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Construction and solving method of elastic and viscous plastic material fractal constitutive model

A technology for plastic materials and constitutive models, which is applied in the field of material mechanics and can solve problems such as inability to solve differential equations, inconsistency of actual structures, and difficulty in solving equations.

Active Publication Date: 2021-07-06
CHINA UNIV OF MINING & TECH (BEIJING)
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0003] The mathematical essence of the component model is a differential equation, and its order is related to the complexity of the model. Every time a basic mechanical component is added to the model, the order of the differential equation will increase by one order. When the model is more complex, it will lead to difficulties in solving the equation. can't even get an analytical solution
[0004] At present, commonly used component models such as Maxwell and Burgers have a small number of components. Although they are easy to solve, the model is not expressive enough to describe the elasto-viscoplastic mechanical properties of materials well, and adding components will lead to differential equations Unable to solve
On the other hand, the actual physical structure of the material at the mesoscopic level is very complex, and the component model simplifies the physical structure of the material into a series-parallel combination of several basic mechanical elements, which does not match the actual structure

Method used

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  • Construction and solving method of elastic and viscous plastic material fractal constitutive model
  • Construction and solving method of elastic and viscous plastic material fractal constitutive model
  • Construction and solving method of elastic and viscous plastic material fractal constitutive model

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Embodiment 1

[0040] Such as figure 1 As shown, the embodiment of the present invention provides a method for constructing a fractal constitutive model of an elasto-viscoplastic material, including:

[0041] S101, build the basic mechanical element modules describing the elasticity, viscosity and plasticity of materials respectively;

[0042] S102, combining and connecting the basic mechanical element modules to obtain a primitive module;

[0043] S103, on the basis of the primitive module, use the primitive module to iterate the basic mechanical element module to obtain a fractal element constitutive model; and The parameters are preset multiples of the parameters of each basic mechanical element module in the primitive module; starting from the second iteration, the parameters of each basic mechanical element module in the newly added part of the next iteration are the basic mechanical element modules in the newly added part of the previous iteration. Preset multiplier for the parameter...

Embodiment 2

[0079] An embodiment of the present invention provides a method for solving a fractal constitutive model of an elasto-viscoplastic material, and the fractal constitutive model of an elasto-viscoplastic material is constructed according to the method described in Embodiment 1.

[0080] For the construction method of the fractal constitutive model of the elastoviscoplastic material, please refer to the description in Embodiment 1, and details are not repeated here.

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Abstract

The invention discloses a construction and solving method of an elastic and viscous plastic material fractal constitutive model, basic mechanical element modules are combined and connected to form a primitive module, the primitive module is utilized to iterate the basic mechanical element modules on the basis of the primitive module to obtain a fractal element constitutive model, and in the iteration process, the parameter of each basic mechanical element module in the first iteration newly-added part is a preset multiple of the parameter of each basic mechanical element module in the element module; and starting from the second iteration, the parameter of each basic mechanical element module in the newly added part of the next iteration is a preset multiple of the parameter of each basic mechanical element module in the newly added part of the previous iteration. The model constructed by the invention not only can well describe the elastic, viscoplastic and plastic mechanical properties of the material, but also can well describe the very complicated actual physical structure of the material in the microscopic aspect; in addition, the complexity of the fractal constitutive model can be expressed, the number of parameters can not be increased, and solving of the constructed fractal constitutive model can be well achieved.

Description

technical field [0001] The invention relates to the technical field of material mechanics, in particular to a method for constructing and solving a fractal constitutive model of an elastic-viscoplastic material. Background technique [0002] Materials in nature have complex physical and mechanical properties, including various forms of elasticity, viscosity, plasticity and combinations thereof. The component model uses several basic mechanical components to describe the elasticity, viscosity and plasticity of materials simply and intuitively, and is an important means to study the mechanical properties of materials. [0003] The mathematical essence of the component model is a differential equation, and its order is related to the complexity of the model. Every time a basic mechanical component is added to the model, the order of the differential equation will increase by one order. When the model is more complex, it will lead to difficulties in solving the equation. Even a...

Claims

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Application Information

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IPC IPC(8): G16C60/00G16C10/00G06F30/20G16C20/90G06F119/14G06F111/10
CPCG16C10/00G16C20/90G16C60/00G06F30/20G06F2111/10G06F2119/14
Inventor 李德建饶远昊刘校麟丁涛
Owner CHINA UNIV OF MINING & TECH (BEIJING)
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