Numerical simulation of ductile fracture based on mean field homogenization method: Modeling and implementation

Xiang, Meizhen

doi:10.1016/j.engfracmech.2015.07.041

Cited by 10 publications

(4 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Figure 19b shows that two long parallel cracks appear in the damaged area before the bar-shaped notch. This type of long parallel crack is considered to be a common pattern of dynamic tensile damage (spallation) caused by shock loading [12,32,33]. From Fig.…”

Section: D Wave Propagation On a Notched Platementioning

confidence: 99%

A dynamic hybrid local/nonlocal continuum model for wave propagation

2020

View full text Add to dashboard Cite

In this work, we develop a dynamic hybrid local/nonlocal continuum model to study wave propagations in a linear elastic solid. The developed hybrid model couples, in the dynamic regime, a classical continuum mechanics model with a bond-based peridynamic model using the Morphing coupling method that introduced in a previous study (Lubineau et al., J Mech Phys Solids 60(6):1088-1102. The classical continuum mechanical model is known as a local continuum model, while the peridynamic model is known as a nonlocal continuum model. This dynamic hybrid model aims to introduce the nonlocal model into the key structural domain, in which the dispersions or crack nucleations may occur due to flaws, while applying the local model to the rest of the structural domain. Both the local and nonlocal continuum domains are overlapped in the coupled subdomain. We study the speeds and angular frequencies of the plane waves, with small and large wavenumbers obtained by the hybrid model and compare them to purely local and purely nonlocal solutions. The error of the hybrid model is discussed by analyzing the ghost forces, and the work done by the ghost forces is considered equivalent to the energy of spurious reflections. One-and two-dimensional numerical examples illustrate the validity and accuracy of the proposed approach. We show that this dynamic hybrid local/nonlocal continuum model can be successfully applied to simulate wave propagations and crack nucleations induced by waves.

show abstract

Section: D Wave Propagation On a Notched Platementioning

confidence: 99%

A dynamic hybrid local/nonlocal continuum model for wave propagation

2020

View full text Add to dashboard Cite

show abstract

“…These results are valid for any material model and either phase. 31 To calculate elastic modulus, the uniaxial tensile test is performed on the FE module of the Digimat®. The input physical parameters used in Digimat® FE simulation are given in Table 2.…”

Section: Numerical Modelingmentioning

confidence: 99%

Fracture and mechanical behavior of vacuum-assisted microwave cured unidirectional carbon woven fabric reinforced epoxy composite

Kumar

Pathak

Zafar

2020

Proceedings of the Institution of Mechanical Engineers, Part L:

View full text Add to dashboard Cite

Woven fabric reinforced epoxy composite shown inherent favorable characteristics for aerospace industry applications. This paper comprehensively investigated the mechanical and fracture behavior of unidirectional carbon woven fabric reinforced epoxy composite using experimental and computational techniques. The composites were fabricated with two, four, and six ply laminates with cross-ply and inclined ply (45/–45) orientations. Laminates were fabricated using Vacuum-Assisted Resin Infusion Microwave Curing technique with a high fiber volume fraction of 50% for each laminate. Experimental analyses were performed to predict the behavior of composites under tensile, shear, and impact loading environment. Further, the mean-field homogenization technique coupled with the finite element method was employed to predict orthotropic material properties, fracture energy, and fracture parameters ( KIC and GIC) of the composite. The results showed that fracture energy obtained by the computational technique was in good agreement with experimental results. The values of GIC increased with the number of plies both for cross and inclined plies orientation composites. KIC values were higher for cross plies laminates than the inclined plies laminates.

show abstract

“…The nucleation of dislocations is directly induced by shear stress, thus is related to shear wave reflection coefficient SR  . As for aluminum, the Poisson ratio is taken to be 0.342 and  is calculated to be 2.04 [42]. Fig.4 After the precursor front passes the void, the stress field near the void surface may be roughly approximated by a biaxial static far-field compression problem.…”

Section: Void Collapse Mechanisms: Plasticity and Internal Jettingmentioning

confidence: 99%

Shock responses of nanoporous aluminum by molecular dynamics simulations

Xiang

Cui

Yang

et al. 2017

International Journal of Plasticity

Self Cite

View full text Add to dashboard Cite

Abstract:We present systematic investigations on the shock responses of nanoporous aluminum (np-Al) by nonequilibrium molecular dynamics simulations. The dislocation nucleation sites are found to concentrate in low latitude region near the equator of the spherical void surfaces. We propose a continuum wave reflection theory and a resolved shear stress model to explain the distribution of dislocation nucleation sites. The simulations reveals two mechanisms of void collapse: the plasticity mechanism and the internal jetting mechanism. The plasticity mechanism, which leads to transverse collapse of voids, prevails under relatively weaker shocks; while the internal jetting mechanism, which leads to longitudinal filling of the void vacuum, plays more significant role as the shock intensity increases. In addition, an abnormal thermodynamic phenomenon (i.e., arising of temperature with pressure dropping) in shocked np-Al is discovered. This phenomenon is incompatible with the conventional Rankine-Hugoniot theory, and is explained by the nonequilibrium processes involved in void collapse. The influences of void collapse on spall fracture of np-Al is studied. Under the same loading velocity, the spall strength of np-Al is found to be lower than that of single-crystal Al; but the spall resistance is higher in np-Al than in single-crystal Al. This is explained by the combined influences of thermal dissipation and stress attenuation during shock wave propagation in np-Al.

show abstract

Numerical simulation of ductile fracture based on mean field homogenization method: Modeling and implementation

Cited by 10 publications

References 60 publications

A dynamic hybrid local/nonlocal continuum model for wave propagation

A dynamic hybrid local/nonlocal continuum model for wave propagation

Fracture and mechanical behavior of vacuum-assisted microwave cured unidirectional carbon woven fabric reinforced epoxy composite

Shock responses of nanoporous aluminum by molecular dynamics simulations

Contact Info

Product

Resources

About