CN107745112B - Slot type ladle breathable brick - Google Patents
Slot type ladle breathable brick Download PDFInfo
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- CN107745112B CN107745112B CN201710951968.6A CN201710951968A CN107745112B CN 107745112 B CN107745112 B CN 107745112B CN 201710951968 A CN201710951968 A CN 201710951968A CN 107745112 B CN107745112 B CN 107745112B
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B22—CASTING; POWDER METALLURGY
- B22D—CASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
- B22D41/00—Casting melt-holding vessels, e.g. ladles, tundishes, cups or the like
- B22D41/02—Linings
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- C—CHEMISTRY; METALLURGY
- C21—METALLURGY OF IRON
- C21C—PROCESSING OF PIG-IRON, e.g. REFINING, MANUFACTURE OF WROUGHT-IRON OR STEEL; TREATMENT IN MOLTEN STATE OF FERROUS ALLOYS
- C21C7/00—Treating molten ferrous alloys, e.g. steel, not covered by groups C21C1/00 - C21C5/00
- C21C7/04—Removing impurities by adding a treating agent
- C21C7/072—Treatment with gases
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Abstract
Description
技术领域technical field
本发明涉及一种狭缝式钢包透气砖,属于钢包炉外精炼使用透气砖技术领域。The invention relates to a slit-type ladle breathable brick, which belongs to the technical field of the use of breathable bricks for refining outside a ladle furnace.
背景技术Background technique
由于社会发展对钢铁质量的要求不断提高,现代钢铁企业对生产优质钢的炉外精炼 技术不断深入研究发现,炉外精炼工艺对增加钢材的种类和改善钢材质量起到至关重要 的作用。通过安装在钢包底部的透气砖向钢液中吹入氩气或者氮气等惰性气体,采用气泡的浮力充分的搅拌钢水均匀钢水温度,除去钢水中的夹杂物有效控制钢水中的元素成分和合金偏差,改善钢液流动从而达到炉外精炼的目的。Due to the ever-increasing requirements for steel quality due to social development, modern iron and steel enterprises have continued to conduct in-depth research on out-of-furnace refining technology for producing high-quality steel, and found that out-of-furnace refining technology plays a vital role in increasing the types of steel and improving the quality of steel. The inert gas such as argon or nitrogen is blown into the molten steel through the breathable brick installed at the bottom of the ladle, and the buoyancy of the bubbles is used to fully stir the molten steel to uniformize the molten steel temperature, remove the inclusions in the molten steel, and effectively control the element composition and alloy deviation in the molten steel. , to improve the flow of molten steel to achieve the purpose of refining outside the furnace.
由于透气砖耐火材料的热机械性能对钢铁生产周期、钢水质量有直接影响,所以为 了保证炉外精炼过程的可靠性和安全性,改善透气砖的热机械性能显得尤为重要。在炉外精炼过程中,钢包内衬耐火材料直接接触钢水且受到钢水剪切流动的物理侵蚀和炉渣带来的化学侵蚀,此外还受到精炼过程和不同工艺时边界条件的变化而导致钢液温度变化过程导致的热机械应力的变化。常用的矩形狭缝以透气砖中心为圆心呈辐射状分布, 有单环和双环分布,然而这种结构狭缝末端的热应力容易集中;对其进行改进的弧形狭 缝透气砖,虽然考虑到直边的影响,但是忽略了末端直角切口的结构变化,仍然容易在 狭缝末端产生热应力集中。Since the thermomechanical properties of the refractory material of the permeable brick have a direct impact on the steel production cycle and the quality of the molten steel, it is particularly important to improve the thermomechanical properties of the permeable brick in order to ensure the reliability and safety of the refining process outside the furnace. During the refining process outside the furnace, the refractory material lining the ladle directly contacts the molten steel and is subject to physical erosion by the shear flow of the molten steel and chemical erosion caused by the slag. In addition, the temperature of the molten steel is caused by the changes in the refining process and the boundary conditions of different processes. Changes in thermo-mechanical stress caused by a change process. The commonly used rectangular slits are distributed radially with the center of the ventilating brick as the center of the circle, and there are single ring and double ring distribution, but the thermal stress at the end of the slit is easy to concentrate; the improved arc slit ventilating brick, although considering However, ignoring the structural change of the right-angle slit at the end, it is still easy to generate thermal stress concentration at the end of the slit.
与此同时的轴向热机械应力的周期性变化或者热机械应力在某部位的局部集中可 能使材料出现裂纹,材料裂纹处的抗渣性能和抗冲刷磨损性能大大降低使材料的使用寿 命大大缩短;因此为了满足透气砖在恶劣工况下的热机械性能对其进行结构上的优化减 少应力集中的影响显得尤为重要。At the same time, the periodic change of axial thermo-mechanical stress or the local concentration of thermo-mechanical stress in a certain part may cause cracks in the material, and the slag resistance and erosion resistance of the material at the crack are greatly reduced, which greatly shortens the service life of the material. Therefore, in order to meet the thermo-mechanical properties of breathable bricks under severe working conditions, it is particularly important to optimize the structure to reduce the influence of stress concentration.
发明内容SUMMARY OF THE INVENTION
为了解决现有技术的不足,本发明提供了一种狭缝式钢包透气砖,能够均匀透气砖 的热应力分布、减少狭缝处的热应力集中现象,从而减少裂纹的产生和扩展甚至是断裂, 增强透气砖的热机械性能,延长透气砖的使用寿命。In order to solve the deficiencies of the prior art, the present invention provides a slot-type ladle breathable brick, which can uniformly distribute the thermal stress of the breathable brick and reduce the thermal stress concentration at the slot, thereby reducing the generation and expansion of cracks and even fractures , Enhance the thermomechanical properties of the breathable brick and prolong the service life of the breathable brick.
本发明为解决其技术问题所采用的技术方案是:提供了一种狭缝式钢包透气砖,包 括圆台形本体,所述本体内部设有狭缝群,所述狭缝群由以本体轴线为中心成环形阵列分布的狭缝组成,所述狭缝群的环数为2~3圈,所述狭缝群每圈的狭缝数目为6~20条, 各狭缝为贯穿本体上下底面的通孔,其横切面为椭圆形或者倒角矩形。The technical solution adopted by the present invention to solve the technical problem is as follows: a slit-type ladle breathable brick is provided, which includes a circular truncated body, and a group of slits is arranged inside the body, and the group of slits is formed by the axis of the body as the The center is composed of slits distributed in an annular array, the number of rings of the slit group is 2 to 3, the number of slits in each circle of the slit group is 6 to 20, and each slit is penetrating the upper and lower bottom surfaces of the main body. Through hole, its cross section is oval or chamfered rectangle.
所述狭缝的横切面为长轴和短轴比为33.3~200:1的椭圆。The cross section of the slit is an ellipse with a ratio of the major axis to the minor axis of 33.3-200:1.
所述狭缝横切面的短轴与本体上底的半径的比例为1~3:625。The ratio of the short axis of the cross section of the slit to the radius of the upper bottom of the body is 1-3:625.
所述狭缝群的狭缝以透气砖工作面的中心为圆心辐射排列分布。The slits of the slit group are arranged and distributed radiatingly with the center of the working surface of the air-permeable brick as the center of the circle.
所述狭缝群的狭缝以透气砖工作面的中心为圆心径向辐射排列分布。The slits of the slit group are radially arranged and distributed with the center of the air-permeable brick working surface as the center of the circle.
所述狭缝群的相邻圈的狭缝错开排列。The slits of adjacent circles of the slit group are arranged staggered.
本发明基于其技术方案所具有的有益效果在于:The beneficial effect that the present invention has based on its technical scheme is:
(1)本发明一种狭缝式钢包透气砖的狭缝采用椭球形,或者横切面为椭圆形或者倒角矩形的柱形,其横切面没有尖角,能有效的均匀热应力,增大热应力裂纹扩展阻力, 减少狭缝扩展裂纹的产生;(1) The slit of a slot type ladle ventilation brick of the present invention adopts an ellipsoid, or the cross-section is an ellipse or a chamfered rectangular column, and the cross-section has no sharp corners, which can effectively uniform the thermal stress and increase the Thermal stress crack propagation resistance, reducing the occurrence of slit propagation cracks;
(2)本发明一种狭缝式钢包透气砖中的狭缝可采用辐射性排列分布方式,可以有效的降低透气装工作面的热应力,减少热应力的梯度,减少了透气砖的横向剥落和断裂;(2) The slits in the slot-type ladle breathable brick of the present invention can be arranged and distributed in a radial manner, which can effectively reduce the thermal stress of the breathable working surface, reduce the gradient of thermal stress, and reduce the lateral peeling of the breathable brick. and fracture;
(3)本发明一种狭缝式钢包透气砖中的狭缝可以采用径向排列分布方式,方便增加狭缝数量,增大透气面积,减少钢水精炼的时间,增加钢水流场扰动,有效的去除夹 杂物和减小合金偏差。(3) The slits in the slit-type ladle permeable brick of the present invention can adopt a radial arrangement and distribution method, which is convenient to increase the number of slits, increase the ventilation area, reduce the refining time of molten steel, increase the disturbance of the molten steel flow field, and effectively Remove inclusions and reduce alloy deviation.
附图说明Description of drawings
图1是本发明一种狭缝式钢包透气砖的结构示意图。Fig. 1 is a structural schematic diagram of a slit type ladle breathable brick of the present invention.
图2是本发明实施例的狭缝横截面示意图。FIG. 2 is a schematic cross-sectional view of a slit according to an embodiment of the present invention.
图3是本发明实施例的辐射式狭缝式钢包透气砖的俯视图。FIG. 3 is a top view of the radial slit type ladle ventilation brick according to an embodiment of the present invention.
图4是本发明实施例的错开排列的狭缝式钢包透气砖的俯视图。Fig. 4 is a top view of the staggered arrangement of slit ladle ventilation bricks according to an embodiment of the present invention.
图5是切口描述示意图。Figure 5 is a schematic diagram of the description of the incision.
图6是Kt,s/Kt,E随切口参数t/r的变化曲线。Figure 6 is a curve of K t,s /K t,E as a function of the notch parameter t/r.
图7是Kt,s/Kt,E拟合曲线。Figure 7 is a fitted curve of K t,s /K t,E .
图8是方形孔单孔透气砖y轴方向正应力σx分布截面云图。Figure 8 is a cross-sectional cloud diagram of the normal stress σ x distribution in the y-axis direction of the square-hole single-hole breathable brick.
图9是薄板受力示意图。Figure 9 is a schematic diagram of the force of the thin plate.
图10是不同孔型的薄板网格示意图。Figure 10 is a schematic diagram of a thin plate grid with different hole types.
图11是椭圆孔薄板正应力σx分布云图。Figure 11 is a cloud map of the normal stress σ x distribution of the thin plate with elliptical holes.
图12是椭圆孔薄板等效应力分布云图。Figure 12 is a cloud diagram of the equivalent stress distribution of the thin plate with elliptical holes.
图13是方形孔薄板正应力σx分布云图。Figure 13 is a cloud diagram of the normal stress σ x distribution of the square hole thin plate.
图14是方形孔薄板等效应力分布云图。Figure 14 is a cloud diagram of the equivalent stress distribution of the square hole thin plate.
图15是应力分析路径示意图。Figure 15 is a schematic diagram of the stress analysis path.
图16是不同孔型薄板沿路径B方向薄板正应力σx及其差值分布。Fig. 16 shows the normal stress σ x and its difference distribution of different hole-shaped thin plates along the path B direction.
图17是不同孔型薄板沿路径A方向薄板正应力σx其差值分布。Figure 17 is the difference distribution of the normal stress σ x of the sheet along the path A direction of the sheet with different hole types.
图18是不同孔型薄板沿路径B方向等效应力其差值分布。Figure 18 is the difference distribution of equivalent stress along the path B direction of different hole-shaped thin plates.
图19是不同孔型薄板沿路径A方向等效应力其差值分布。Figure 19 shows the difference distribution of the equivalent stress in the direction of path A for different hole-shaped thin plates.
图中:1-本体,2-狭缝,3-横切面。In the figure: 1- body, 2- slit, 3- cross section.
具体实施方式Detailed ways
下面结合附图和实施例对本发明作进一步说明。The present invention will be further described below with reference to the accompanying drawings and embodiments.
本发明提供了一种狭缝式钢包透气砖,参照图1、图2和图3,包括圆台形本体1, 所述本体1内部设有狭缝群,所述狭缝群由以本体轴线为中心成环形阵列分布的狭缝2 组成,各狭缝为贯穿本体上下底面的通孔,其横切面为椭圆形或者倒角矩形。所述狭缝 的横切面为长轴和短轴比为33.3~200:1的椭圆。所述狭缝横切面的短轴与本体上底的 半径的比例为1~3:625。The present invention provides a slot type ladle breathable brick, referring to FIGS. 1 , 2 and 3 , comprising a truncated cone-
以图1所示的透气砖为例,其上底直径为125mm,下底为185mm,高为350mm, 则所述狭缝横切面的短轴与本体上底的半径的比例为1:625,狭缝的横切面3可以为图 2所示的长轴和短轴比为100:1的椭圆,其短轴和长轴分别为0.1mm和10mm。椭圆 形狭缝能有效的均匀热应力,增大热应力裂纹扩展阻力,减少狭缝扩展裂纹的产生。Taking the breathable brick shown in Figure 1 as an example, the diameter of the upper bottom is 125mm, the bottom bottom is 185mm, and the height is 350mm, then the ratio of the short axis of the cross section of the slit to the radius of the upper bottom of the body is 1:625, The
所述狭缝群的狭缝以透气砖工作面的中心为圆心辐射排列分布。辐射性排列分布方 式狭缝可以有效的降低透气装工作面的热应力,减少热应力的梯度,减少了透气砖的横向剥落和断裂。The slits of the slit group are arranged and distributed radiatingly with the center of the working surface of the air-permeable brick as the center of the circle. The radial arrangement and distribution of the slits can effectively reduce the thermal stress on the working surface of the ventilating installation, reduce the gradient of thermal stress, and reduce the lateral peeling and fracture of the ventilating brick.
所述狭缝群的狭缝可以以透气砖工作面的中心为圆心径向辐射排列分布。径向排列 分布方式可以方便增加狭缝数量,增大透气面积,减少钢水精炼的时间,增加钢水流场扰动,有效的去除夹杂物和合金偏差。The slits of the slit group can be radially arranged and distributed with the center of the ventilation brick working surface as the center of the circle. The radial arrangement and distribution method can easily increase the number of slits, increase the ventilation area, reduce the time of molten steel refining, increase the disturbance of the molten steel flow field, and effectively remove inclusions and alloy deviations.
所述狭缝群的圈数可以为2~3圈,所述狭缝群每圈的狭缝数目可以为6~20条。以图3所示的两圈狭缝为例,内圈狭缝和外圈狭缝以透气砖本体中心轴为对称轴呈环形阵 列所构成,各圈狭缝径向排列;内圈狭缝共10条,外圈狭缝为20条,内圈狭缝两相邻 狭缝之间的夹角为36°,外圈狭缝两相邻狭缝的夹角为18°。The number of turns of the slit group may be 2-3 turns, and the number of slits per turn of the slit group may be 6-20. Taking the two circles of slits shown in Figure 3 as an example, the inner circle of slits and the outer circle of slits are formed in a circular array with the central axis of the air-permeable brick body as the symmetry axis, and each circle of slits is arranged radially; There are 10 slits in the outer ring, 20 slits in the outer ring, the included angle between two adjacent slits in the inner ring slit is 36°, and the included angle between two adjacent slits in the outer ring slit is 18°.
所述狭缝群的相邻圈的狭缝也可以如图4所示错开排列。The slits in the adjacent circles of the slit group may also be staggered as shown in FIG. 4 .
钢包精炼采用单圈狭缝透气砖时,为了增加透气量往往需要加长狭缝,但是这种长 狭缝在使用的过程中容易造成渗钢或者堵塞,既影响安全生产又影响吹气搅拌的效果。本发明采用多圈狭缝可以有效的减少上述现象的发生。When single-ring slit ventilation bricks are used in ladle refining, it is often necessary to lengthen the slits in order to increase the air permeability. However, such long slits are likely to cause steel penetration or blockage during use, which affects both safe production and the effect of blowing and stirring. . The present invention can effectively reduce the occurrence of the above phenomenon by adopting multi-circle slits.
内圈狭缝共10条,外圈狭缝为20条,每圈狭缝数的确定是根据钢包内钢水所需扰流的湍流动能范围和设备压力限制计算而来的临界值。There are 10 slits in the inner ring and 20 slits in the outer ring. The determination of the number of slits in each ring is a critical value calculated according to the turbulent kinetic energy range of the turbulent flow of molten steel in the ladle and the equipment pressure limit.
在透气砖的使用过程中,同圈相邻狭缝之间由明显的应力集中现象,但是根据应力 集中现象的规律,在同圈相邻狭缝的中间应力集中现象最小。During the use of the permeable bricks, there is an obvious stress concentration phenomenon between adjacent slits in the same circle, but according to the law of stress concentration phenomenon, the stress concentration phenomenon is the smallest in the middle of adjacent slits in the same circle.
综上所述,采用相邻圈错开的狭缝排列,可以透气砖增加透气量,减小应力集中现象,降低透气砖狭缝的渗钢和堵塞,延长透气砖使用寿命,增加扰动搅拌效果,减少热 应力的梯度,避免透气砖的横向剥落和断裂等现象发生。To sum up, the arrangement of staggered slits in adjacent circles can increase the air permeability of the breathable brick, reduce the stress concentration phenomenon, reduce the steel penetration and blockage of the breathable brick slit, prolong the service life of the breathable brick, and increase the disturbance stirring effect. Reduce the gradient of thermal stress and avoid lateral peeling and fracture of breathable bricks.
针对不同切口研究其应力集中系数,减小透气砖的应力集中是本发明的重要理论基 础,不同切口的应力集中系数不同。图5所示切口的描述参数。D表示透气砖中心轴到 狭缝中心的距离,a表示狭缝中心到狭缝顶点的距离,根据狭缝的切口深度t、狭缝的切 口张角α、狭缝的切口尖端半径r可将切口种类分为表1所示。The stress concentration factor of different incisions is studied, reducing the stress concentration of the air-permeable brick is an important theoretical basis of the present invention, and the stress concentration factor of different incisions is different. Descriptive parameters for the incision shown in Figure 5. D represents the distance from the central axis of the vented brick to the center of the slit, and a represents the distance from the center of the slit to the vertex of the slit. According to the slit depth t of the slit, the slit opening angle α of the slit, and the slit tip radius r of the slit The types of incisions are classified as shown in Table 1.
表1切口分类表Table 1 Incision classification table
当狭缝的切口深度t=0时为无切口光滑体,没有应力集中问题,对于尖端半径r->0 的线裂纹,通常用应力场强度因子描述应力场强度,应力集中系数没有意义。下面针对椭圆形孔、倒角矩形和圆弧倒角切口的应力集中系数大小进行分析。When the incision depth of the slit is t=0, it is a smooth body without incision, and there is no problem of stress concentration. For line cracks with tip radius r->0, the stress field intensity is usually described by the stress field intensity factor, and the stress concentration factor is meaningless. The following is an analysis of the stress concentration factor of oval holes, chamfered rectangles and arc chamfered cuts.
为了方便表达应力集中系数公式,定义以下狭缝切口参数:For the convenience of expressing the stress concentration factor formula, the following slit parameters are defined:
图6是以均匀无限板中椭圆孔的应力集中系数Kt,E为基础,寻找各类狭缝切口应力集中系数与椭圆孔应力集中系数的关系,根据实验数据得到的Kt,s/Kt,E随切口参数t/r的变化曲线,利用最小二乘法拟合半无限板上V形切口或圆弧形切口的应力集中系数后其 拟合公式为:Figure 6 is based on the stress concentration factor K t,E of the elliptical hole in the uniform infinite plate, to find the relationship between the stress concentration factor of various slit cuts and the stress concentration factor of the elliptical hole, and K t,s /K obtained according to the experimental data The variation curve of t, E with the notch parameter t/r, the fitting formula is:
为了比较不同狭缝切口的应力集中系数的大小,对函数进行拟合,结果如图7所示, 由图可知,当t>r时,属于圆弧或椭圆切口;当t>r时,属于矩形或深V切口。在椭圆 狭缝透气砖中,由于t/r>>0.4时,椭圆切口的应力集中系数明显比圆弧切口小;当 t/r≈0.08时,圆弧切口应力集中系数最小;但是当t>r即属于矩形或深V切口(直角矩 形切口)时,其应力集中系数明显比椭圆或圆弧切口的应力集中系数要大。In order to compare the size of the stress concentration factor of different slit cuts, the function is fitted, and the result is shown in Figure 7. It can be seen from the figure that when t>r, it belongs to an arc or ellipse cut; when t>r, it belongs to Rectangular or deep V cut. In the elliptical slit breathable brick, the stress concentration factor of the elliptical cut is obviously smaller than that of the arc cut due to t/r>0.4; when t/r≈0.08, the stress concentration factor of the arc cut is the smallest; but when t> When r is a rectangular or deep V incision (right-angled rectangular incision), its stress concentration factor is significantly larger than that of an elliptical or circular arc incision.
在现实生活中,由于实际使用的需求,必须对一些材料进行开孔处理时,开孔边缘处的强度必然会低于原材料的强度,在开口处必然引起很大的应力,这种局部应力突然 增大的现象,就叫做应力集中。In real life, due to the needs of actual use, when some materials must be opened, the strength at the edge of the opening will inevitably be lower than the strength of the raw material, and a large stress will inevitably be caused at the opening. This local stress suddenly The phenomenon of increase is called stress concentration.
在炉外精炼过程中,透气砖的的损毁往往是造成冶炼成本增加的关键因素之一。精 炼过程中来自钢水的热冲击而造成的热应力是透气砖损毁的主要原因。为了进一步证明 椭圆切口比其他形状切口更能减少应力集中现象,针对不同孔型进行了单孔透气砖应力 的数值分析,结论如下:In the refining process outside the furnace, the damage of the breathable brick is often one of the key factors that increase the smelting cost. Thermal stress caused by thermal shock from molten steel during refining is the main reason for the damage of breathable bricks. In order to further prove that the elliptical incision can reduce the stress concentration phenomenon better than other shapes of incision, the numerical analysis of the stress of the single-hole ventilation brick is carried out for different hole types, and the conclusions are as follows:
透气砖几何模型直径R为600mm,高为400mm,矩形孔100mm*10mm,杨氏模 量为2*109Pa,泊松比为0.3。假设圆柱面受压10000Pa时,其y轴方向截面的正应力σx分布如图8所示,由该图可以看出透气砖在开口处的应力场和其他位置的应力明显不同, 而且就整个应力场而言,最大应力和最小应力都分布在开口处。The diameter R of the breathable brick geometric model is 600mm, the height is 400mm, the rectangular hole is 100mm*10mm, the Young's modulus is 2*10 9 Pa, and the Poisson's ratio is 0.3. Assuming that the cylindrical surface is under pressure of 10000Pa, the normal stress σ x distribution of its y-axis section is shown in Figure 8. From this figure, it can be seen that the stress field at the opening of the air-permeable brick is obviously different from the stress at other positions, and the whole In terms of the stress field, both the maximum stress and the minimum stress are distributed at the opening.
为了能更好的分析不同孔型的应力分布情况,量化容易造成损毁的因素,应力集中 系数成为了一个较好的选择。In order to better analyze the stress distribution of different hole types and quantify the factors that are likely to cause damage, the stress concentration factor becomes a better choice.
应力集中系数是指应力集中处最大应力值σmax与基准应力σn的比值,即:The stress concentration factor refers to the ratio of the maximum stress value σ max at the stress concentration point to the reference stress σ n , namely:
Kt,E=σmax/σn K t,E =σ max /σ n
它在一定程度上反映了某处的应力增高程度。基准应力的取值不同,得到的应力集 中系数也不同,这里取远离孔处截面上的应力作为基准应力。It partly reflects the degree of stress increase somewhere. The value of the reference stress is different, and the obtained stress concentration factor is also different. Here, the stress on the section away from the hole is taken as the reference stress.
由于在透气砖的应力场中不能较好的取基准应力,故不能更好的反馈不同孔型的应 力集中现象。于是通过微分思想,将在除吹氩阶段外的其他精炼过程的应力梯度方向无限微分,无限微分后得到的薄板温度均匀,只受到膨胀时两侧的挤压力作用。而若干个 不同温度的无限平板模型叠加可形成一个具有温度梯度的钢包透气砖模型。此文中只对 单一温度的薄板应力场进行模拟。Since the reference stress cannot be taken well in the stress field of the permeable brick, the stress concentration phenomenon of different hole types cannot be better fed back. Therefore, through the differential idea, the direction of the stress gradient in the refining process other than the argon blowing stage is infinitely differentiated, and the temperature of the sheet obtained after the infinite differentiation is uniform, and it is only affected by the extrusion force on both sides during expansion. The superposition of several infinite flat plate models with different temperatures can form a ladle breathable brick model with temperature gradient. In this paper, only the single-temperature sheet stress field is simulated.
利用有限元软件ANSYS对不同孔径形状的薄板进行了模拟,得出不同孔型下薄板的应力分布。参照图9,假设薄板两端均受到载荷10000Pa,薄板尺寸为50*30*0.2mm, 椭圆孔的尺寸a*b为5*2.5mm,方形孔的对角线长为10*5mm。边界条件:平板两面各 均匀施加压力q为10000Pa。模拟材料的物性参数为:杨氏模量为2*109Pa,泊松比为 0.3。网格采用四面体网格自动划分并对孔周围加密,得到的网格离散化结果如图10所 示,其中图10(1)为椭圆孔型,图10(2)为菱形孔型。The finite element software ANSYS is used to simulate the thin plate with different hole shapes, and the stress distribution of the thin plate under different hole shapes is obtained. Referring to FIG. 9 , assuming that both ends of the sheet are loaded with 10000Pa, the sheet size is 50*30*0.2mm, the size a*b of the oval hole is 5*2.5mm, and the diagonal length of the square hole is 10*5mm. Boundary conditions: The uniform pressure q on both sides of the plate is 10000Pa. The physical parameters of the simulated material are: Young's modulus is 2*10 9 Pa, and Poisson's ratio is 0.3. The mesh is automatically divided by tetrahedral mesh and refined around the hole. The obtained mesh discretization result is shown in Figure 10, in which Figure 10(1) is an elliptical hole type, and Figure 10(2) is a diamond hole type.
由图11和图12可以看出,椭圆孔薄板的应力最值在椭圆孔长短轴的边缘,沿轴方向逐渐变化。参照图13和图14,与椭圆孔的应力场分布类似,方形孔薄板的应力最值 在孔的尖角处,沿轴方向逐渐变化。It can be seen from Figure 11 and Figure 12 that the maximum stress of the elliptical hole thin plate is at the edge of the long and short axes of the elliptical hole, and it gradually changes along the axis direction. Referring to Fig. 13 and Fig. 14, similar to the stress field distribution of the elliptical hole, the stress maximum value of the square hole sheet is at the sharp corner of the hole and gradually changes along the axial direction.
为了能更好的反映整个应力的变化,假设应力分析路径如图15所示。由图16可以看出,沿孔的x轴正方向的正应力σx逐渐减小至q0,离孔越近其压应力越大;在相同x 处,方形孔薄板拉应力明显比椭圆孔的拉应力大,在孔的边缘其压应力迅速变为拉应力; 且离孔越近其斜率越大,这说明其应力集中系数越大。由图17可以看出,沿孔的y轴 正方向的压应力逐渐减小,离孔越近其压应力越大,而且方形孔在近孔处其应力变化较 大,说明此处应力集中系数大于椭圆孔应力集中系数;在相同y处,方形孔的薄板压应 力要大于椭圆孔的薄板的压应力;在孔边缘时,方形孔的压应力达到最大值50297Pa, 椭圆孔的压应力为23121Pa。由图18所示,沿x轴方向,椭圆孔薄板等效应力小于方形 孔薄板,在趋近于薄板边缘处等效应力相等;在距离原点0.006m处,不同孔形薄板都 存在应力突变。由图19所示,沿y轴方向,椭圆孔薄板等效应力小于方形孔薄板,在 趋近于薄板边缘处等效应力相等;在近孔处,方形孔薄板应力变化大于椭圆孔。In order to better reflect the change of the entire stress, it is assumed that the stress analysis path is shown in Figure 15. It can be seen from Figure 16 that the normal stress σ x along the positive direction of the x-axis of the hole gradually decreases to q 0 , and the compressive stress increases as it is closer to the hole; at the same x , the tensile stress of the square hole sheet is significantly higher than that of the elliptical hole. The tensile stress is large, and the compressive stress rapidly becomes the tensile stress at the edge of the hole; and the closer to the hole, the greater the slope, which means the greater the stress concentration factor. It can be seen from Figure 17 that the compressive stress along the positive direction of the y-axis of the hole gradually decreases, and the compressive stress increases as it is closer to the hole, and the stress of the square hole changes more near the hole, indicating that the stress concentration factor here is is greater than the stress concentration factor of the elliptical hole; at the same y, the compressive stress of the sheet with the square hole is greater than that of the sheet with the elliptical hole; at the edge of the hole, the compressive stress of the square hole reaches the maximum value of 50297Pa, and the compressive stress of the elliptical hole is 23121Pa . As shown in Figure 18, along the x-axis direction, the equivalent stress of the elliptical hole thin plate is smaller than that of the square hole thin plate, and the equivalent stress is equal near the edge of the thin plate; at a distance of 0.006m from the origin, there are stress abrupt changes in different hole-shaped thin plates. As shown in Figure 19, along the y-axis direction, the equivalent stress of the elliptical hole thin plate is smaller than that of the square hole thin plate, and the equivalent stress is equal near the edge of the thin plate; near the hole, the stress change of the square hole thin plate is greater than that of the elliptical hole.
应力集中系数:Stress Concentration Factor:
σn=σc=-10000Paσ n =σ c =-10000Pa
通过上述数值模拟实验以及公式Kt,E=σmax/σn可知,椭圆孔的X方向正应力集中系数如下表所示:From the above numerical simulation experiments and the formula K t,E =σ max /σ n , it can be known that the normal stress concentration factor of the elliptical hole in the X direction is shown in the following table:
表2不同孔型的应力集中系数Table 2 Stress concentration factors of different hole types
由上述实验数据可以得出以下结论:From the above experimental data, the following conclusions can be drawn:
(1)当材料在处于相同载荷条件下,与方形孔相比,椭圆孔的应力集中系数较小;(1) When the material is under the same load condition, the stress concentration factor of the elliptical hole is smaller than that of the square hole;
(2)当材料存在孔时,其孔附近的应力场梯度较大,相同位置时,椭圆孔的应力 比方形孔的应力小;(2) When there is a hole in the material, the stress field gradient near the hole is larger, and at the same position, the stress of the elliptical hole is smaller than that of the square hole;
(3)椭圆孔材料的最大应力一般处于椭圆孔长短轴边缘;方形孔材料的最大应力处于尖角处。(3) The maximum stress of the elliptical hole material is generally at the edge of the long and short axes of the elliptical hole; the maximum stress of the square hole material is at the sharp corner.
因此,本发明提供的一种狭缝式钢包透气砖,能够均匀透气砖的热应力分布、减少狭缝处的热应力集中现象,从而减少裂纹的产生和扩展甚至是断裂,增强透气砖的热机 械性能,延长透气砖的使用寿命。Therefore, the slit-type ladle breathable brick provided by the present invention can uniformly distribute the thermal stress of the breathable brick and reduce the thermal stress concentration phenomenon at the slit, thereby reducing the generation and expansion of cracks or even breaking, and enhancing the thermal stress of the breathable brick. Mechanical properties, prolong the service life of breathable bricks.
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