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林业科学 ›› 2026, Vol. 62 ›› Issue (9): 187-197.doi: 10.11707/j.1001-7488.LYKX20250726

• 研究论文 • 上一篇    

实测与有限元法分析节子对木材顺纹抗压性能的影响

陈瑞瑶1,王钱晴1,郝文静1,蒋宇萌2,董利虎2,苗铮2,江京辉1,*()   

  1. 1. 中国林业科学研究院木材工业研究所 北京 100091
    2. 东北林业大学 哈尔滨 150040
  • 收稿日期:2025-12-03 修回日期:2026-03-10 出版日期:2026-09-10 发布日期:2026-09-16
  • 通讯作者: 江京辉 E-mail:jiangjh@caf.ac.cn
  • 基金资助:
    国家重点研发计划青年科学家项目(2022YFD2201800)。

Effects of Knots Measured and Analyzed by Finite Element Method on Longitudinal Compression Performance of Wood

Ruiyao Chen1,Qianqing Wang1,Wenjing Hao1,Yumeng Jiang2,Lihu Dong2,Zheng Miao2,Jinghui Jiang1,*()   

  1. 1. Research Institute of Wood Industry, Chinese Academy of Forestry Beijing 100091
    2. Northeast Forestry University Harbin 150040
  • Received:2025-12-03 Revised:2026-03-10 Online:2026-09-10 Published:2026-09-16
  • Contact: Jinghui Jiang E-mail:jiangjh@caf.ac.cn

摘要:

目的: 探究节子对红松和长白落叶松木材顺纹抗压强度的影响规律,并建立预测模型,为木结构安全设计提供理论依据。方法: 顺纹抗压试样尺寸为40 mm(径向)×40 mm(弦向)×100 mm(长度),尽量将尺寸最大的节子置于试样中间。依据GB/T 29897—2013测量节子尺寸和体积比,参照GB/T 28993—2012开展顺纹抗压试验,根据ASTM D143—25记录试样的破坏类型;基于实际试样尺寸的二分之一对称模型进行有限元模拟,含死节试样采用表面?表面硬接触以模拟界面分离和滑移,含活节试样采用共节点连接以反映纤维连续性;应用流线理论模拟节子周围木材纤维的复杂偏转行为,预测含节试样的顺纹抗压强度。结果: 1) 红松有节材试样(均为单节活节)平均顺纹抗压强度为20.49±4.69 MPa,较无节材(26.84±4.82 MPa)降低23.66%;长白落叶松有节材试样(均为单节活节)平均顺纹抗压强度为30.68±5.82 MPa,较无节材(41.58±8.29 MPa)降低26.21%。在破坏类型方面,无节材均以Ⅲ型和Ⅵ型破坏为主;有节材则以Ⅲ型破坏为主,并出现Ⅲ与Ⅵ型混合破坏类型。2) 红松有节材试样中,节子尺寸实测范围为0.10~33.00 mm,分为3个等级,分别为T1(0.10~4.00 mm)、T2(4.00~10.00 mm)和T3(10.00~33.00 mm),每个等级平均顺纹抗压强度分别为22.39、20.86和17.87 MPa,T3组与T1和T2组之间存在显著性差异(P1,3<0.001,P2,3=0.021<0.05)。长白落叶松有节材试样中,节子尺寸实测范围为0.18~18.75 mm,分为3个等级,分别为T4(0.18~4.00 mm)、T5(4.00~10.00 mm)和T6(10.00~18.75 mm),每个等级平均顺纹抗压强度分别为35.35、28.59和26.22 MPa,T4组与T5和T6组之间存在显著性差异(P4,5=0.001<0.05,P4,6<0.001)。节子体积比对顺纹抗压强度的影响规律与节子尺寸的影响规律呈现一致性。3) 红松和长白落叶松试样节子附近纹理偏转角度与顺纹抗压强度的决定系数(R2)分别为0.823 99和0.830 56,线性拟合方程斜率分别为?0.263 34和?0.345 01。4) 在预测模型中,含死节试样的破坏类型表现为沿死节与基材之间界面发生开裂,且随着死节附近纹理偏转角度增加,裂纹逐渐偏离顺纹方向;含活节试样的破坏类型取决于活节与基材之间弹性模量(MOE)差异。结论: 节子的存在显著降低红松和长白落叶松木材顺纹抗压强度,且出现混合破坏类型。节子尺寸和体积比增大会降低木材顺纹抗压强度,其中长白落叶松木材顺纹抗压强度呈现出更大的下降趋势。红松和长白落叶松木材节子附近纹理偏转角度与顺纹抗压强度均呈负相关,长白落叶松木材顺纹抗压强度随着节子附近纹理偏转角度增加而降低的幅度更为显著。死节和活节导致木材破坏机制不同,含死节试样的破坏主要发生在死节与基材之间界面,且裂纹方向受纹理偏转影响;含活节试样的破坏类型取决于活节与基材之间弹性模量相对大小。

关键词: 节子, 顺纹抗压强度, 破坏类型, 实测法, 有限元分析法

Abstract:

Objective: This study aims to explore the influence patterns of knots on the longitudinal compressive strength of Pinus koraiensis and Larix olgensis, and establish a predictive model, so as to provide a theoretical basis for the safety design of timber structures. Method: The size of the longitudinal compressive strength specimens was 40 mm (radial) × 40 mm (tangential) × 100 mm (longitudinal), with the largest knot positioned in the middle of the specimen as much as possible. Knot size and volume ratios were measured in accordance with GB/T 29897—2013. Longitudinal compression tests were performed following GB/T 28993—2012, and specimen failure modes were recorded according to ASTM D143—25. Based on the actual specimen size, a half symmetrical model was used for finite element simulation. The specimens with dead knots were subjected to surface-to-surface hard contact to simulate interface separation and slippage, while the specimen with live knots was subjected to shared-node connections to reflect fiber continuity. The stream line approach was used to simulate the complex deflection behavior of wood fibers around knots and predict the longitudinal compressive strength. Result: 1) The average longitudinal compressive strength of Pinus koraiensis specimens with knots (all single live knots) was 20.49±4.69 MPa, which was 23.66% lower than that of the specimens without knots (26.84±4.82 MPa). The average longitudinal compressive strength of Larix olgensis specimens with knots (all single live knots) was 30.68±5.82 MPa, which was 26.21% lower than that of the specimens without knots (41.58±8.29 MPa). In terms of failure types, knot-free wood predominantly exhibited type Ⅲ and type Ⅵ failures, while knotted wood mainly showed type Ⅲ failures, along with mixed failure types combining type Ⅲ and type Ⅵ. 2) In Pinus koraiensis specimens with knots, the measured knot sizes ranged from 0.10 to 33.00 mm, divided into three grades: T1 (0.10?4.00 mm), T2 (4.00?10.00 mm), T3 (10.00?33.00 mm). The average longitudinal compressive strengths were 22.39, 20.86, and 17.87 MPa, respectively. There were significant differences in the longitudinal compressive strengths between T3 and both T1 and T2 (P1,3<0.001, P2,3=0.021<0.05). In knotty Larix olgensis specimens, the measured knot sizes ranged from 0.18 to 18.75 mm, divided into three grades: T4 (0.18?4.00 mm), T5 (4.00?10.00 mm), T6 (10.00?18.75 mm), with average strengths of 35.35, 28.59, and 26.22 MPa, respectively. There were significant differences in the longitudinal compressive strengths between T4 and both T5 and T6 (P4,5=0.001<0.05, P4,6<0.001). The influence of knot volume ratios on longitudinal compressive strength followed the same trend as knot size. 3) The coefficient of determination (R2) between the grain deflection angle near knots and the longitudinal compressive strength was 0.82399 for P. koraiensis and 0.83056 for L. olgensis. The slopes of the linear regression equations were ?0.26334 and ?0.34501, respectively. 4) In the predictive model, the failure type of specimens containing dead knots was manifested as cracking along the knot-matrix interface, and as the grain deflection angle near dead knots increased, the crack gradually deviated from the straight-grain direction. the failure type of specimens containing live knots depended on the modulus of elasticity (MOE) difference between knot and the wood matrix. Conclusion: The presence of knots significantly reduces the longitudinal compressive strength of both P. koraiensis and L. olgensis and leads to mixed failure modes. The increase in the knot size and volume ratio reduces longitudinal compressive strength, with L. olgensis exhibiting a more pronounced decline. Fiber deflection angle near knots shows a negative correlation with longitudinal compressive strength for both species. The longitudinal compressive strength of L. olgensis decreases more significantly as the grain deflection angle near knots increases. The failure mechanisms induced by dead knots and live knots are distinct. In specimens with dead knots, failure primarily occurs at the interface between the dead knot and the wood matrix, and the crack direction is influenced by grain deflection. In specimens with live knots, the failure mode depends on the relative magnitude of the MOE between the live knot and the wood matrix.

Key words: knot, longitudinal compressive strength, type of failure, experimental method, finite element method

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