastic behaviors of material at the crack tip which plays a critically important role in dynamic fracture. Moreover, the potential retains the essence of the bilinear cohesive law in that it can preserve the fracture energy by setting a limit on the bond strain. With this HBP, the lattice size sensitivity is eliminated to a great extent and the dynamic fracture can be more accurately simulated.

show abstract

A novel Volume-Compensated Particle method for 2D elasticity and plasticity analysis

Cited by 73 publications

References 23 publications

A novel hybrid approach for level set characterization and tracking of non-planar 3D cracks in the extended finite element method

A novel hybrid approach for level set characterization and tracking of non-planar 3D cracks in the extended finite element method

Numerical investigation of microstructure effect on mechanical properties of bi-continuous and particulate reinforced composite materials

A hyperelastic-bilinear potential for lattice model with fracture energy conservation

Contact Info

Product

Resources

About