基于塑性应变能密度的钢筋混凝土墩柱损伤准则

doi:10.13229/j.cnki.jdxbgxb20171242

Abstract

Abstract:

A damage model for accurate evaluation of the cross section damage of reinforced concrete pier under dynamic load is established. First, the damage criterion of plastic strain energy density is deduced. Then, the performance level of reinforced concrete pier is established based on the condition of crack propagation. The correspondence relationship between damage index and performance level is determined through analyzing the dynamic damage of 33 quasi-static test model of reinforced concrete pier by the software of ABAQUS, and the evaluation model of the cross section damage of reinforced concrete pier under dynamic load is quantified. Finally, the Support Vector Machine algorithm is used to predict the normalized parameters of the plastic strain energy density damage criterion. The accuracy and applicability of the plastic strain energy density damage criterion and the Support Vector Machine algorithm which were used to analyze the cross section damage of the reinforced concrete pier are verified by numerical examples.

Key words: bridge engineering, plastic strain energy density, dynamic failure criterion, damage index, support vector machine algorithm, normalized parameter

CLC Number:

TU375.3

Jin⁃gang ZHAO,Ming ZHANG,Yu⁃lin ZHAN,Ming⁃zhi XIE. Damage criterion of reinforced concrete pier based on plastic strain energy density[J].Journal of Jilin University(Engineering and Technology Edition), 2019, 49(4): 1124-1133.

Figures/Tables 13

Fig. 1

Fig. 2

Table 1

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Table 2

Evaluation criteria of cross section damage"

性能水平	基本完好	轻微破损	中等破坏	严重破坏
损伤指数	$D i j ≤ 0.2$	$0.2 < D i j ≤ 0.5$	$0.5 < D i j ≤ 0.7$	$D i j > 0.7$

Table 2

Table 3

Fig.7

Fig. 8

Table 4

Elevation criteria of Park-Ang damage model"

损伤等级	基本完好	轻微破坏	中等破坏	严重破坏	倒塌
$D$	0.0~0.4（可修复的破坏）			0.4~1.0（不可修复的破坏）	>1.0

Table 4

Table 5

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性能水平	破损等级	修复程度描述
基本完好	无明显裂缝出现	无需修复
轻微破损	出现明显裂缝，但可暂时使用	轻微修复
中等破坏	保护层混凝土出现贯通裂缝、剥落	大量修复
严重破坏	核心区混凝土破损严重、出现贯通裂缝、纵筋屈曲或箍筋断裂	需要替换

编号	混凝土强度/MPa	箍筋强度/MPa	纵筋强度/MPa	截面尺寸/mm	配筋率	配箍率	轴压比	跨高比	最大加载幅值/m
L1	24.8	325.0	362.0	400×400	0.014	0.007	0.032	4.00	0.082
C1?1	24.9	459.5	497.0	400×400	0.021	0.016	0.113	3.50	0.102
C2?2	27.1	459.5	497.0	400×400	0.021	0.015	0.156	3.50	0.119
C2?3	26.8	459.5	497.0	400×400	0.021	0.015	0.210	3.50	0.115

编号	塑性应变能密度损伤准则	Park?Ang损伤模型
L1	0.96	0.90
C1?1	4.24	4.10
C2?2	4.94	8.04
C2?3	3.53	9.45
C3?1	4.42	5.17
C3?3	3.53	10.32
Test1	5.51	3.04
Test2	1.42	1.53
Test6	1.41	1.66

Damage criterion of reinforced concrete pier based on plastic strain energy density

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