Cone complimentary-based numerical manifold method modeling frictional and cohesive contact problems

Fan, Huo; Huang, Duruo; Wang, Gang

doi:10.1016/j.apm.2020.08.019

Cited by 9 publications

(5 citation statements)

References 61 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Initially, contacts are established at the known positions of particles. Subsequently, the force‐displacement law is utilized for each contact to update the contact forces between the particles 16,27,28 . Once the resultant force and moment of the particle are determined, the particle's velocity and displacement can be obtained using the motion law.…”

Section: Modeling Methods and Theoriesmentioning

confidence: 99%

“…Subsequently, the force-displacement law is utilized for each contact to update the contact forces between the particles. 16,27,28 Once the resultant force and moment of the particle are determined, the particle's velocity and displacement can be obtained using the motion law. The equation governing translational motion can be expressed as follows:…”

Section: Modeling Methods and Theoriesmentioning

confidence: 99%

See 1 more Smart Citation

Numerical study on seepage properties of rock mass with non‐penetrating fracture using discrete element method

Chen,

Shi,

Jia

et al. 2023

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

This paper aims to investigate the seepage process of fractured rock mass at a mesoscopic level, using the discrete element method. To this end, an improved pipe flow algorithm is proposed within the framework of particle flow code, including the heterogeneity of initial micro‐cracks and the deformation of solid skeleton. A series of numerical samples with a single non‐penetrating fracture are then studied. The relationships between the rock permeability and different properties of fracture (i.e., the aperture, dip angle and length) are investigated. The influence of fracture properties on the distribution of pore pressure in the rock mass is also analyzed. The obtained numerical results exhibit that the seepage properties of rock mass with non‐penetrating fracture depend strongly on the dip angle and length of fracture and are slightly disturbed by the fracture aperture. Moreover, its permeability is almost of the same order as that of non‐fractured rock. The numerical results and mesoscale analysis can help us understand the influence of fracture properties on the permeability of host rock and provide practical guidance for the prevention of hydraulic disasters and the development of mineral resources.

show abstract

Section: Modeling Methods and Theoriesmentioning

confidence: 99%

Section: Modeling Methods and Theoriesmentioning

confidence: 99%

Numerical study on seepage properties of rock mass with non‐penetrating fracture using discrete element method

Chen,

Shi,

Jia

et al. 2023

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

show abstract

“…Mesh parameters, such as element size and element type, play a crucial role in ensuring high-quality numerical calculations [21][22][23][24]. Contact models with friction developed over the years and take into account the effect of material deformation, the flattening of the surface asperities under different lubrication regimes, lubricant viscosity, and sliding speed [25][26][27]. Attempts are being made to link the physical parameters of the lubricant, such as film thickness and viscosity, the surface roughness of surfaces in contact, the process parameters (contact pressure, sliding speed), and the elasto-plastic behavior of the interacting asperities with the amount of frictional resistance [28][29][30].…”

Section: Finite Element Methodsmentioning

confidence: 99%

Multiphysics Modeling and Numerical Simulation in Computer-Aided Manufacturing Processes

Trzepieciński

Dell’Isola

Lemu

2021

Metals

View full text Add to dashboard Cite

The concept of Industry 4.0 is defined as a common term for technology and the concept of new digital tools to optimize the manufacturing process. Within this framework of modular smart factories, cyber-physical systems monitor physical processes creating a virtual copy of the physical world and making decentralized decisions. This article presents a review of the literature on virtual methods of computer-aided manufacturing processes. Numerical modeling is used to predict stress and temperature distribution, springback, material flow, and prediction of phase transformations, as well as for determining forming forces and the locations of potential wrinkling and cracking. The scope of the review has been limited to the last ten years, with an emphasis on the current state of knowledge. Intelligent production driven by the concept of Industry 4.0 and the demand for high-quality equipment in the aerospace and automotive industries forces the development of manufacturing techniques to progress towards intelligent manufacturing and ecological production. Multi-scale approaches that tend to move from macro- to micro- parameters become very important in numerical optimization programs. The software requirements for optimizing a fully coupled thermo-mechanical microstructure then increase rapidly. The highly advanced simulation programs based on our knowledge of physical and mechanical phenomena occurring in non-homogeneous materials allow a significant acceleration of the introduction of new products and the optimization of existing processes.

show abstract

“…As a more general scheme, a manifold-based mass lumping scheme was recently presented by Yang et al 26 in the context of partition of unity (PU) method, 27 specifically the numerical manifold method (NMM), 28 which has been successfully applied to structures, [29][30][31][32][33][34] cracks, [35][36][37][38][39][40][41] fluids, [42][43][44] and large deformation. 45,46 The manifold-based mass lumping scheme is a rigorous and unified approach.…”

Section: Introductionmentioning

confidence: 99%

A new family of high‐order triangular weight functions for mass lumping in vibration analysis

Fan

Huang

Wang

2023

Numerical Meth Engineering

Self Cite

View full text Add to dashboard Cite

In the conventional finite element method, only a few types of elements can directly use the weight functions to generate a proper, diagonally lumped mass matrix (LMM), which satisfies mass conservation and positive definiteness. This study proposes a new set of weight functions that can be efficiently constructed and used for generating a proper LMM based on classical 6‐, 9‐, and 10‐node triangular elements. Furthermore, we prove that these new elements are all complete and consistent, which ensures the convergence of the numerical solution. Finally, some modal and forced/free vibration analyses are conducted to demonstrate the computational accuracy and validation of the proposed LMM.

show abstract

Cone complimentary-based numerical manifold method modeling frictional and cohesive contact problems

Cited by 9 publications

References 61 publications

Numerical study on seepage properties of rock mass with non‐penetrating fracture using discrete element method

Numerical study on seepage properties of rock mass with non‐penetrating fracture using discrete element method

Multiphysics Modeling and Numerical Simulation in Computer-Aided Manufacturing Processes

A new family of high‐order triangular weight functions for mass lumping in vibration analysis

Contact Info

Product

Resources

About