Meshfree analysis of dynamic fracture in thin-walled structures

Gato, C.

doi:10.1016/j.tws.2009.10.011

Cited by 15 publications

(6 citation statements)

References 50 publications

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“…There are three main approaches to the numerical modeling of thin-shell structures: shell theory, degenerated continuum theory, and a direct 3D continuum approach. The first two approaches require complicated numerical methods from an implementation perspective [84]. However, the 3D continuum approach often deploys multiple nodes in the shell thickness to obtain reasonable gradient fields.…”

Section: Simulation Under Mechanical Loadmentioning

confidence: 99%

Deformation and fracture of cylindrical tubes under detonation loading: A review of numerical and experimental analyses

Malekan

Khosravi

Cimini

2019

International Journal of Pressure Vessels and Piping

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The dynamic load in tubes due to detonation has a number of applications, such as in oil pipeline systems and pulse detonation engines. Various experimental, analytical, and numerical investigations have been conducted to study the mechanical, thermo-mechanical, and fracture behavior of tubes under internal detonation loads. Regarding numerical analysis, different approaches such as interface cohesive element, mesh-free, and extended finite element methods have been used to model the propagation of crack(s) in a tube. This paper presents a review of relevant literature pertaining to numerical and experimental analyses of detonation-driven deformation and fracture, and of studies based on the analytical investigation of moving loads in detonation tubes. The corresponding findings are discussed in detail, and possible avenues for future research are highlighted.

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Section: Simulation Under Mechanical Loadmentioning

confidence: 99%

Deformation and fracture of cylindrical tubes under detonation loading: A review of numerical and experimental analyses

Malekan

Khosravi

Cimini

2019

International Journal of Pressure Vessels and Piping

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“…For validating the proposed approach, numerical examples of quasistatic tearing of a square plate, an impact problem and detonation driven fracture of cylindrical shells were considered. In present work, it was the first time that the 3D continuum approach based on Lagrangian kernels was applied to fracture of thin shells and implementation was done in C++ [ 84 , 85 ]. In a recent development, a new enrichment criterion for modeling kinked cracks using EFG method is proposed by Pant et al In order to capture crack tip stress singularity, some additional terms are incorporated in the linear basis function.…”

Section: Fracture Mechanicsmentioning

confidence: 99%

A Review on Recent Contribution of Meshfree Methods to Structure and Fracture Mechanics Applications

Daxini

Prajapati

2014

The Scientific World Journal

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Meshfree methods are viewed as next generation computational techniques. With evident limitations of conventional grid based methods, like FEM, in dealing with problems of fracture mechanics, large deformation, and simulation of manufacturing processes, meshfree methods have gained much attention by researchers. A number of meshfree methods have been proposed till now for analyzing complex problems in various fields of engineering. Present work attempts to review recent developments and some earlier applications of well-known meshfree methods like EFG and MLPG to various types of structure mechanics and fracture mechanics applications like bending, buckling, free vibration analysis, sensitivity analysis and topology optimization, single and mixed mode crack problems, fatigue crack growth, and dynamic crack analysis and some typical applications like vibration of cracked structures, thermoelastic crack problems, and failure transition in impact problems. Due to complex nature of meshfree shape functions and evaluation of integrals in domain, meshless methods are computationally expensive as compared to conventional mesh based methods. Some improved versions of original meshfree methods and other techniques suggested by researchers to improve computational efficiency of meshfree methods are also reviewed here.

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“…Rabczuk et al [19] presented a meshfree thin shell formulation for nonlinear dynamic fracture simulation. In contrast to using a plate or shell formulation, the direct three dimensional meshfree analysis of plate or shell structures was proposed as well by Li and Liu [20] and recently it was applied to predict the thin cylinder failure under the combining thermal and mechanical loads by Qian et al [21] and the dynamic fracture simulation of thin-walled structures by Gato [22]. It is noticed that the aforementioned methods solely utilize the translational degrees of freedom in thin beam, plate or shell analysis.…”

Section: Introductionmentioning

confidence: 99%

Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures

Wang

Lin

2011

Comput Mech

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A dispersion analysis is carried out to study the dynamic behavior of the Hermite reproducing kernel (HRK) Galerkin meshfree formulation for thin beam and plate problems. The HRK approximation utilizes both the nodal deflectional and rotational variables to construct the meshfree approximation of the deflection field within the reproducing kernel framework. The discrete Galerkin formulation is fulfilled with the method of sub-domain stabilized conforming integration. In the dispersion analysis following the HRK Galerkin meshfree semi-discretization, both the deflectional and rotational nodal variables are expressed by harmonic functions and then substituted into the semi-discretized equation to yield the characteristic equation. Subsequently the numerical frequency and phase speed can be obtained. The transient analysis with full-discretization is performed by using the central difference time integration scheme. The results of dispersion analysis of thin beams and plates show that compared to the conventional Gauss integration-based meshfree formulation, the proposed method has more favorable dispersion performance. Thereafter the superior performance of the present method is also further demonstrated by several transient analysis examples.Keywords Hermite reproducing kernel approximation · Meshfree method · Thin beam and plate · Sub-domain stabilized conforming integration · Dispersion analysis · Transient analysis

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Meshfree analysis of dynamic fracture in thin-walled structures

Cited by 15 publications

References 50 publications

Deformation and fracture of cylindrical tubes under detonation loading: A review of numerical and experimental analyses

Deformation and fracture of cylindrical tubes under detonation loading: A review of numerical and experimental analyses

A Review on Recent Contribution of Meshfree Methods to Structure and Fracture Mechanics Applications

Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures

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