CN109147031B - Modeling method of concentric elliptical model of wood fiber based on S2 layer spiral microfibers - Google Patents
Modeling method of concentric elliptical model of wood fiber based on S2 layer spiral microfibers Download PDFInfo
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Abstract
The invention discloses a modeling method of a concentric ellipse model of wood fiber based on S2 layer spiral microfibers, and relates to the field of geometric modeling of wood fiber. The method mainly comprises the following steps: calculating the fiber wall cavity ratio according to the fiber cross-section SEM image; calculating the elliptical dimensions of each layer of the fiber by combining the wall cavity ratio and the fiber layering proportion; establishing an S2-layer elliptical spiral microfiber structure; spiral grooving is carried out on the S2 elliptical layer; the layers were assembled into concentric elliptical fiber models. The fiber angle of the S2 layer microfibers has a great influence on the mechanical properties of the fibers, so that the model is based on the fiber angle, and the model is more in line with the actual geometric form. The model can be applied to finite element simulation of elastic mechanics, thermodynamics and other performances of single wood fiber.
Description
Technical Field
The invention belongs to the field of wood microstructures, relates to the technical field of geometric structures and modeling of single wood fibers, and particularly relates to a modeling method of a concentric elliptical model of wood fibers based on S2-layer spiral microfibers.
Background
Wood fibers have been widely used since ancient times, and the most widespread use thereof is in pulp and paper making, which has been of great concern since it is renewable, pollution-free, and abundant in content. The microscopic structure of wood fibers has long been studied thoroughly: the cellulose macromolecules are gathered into fibrils, a plurality of fibrils are gathered into sub-fibrils, and a plurality of sub-fibrils are reconstituted into fibrils (hereinafter referred to as microfibers). Hemicellulose is arranged among the sub-fine fibers, and the outer layer of the micro-fine fibers is a thin lignin layer. The wood fiber consists of cavities, S3, S2, S1 and P layers from inside to outside, and each layer consists of microfibers, hemicellulose and lignin.
Many studies on macroscopic properties of wood are available, but relatively lacking structural modeling studies on individual fibers at the microscopic scale. Several scholars have proposed a simplified model of wood fibers, which greatly simplifies the distribution of microfibers in each layer of the fiber. However, no scholars have proposed a method for establishing microfibers directly in a single fiber model. The prior patent also does not disclose a method for modeling the microstructure of wood fibers.
Disclosure of Invention
The invention aims at overcoming the defects of the prior art, and provides a modeling method of a wood fiber concentric ellipse model based on S2 layer spiral microfibers. According to the modeling method of the concentric elliptical model of the wood fiber based on the S2 layer spiral microfibers, the wall cavity ratio is calculated through the fiber cross section image, the size of the elliptical model of the fiber is further determined, the spiral microfibers are embedded in the S2 layer to restore the real appearance of the fiber, and finally, a concentric elliptical model of a single fiber containing the spiral microfibers is established, so that the mechanical property of the wood fiber is judged.
The aim of the invention can be achieved by the following technical scheme:
a modeling method of a concentric ellipse model of wood fiber based on S2 layer spiral microfibers comprises the following steps of:
1) Calculating the wall cavity ratio, namely the ratio between the fiber wall and the cavity formed by the S3 layer, the S2 layer, the S1 layer and the P layer according to the SEM image of the cross section of the wood fiber;
2) Calculating elliptical dimensions of each layer of the S3 layer, the S2 layer, the S1 layer and the P layer by combining the wall cavity ratio and the ratio of each layer of the S3 layer, the S2 layer, the S1 layer and the P layer;
3) Based on the S2 layer, establishing an elliptical spiral microfiber structure;
4) Carrying out spiral grooving on the S2 layer, wherein the groove is matched with a spiral microfiber structure;
5) And assembling the S3 layer, the S2 layer, the S1 layer and the P layer which are spirally grooved and the spiral microfiber structure into a concentric elliptical fiber model.
Preferably, in step 1), the SEM image of the fiber wall cross section is binarized and equivalent circular ring converted, and the wall-cavity ratio R is calculated wl The specific process is as follows:
1.1 Performing binarization processing on the SEM image by using an automatic threshold value to obtain a binary image BW of the fiber cross section;
1.2 Statistics of cavity area S based on binary image BW L Total area S with fibrous wall F ；
1.3 With the cavity being considered as the inner circle of the circle, the fiber wall being considered as the outer circle, according to the formula
Calculating the equivalent circle radius R of the cavity L And fiber wall equivalent circle radius R F ；
1.4 Calculating the wall-to-cavity ratio:
R wl ＝T wall /R L ＝(R F -R L )/R L ，
wherein T is wall Is of wall thickness, R wl For wall-to-cavity ratio, R L Is equivalent circle radius of cavity, R F Is the equivalent circle radius of the fiber wall.
Preferably, step 2) comprises the steps of:
2.1 Concentric ellipses of the P layer, the S1 layer, the S2 layer and the S3 layer in the fiber cross section are used as cavities;
2.2 Setting the semi-major axis of the ellipse in the concentric ellipse as a lumen The semi-minor axis is b lumen Calculating the equivalent circle radius R after calculating the elliptical area lumen The method comprises the following steps:
2.3 From the data provided in the reference:
p layer volume ratio TR P =0.08, S1 layer volume fraction TR S1 =0.08, S2 layer volume fractionTR S2 =0.76, S3 layer volume fraction TR S3 =0.08 based on wall-to-cavity ratio R wl Calculating semi-major axis and semi-minor axis of each layer ellipse of concentric ellipse:
a S3 ＝a lumen +T wall ·TR S3 ；
a S2 ＝a lumen +T wall ·(TR S3 +TR S2 )；
a S1 ＝a lumen +T wall ·(TR S3 +TR S2 +TR S1 )；
a P ＝a lumen +T wall ·(TR S3 +TR S2 +TR S1 +TR P )；
b S3 ＝b lumen +T wall ·TR S3 ；
b S2 ＝b lumen +T wall ·(TR S3 +TR S2 )；
b S1 ＝b lumen +T wall ·(TR S3 +TR S2 +TR S1 )；
b P ＝b lumen +T wall ·(TR S3 +TR S2 +TR S1 +TR P )；
wherein alpha is S3 Is the semi-long axis of the S3 layer ellipse, alpha S2 Is the semi-long axis of the S2 layer ellipse, alpha S1 Is the semi-long axis of the S1 layer ellipse, alpha P Is the semi-long axis of the ellipse of the P layer, b S3 Semi-minor axis of S3 layer ellipse, b S2 Semi-minor axis of S2 layer ellipse, b S1 Is the semi-minor axis of the S1 layer ellipse, b P Is the semi-short axis of the ellipse of the P layer, T wall Is the wall thickness.
Preferably, in step 3), the method for establishing the S2 layer spiral microfibers includes:
3.1 Drawing an ellipse by drawing software to establish an elliptical stretching curved surface;
3.2 A circle is drawn, and a spiral line is drawn based on the circle;
3.3 Drawing N concentric line segments through a circumferential array, wherein N is the number of microfibers, and establishing a spiral scanning curved surface;
3.4 Taking the intersection line of the elliptical stretching curved surface and the spiral scanning curved surface to obtain a spiral line on the elliptical surface;
3.5 Establishing a reference plane perpendicular to the line at the end point of each spiral line, drawing a circle and scanning, thus completing modeling of the elliptical spiral microfiber.
Preferably, step 4) is performed by spirally grooving the S2 layer by cutting and combining elliptical ring domain spiral microfibers.
Compared with the prior art, the invention has the following advantages and beneficial effects:
1. according to the invention, based on the cross-section SEM image of the wood fiber, the wall cavity ratio of the fiber is calculated, so that a fiber single fiber model with a size more fitting the actual microscopic morphology is established;
2. the microfibers in the S2 with the most obvious influence on structural performance are independently modeled and embedded into the model, so that important positions of the microfibers in single wood fibers are highlighted, and meanwhile, the anisotropic properties of the single fibers are reduced;
3. according to the invention, each layer in the fiber is regarded as an elliptical model, so that the irregular section of the fiber is simplified under the condition of not losing similarity.
Drawings
FIG. 1 is an SEM binary image of a cross-section of wood fibers;
FIG. 2 is an equivalent circular schematic of a wood fiber cross section;
FIG. 3 is a concentric oval model of wood fibers;
FIG. 4 is an elliptical spiral;
FIG. 5 is a model of the helical microfiber structure in the S2 layer;
FIG. 6 is an S2 layer elliptical ring model with spiral grooves cut out;
fig. 7 is a concentric oval model of a single wood fiber comprising S2 layers of helical microfibers.
Detailed Description
The present invention will be described in further detail with reference to examples and drawings, but embodiments of the present invention are not limited thereto.
As shown in fig. 1 to 7, a modeling method of a concentric ellipse model of wood fiber based on S2 layer spiral microfibers is provided, wherein the wood fiber consists of a cavity, an S3 layer, an S2 layer, an S1 layer and a P layer from inside to outside, and the modeling method comprises the following steps:
1) Wall-to-cavity ratio, i.e. the ratio between the fiber walls consisting of S3, S2, S1 and P layers and the cavity, was calculated from SEM images of the wood fiber cross-section:
1.1 Performing binarization processing on the SEM image by using an automatic threshold value to obtain a binary image BW of the fiber cross section;
1.2 Statistics of cavity area S based on binary image BW L Total area S with fibrous wall F ；
1.3 With the cavity being considered as the inner circle of the circle, the fiber wall being considered as the outer circle, according to the formula
Calculating the equivalent circle radius R of the cavity L And fiber wall equivalent circle radius R F ；
1.4 Calculating the wall-to-cavity ratio:
R wl ＝T wall /R L ＝(R F -R L )/R L ，
wherein T is wall Is of wall thickness, R wl For wall-to-cavity ratio, R L Is equivalent circle radius of cavity, R F Is the equivalent circle radius of the fiber wall.
2) As shown in fig. 2 and 3, the elliptical dimensions of each of the S3 layer, the S2 layer, the S1 layer and the P layer are calculated by combining the wall cavity ratio and the respective layer duty ratios of the S3 layer, the S2 layer, the S1 layer and the P layer;
2.1 Taking concentric ellipses of 4 layers (P, S1, S2 and S3) in the fiber cross section as cavities;
2.2 Setting the semi-major axis of the ellipse in the concentric ellipse as a lumen The semi-minor axis is b lumen Calculating the equivalent circle radius R after calculating the elliptical area lumen The method comprises the following steps:
2.3 From the data provided in the reference:
p layer volume ratio TR P =0.08, S1 layer volume fraction TR S1 =0.08, S2 layer volume fraction TR S2 =0.76, S3 layer volume fraction TR S3 =0.08 based on wall-to-cavity ratio R wl Calculating semi-major axis and semi-minor axis of each layer ellipse of concentric ellipse:
a S3 ＝a lumen +T wall ·TR S3 ；
a S2 ＝a lumen +T wall ·(TR S3 +TR S2 )；
a S1 ＝a lumen +T wall ·(TR S3 +TR S2 +TR S1 )；
a P ＝a lumen +T wall ·(TR S3 +TR S2 +TR S1 +TR P )；
b S3 ＝b lumen +T wall ·TR S3 ；
b S2 ＝b lumen +T wall ·(TR S3 +TR S2 )；
b S1 ＝b lumen +T wall ·(TR S3 +TR S2 +TR S1 )；
b P ＝b lumen +T wall ·(TR S3 +TR S2 +TR S1 +TR P )；
wherein alpha is S3 Is the semi-long axis of the S3 layer ellipse, alpha S2 Is the semi-long axis of the S2 layer ellipse, alpha S1 Is the semi-long axis of the S1 layer ellipse, alpha P Is the semi-long axis of the ellipse of the P layer, b S3 Semi-minor axis of S3 layer ellipse, b S2 Semi-minor axis of S2 layer ellipse, b S1 Is the semi-minor axis of the S1 layer ellipse, b P Is the semi-short axis of the ellipse of the P layer, T wall Is the wall thickness.
3) As shown in fig. 5 and 6, based on the S2 layer, an S2 layer elliptical spiral microfiber structure is established;
3.1 Drawing an ellipse by drawing software to establish an elliptical stretching curved surface;
3.2 A circle is drawn, and a spiral line is drawn based on the circle;
3.3 Drawing N concentric line segments (N is the number of microfibers) through a circumferential array, and establishing a spiral scanning curved surface;
3.4 Taking the intersection line of the elliptical stretching curved surface and the spiral scanning curved surface to obtain a spiral line on the elliptical surface;
3.5 Establishing a reference plane perpendicular to the line at the end point of each spiral line, drawing a circle and scanning, thus completing modeling of the elliptical spiral microfiber.
4) As shown in fig. 5 and 6, the S2 layer is spirally grooved, and the grooves are matched with the spiral microfiber structure;
4.1 Cutting and combining the elliptical ring domain spiral microfibers of the S2 layer to obtain the S2 layer with the spiral grooves as shown in fig. 7.
5) As shown in fig. 7, the S3 layer, the S2 layer, the S1 layer, and the P layer, which have been spirally grooved, are assembled with a spiral microfiber structure into a concentric elliptical fiber model.
The above embodiments are preferred examples of the present invention, and the present invention is not limited thereto, and any other modifications or equivalent substitutions made without departing from the technical aspects of the present invention are included in the scope of the present invention.
Claims (5)
1. A modeling method of a concentric ellipse model of wood fiber based on S2 layer spiral microfibers is characterized by comprising the following steps of:
1) Calculating the wall cavity ratio, namely the ratio between the fiber wall and the cavity formed by the S3 layer, the S2 layer, the S1 layer and the P layer according to the SEM image of the cross section of the wood fiber;
2) Calculating elliptical dimensions of each layer of the S3 layer, the S2 layer, the S1 layer and the P layer by combining the wall cavity ratio and the ratio of each layer of the S3 layer, the S2 layer, the S1 layer and the P layer;
3) Based on the S2 layer, establishing an elliptical spiral microfiber structure;
4) Carrying out spiral grooving on the S2 layer, wherein the groove is matched with a spiral microfiber structure;
5) And assembling the S3 layer, the S2 layer, the S1 layer and the P layer which are spirally grooved and the spiral microfiber structure into a concentric elliptical fiber model.
2. The modeling method of concentric ellipse model of wood fiber based on S2 layer spiral microfiber according to claim 1, wherein in the step 1), the SEM image of fiber wall cross section is subjected to binarization and equivalent circular conversion, and then the wall cavity ratio R is calculated wl The specific process is as follows:
1.1 Performing binarization processing on the SEM image by using an automatic threshold value to obtain a binary image BW of the fiber cross section;
1.2 Statistics of cavity area S based on binary image BW L Total area S with fibrous wall F ；
1.3 With the cavity being considered as the inner circle of the circle, the fiber wall being considered as the outer circle, according to the formula
Calculating the equivalent circle radius R of the cavity L And fiber wall equivalent circle radius R F ；
1.4 Calculating the wall-to-cavity ratio:
wherein T is wall Is of wall thickness, R wl For wall-to-cavity ratio, R L Is equivalent circle radius of cavity, R F Is the equivalent circle radius of the fiber wall.
3. The modeling method of concentric ellipse model of wood fiber based on S2 layer spiral microfibers according to claim 1, wherein the step 2) comprises the steps of:
2.1 Concentric ellipses of the P layer, the S1 layer, the S2 layer and the S3 layer in the fiber cross section are used as cavities;
2.2 Setting the semi-major axis of the ellipse in the concentric ellipse as a lumen The semi-minor axis is b lumen Calculation ofAfter the elliptic area, calculating the equivalent circle radius R lumen The method comprises the following steps:
2.3 P layer volume ratio TR) P =0.08, S1 layer volume fraction TR S1 =0.08, S2 layer volume fraction TR S2 =0.76, S3 layer volume fraction TR S3 =0.08 based on wall-to-cavity ratio R wl Calculating semi-major axis and semi-minor axis of each layer ellipse of concentric ellipse:
wherein alpha is S3 Is the semi-long axis of the S3 layer ellipse, alpha S2 Is the semi-long axis of the S2 layer ellipse, alpha S1 Is the semi-long axis of the S1 layer ellipse, alpha P Is the semi-long axis of the ellipse of the P layer, b S3 Semi-minor axis of S3 layer ellipse, b S2 Semi-minor axis of S2 layer ellipse, b S1 Is the semi-minor axis of the S1 layer ellipse, b P Is the semi-short axis of the ellipse of the P layer, T wall Is the wall thickness.
4. The modeling method of the concentric ellipse model of the wood fiber based on the S2 layer spiral microfibers according to claim 1, wherein in the step 3), the establishing method of the S2 layer spiral microfibers is as follows:
3.1 Drawing an ellipse by drawing software to establish an elliptical stretching curved surface;
3.2 A circle is drawn, and a spiral line is drawn based on the circle;
3.3 Drawing N concentric line segments through a circumferential array, wherein N is the number of microfibers, and establishing a spiral scanning curved surface;
3.4 Taking the intersection line of the elliptical stretching curved surface and the spiral scanning curved surface to obtain a spiral line on the elliptical surface;
3.5 Establishing a reference plane perpendicular to the line at the end point of each spiral line, drawing a circle and scanning, thus completing modeling of the elliptical spiral microfiber.
5. The modeling method of concentric ellipse model of wood fiber based on S2 layer spiral microfibers according to claim 1, wherein the step 4) is to cut out and combine ellipse ring domain spiral microfibers by spiral grooving of S2 layer.
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