Hyperelastic thin plate configuration evolution control method and system based on growth deformation and medium

Abstract

The invention discloses a hyperelastic thin plate configuration evolution control method and system based on growth deformation and a medium, and the method comprises the steps: S1, calculating a first class basic quantity and a second class basic quantity of a target curved surface according to a parameter equation of the target curved surface; s2, judging whether the coordinate curve forms an orthogonal curvature line net or not according to the first type of basic quantity and the second type of basic quantity, and if so, executing the step S4; if not, executing the step S3; s3, performing independent variable transformation on the parameter equation of the target curved surface to enable the new coordinate curve to form an orthogonal curvature line net on the curved surface; and S4, determining the initial plane configuration of the plate-shaped sample and the distribution of the growth function in the plate-shaped sample according to the first basic quantity and the second basic quantity. According to the method, whether a parametric curved surface coordinate net is an orthogonal curvature line net or not is considered, and the growth function of any parametric curved surface can be calculated. The method can be widely applied to the technical field of software intelligent device design and development.

Description

technical field [0001] The invention relates to the technical field of design and development of software intelligent devices, in particular to a method, system and medium for controlling the configuration evolution of a hyperelastic thin plate based on growth and deformation. Background technique [0002] Growth (or swelling, expansion, etc.) deformation of soft material samples (such as soft biological tissues, polymer gels, etc.) is ubiquitous in nature and engineering. Due to the influence of factors such as genetics, biochemistry, external environment and mechanical loading, the growth field inside the soft material sample often has inhomogeneous or incompatible characteristics, which is usually called differential growth. In the case of differential growth, soft material samples will exhibit a variety of geometric configurations and surface topography evolution. In the field of industrial applications, by setting the material composition or microstructure in the soft ...

AI Technical Summary

Problems solved by technology

[0004] The current state of research on the inverse problem of growth and deformation of soft materials is far from satisfactory

In particular, there is a lack of a widely applicable scheme to determine the growth function distribution inside a plate-like soft material sample for any three-dimensional surface configuration (satisfying the necessary smoothness requirements)

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