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State-based peridynamics method of physical nonlinear simulation of fiber reinforced composite material

A composite material and fiber reinforced technology, which is applied in the realization of physical nonlinear behaviors, can solve problems such as application of examples that have not been seen, and achieve the effect of reducing errors.

Active Publication Date: 2016-09-07
SHANGHAI JIAO TONG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Madenci E, Oterkus E in Peridynamic theory and its applications [M]. New York: Springer, 2014. Introduced a PD modeling method for fiber-reinforced resin matrix composites, and carried out a detailed theoretical derivation, but There is no practical example application of this method in this book, and whether this method is suitable for simulating the physical nonlinear behavior of composite materials needs further study

Method used

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  • State-based peridynamics method of physical nonlinear simulation of fiber reinforced composite material
  • State-based peridynamics method of physical nonlinear simulation of fiber reinforced composite material
  • State-based peridynamics method of physical nonlinear simulation of fiber reinforced composite material

Examples

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Embodiment 1

[0038]This example is a verification of the compensation-amendment method described in the Summary of the Invention.

[0039] Such as figure 1 As shown, this embodiment includes:

[0040] a) Enter model parameters.

[0041] In this embodiment, the isotropic material plate is subjected to tension and shear displacement fields. The size of the plate of isotropic material is 3.5 mm x 3.5 mm. Elastic modulus of tension and compression E=2.054×10 5 MPa, shear modulus G=7.9×10 4 MPa, Poisson's ratio v=0.3.

[0042] b) Discretization of the model.

[0043] Discretize the model uniformly, take the distance between material points Δx=0.5mm, and the range of near field δ=3Δx.

[0044] c) Try adding a displacement field.

[0045] Apply a pure tensile displacement field, the displacement parameter is: u=ε x x,v=0,ε x = 0.01. figure 2 It is the comparison of the calculation results of the elastic strain energy density function under the tensile displacement field.

[0046] A p...

Embodiment 2

[0048] Such as figure 1 As shown, this embodiment includes the following steps.

[0049] a) Input model parameters

[0050] In this embodiment, the unidirectional composite material plate is subjected to off-axis tensile load. The composite board is 190.5mm long and 19.0mm wide. The included angle between the fiber direction of the laminate and the direction of the load is θ, and the θ angles are 15°, 30°, 45°, and 90°, respectively. Fiber direction modulus E 1 is 127.6GPa, the modulus E perpendicular to the fiber direction 2 10.3GPa, shear modulus G 12 6.0GPa, Poisson's ratio ν 12 is 0.32. The nonlinear constitutive adopts the model proposed by Sun C T and Chen J L in A simple flow rule for characterizing nonlinear behavior of fiber composites[J].Journal of Composite Materials,1989,23:1009-1020. The model parameters are a66=1.5, n=7.0, A=2.794×10 ‐18 (Mpa) ‐n .

[0051] b) Model discretization

[0052] Discretize the model uniformly, take the distance between mate...

Embodiment 3

[0059] Such as figure 1 As shown, this embodiment includes the following steps.

[0060] a) Input model parameters

[0061] In this embodiment, the cross-ply composite board is subjected to off-axis tensile load. The layup of the laminate is [±45] 2S . The laminate is 140.0mm long and 25.0mm wide. Fiber direction modulus E 1 is 66.28GPa, the modulus E perpendicular to the fiber direction 2 66.48GPa, shear modulus G 12 4.54GPa, Poisson's ratio ν 12 is 0.056. The nonlinear constitutive adopts the model proposed by Sun C T and Chen J L in A simple flow rule for characterizing nonlinear behavior of fibercomposites[J].Journal of Composite Materials,1989,23:1009-1020. The model parameters are a66=1.0, n=3.1, A=3.0×10 ‐9 (Mpa) ‐n .

[0062] b) Model discretization

[0063] Discretize the model uniformly, take the distance between material points Δx=0.5mm, and the range of near field δ=3Δx.

[0064] c) Try to add the displacement field, and use the compensation-correctio...

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Abstract

The invention discloses a state-based peridynamics method of physical nonlinear simulation of a fiber reinforced composite material. The state-based peridynamics method of physical nonlinear simulation of the fiber reinforced composite material comprises the steps of firstly dispersing a to-be-simulated composite material structure into a series of space material points, generating space coordinates of the material points, correcting non-local strain of the material points at the border by adopting a compensation-correction method, dividing the total displacement of the structure into multiple increment steps for applying, and judging whether the structure reaches to a balanced state within each increment step by adopting a relative displacement criterion so as to obtain displacement in the balanced state; after applying all the increment steps, realizing simulation of a physical nonlinear behavior of the composite material. The state-based peridynamics method of physical nonlinear simulation of the fiber reinforced composite material can efficiently simulate physical nonlinear response of an orthogonal layer fiber reinforced resin matrix composite material, an unidirectional fiber reinforced resin matrix composite material and the like under the action of a partial axial tensile load; and the compensation-correction method provided and adopted in the simulation method can reduce an error between a density calculation value and a theoretical value of elastic strain energy at the border of the state-based peridynamics model under the action of a stretching and shearing displacement field remarkably.

Description

technical field [0001] The invention relates to a technology in the field of material engineering, in particular to a method for realizing the physical nonlinear behavior of simulated fiber-reinforced resin-based composite materials based on state-type peridynamics. Background technique [0002] Peridynamics (PD for short) is an emerging multi-scale mechanical method based on the idea of ​​non-local action, which has unique advantages in solving discontinuity problems. In this theory, the object is discretized into a series of material points when modeling, and it is considered that the material points are affected by the force of other material points within a certain near-field range around them. Since the method was proposed, it has been continuously developed and improved. At present, there are two main theoretical branches: bond-based peridynamics (Bond-Based Peridynamics, also known as bond-based peridynamics) and state Peridynamics (State-Based Peridynamics, also kno...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/367
Inventor 刘肃肃余音
Owner SHANGHAI JIAO TONG UNIV
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