G
Ic
est
—estimated value of mode I fracture toughness.
h—thickness of DCB specimen.
L—length of DCB specimen.
L'—horizontal distance from the center of loading-block pin
hole to edge of the loading block.
m—slope of plot of log(C/N) versus log(a).
N—large displacement and loading block correction factor.
n—number of specimens tested.
P—applied load.
P
c
—critical force for mode I fracture.
P
max
—maximum applied force during DCB test.
P
5%
—applied force at which the specimen compliance has
increased by 5 %.
r
2
—correlation coefficient of linear fit of log(C/N) versus
log(a).
S
n-1
—sample standard deviation.
t—vertical distance from the center of the pin hole to the
midplane of the specimen arm.
U—elastic strain energy in the specimen.
V
f
—fiber volume fraction, in percent.
x¯—sample mean (average).
x
i
—measured or derived property.
δ—load point displacement.
δ
c
—critical load point displacement for mode I fracture.
δ
NL
—load point displacement containing the initial nonlin-
earity associated with fixture.
∆—effective delamination extension to correct for rotation
of DCB arms at delamination front.
∆
x
—incremental change in log(a).
∆
y
—incremental change in log(C/N).
4. Summary of Test Method
4.1 The DCB specimen shown in Fig. 1 consists of a
rectangular, uniform thickness, unidirectional laminated com-
posite specimen containing a preimplanted non-adhesive insert
on the midplane that serves as a delamination initiator. Open-
ing forces are applied to the DCB specimen by means of hinges
(Fig. 1a) or loading blocks (Fig. 1b) bonded to the delaminated
end of the specimen. The arms of the DCB specimen are
opened by controlling either the opening displacement or the
vertical crosshead movement, while the force and delamination
length are recorded.
4.2 A record of the applied force versus opening displace-
ment is recorded on an X-Y recorder, or equivalent real-time
plotting device or stored digitally and postprocessed. Instanta-
neous delamination front locations are marked on the chart at
intervals of delamination growth. The mode I interlaminar
fracture toughness, G
Ic
, is calculated using the compliance
calibration (CC) method. The test method provides a non-
precracked (NPC) value of G
Ic
calculated for delamination
growth initiating from the preimplanted insert, and a pre-
cracked (PC) value of G
Ic
calculated after the delamination has
been previously advanced from the preimplanted insert.
5. Significance and Use
5.1 Susceptibility to delamination is one of the major design
concerns for many advanced laminated composite structures.
Knowledge of a laminated composite material’s resistance to
interlaminar fracture is useful for product development and
material selection. Furthermore, a measurement of the mode I
interlaminar fracture toughness that is independent of specimen
geometry or method of force introduction is useful for estab-
lishing design allowables used in damage tolerance analyses of
composite structures. Knowledge of both the non-precracked
and precracked toughness allows the appropriate value to be
used for the application of interest.
5.2 This test method can serve the following purposes:
5.2.1 To establish quantitatively the effect of fiber surface
treatment, local variations in fiber volume fraction, and pro-
cessing and environmental variables on G
Ic
of a particular
composite material;
5.2.2 To compare quantitatively the relative values of G
Ic
for composite materials with different constituents;
5.2.3 To compare quantitatively the values of G
Ic
obtained
from different batches of a specific composite material, for
example, to use as a material screening criterion or to develop
a design allowable; and
5.2.4 To develop delamination failure criteria for composite
damage tolerance and durability analyses.
6. Interferences
6.1 Linear elastic behavior is assumed in the calculation of
Gused in this method. This assumption is valid when the zone
of damage or nonlinear deformation at the delamination front,
or both, is small relative to the smallest specimen dimension,
which is the thickness for the DCB specimen.
6.2 In the DCB test, as the delamination grows from the
insert, a resistance-type fracture behavior typically develops
where G
Ic
first increases monotonically, and then stabilizes
with further delamination growth. In this test method, a
resistance curve (R-curve) depicting G
Ic
as a function of
delamination length may be generated (Fig. 3). The R-curve
may be used to characterize propagation of a delamination in a
unidirectional specimen, or it can be used to normalize the
maximum cyclic G
I
values in mode I fatigue propagation tests
FIG. 3 Schematic of the Delamination Resistance Curve (R-curve)
for a Typical DCB Test
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GIc
est—模式I断裂韧性的估计值。
h—DCB试样的厚度。
L—DCB试样的长度。
L'—加载块销钉中心到加载块边缘的水平距离。
孔到加载块边缘。
m—log(C/N)与log(a)关系图的斜率。
N—大位移和加载块修正系数。
n—测试试样的数量。
P—施加的载荷。
Pc—I型断裂的临界力。
Pmax—DCB测试期间施加的最大力。
P5%—试样合规性增加5%时的施加力。
r2—线性拟合log(C/N)与log(a)的相关系数
log(a).
Sn-1—样本标准偏差。
t—针孔中心到样品臂中平面的垂直距离。
U—样品中的弹性应变能。
Vf—纤维体积分数,以百分比表示。
x¯—样本均值(平均)。
xi—测量或派生属性。
δ—载荷点位移。
δc—I型断裂的临界载荷点位移。
δNL—包含与夹具相关的初始非线性的载荷点位移。
∆—有效脱粘扩展以校正脱粘前沿DCB臂的旋转。
∆x—对数(log(a))的增量变化。
∆y—对数(log(C/N))的增量变化。
4.测试方法总结
4.1图1所示的DCB试样由一个矩形、均匀厚度、单
向层压复合材料试样组成,其中在中间平面有一个预植入
的非粘合插入物,用作分层起始点。通过连接到试样分层
端的铰链(图1a)或加载块(图1b)对DCB试样施加开
合力。通过控制开合位移或垂直十字头运动来打开DCB试
样的臂,同时记录力和分层长度。
4.2应用力与开裂数据记录在X‑Y记录仪上,或等效
的实时绘图设备中,或以数字形式存储并进行后处理。分
层剥离开裂前沿位置以分层生长间隔在图表上标记。I型
层间断裂韧性, GIc,使用合规校准(CC)方法计算。该
测试方法提供从预植入插销处开始分层生长的非预裂纹
(NPC)值 GIc ,以及分层已从预植入插销处先前推进
后的预裂纹(PC)值 GIc 。
5.意义和应用
5.1对于许多先进层合复合材料结构,分层剥落倾向
是主要的设计关注点之一。了解层合复合材料材料的抗
层间断裂对产品开发和材料选择有用。此外,一种与试样
几何形状或施力方法无关的I型层间断裂韧性测量对于建
立用于复合材料结构损伤容限分析的许用值很有用。了解
非预裂纹和预裂纹韧性,允许为所需应用使用适当值。
5.2该测试方法可用于以下目的:
5.2.1为了定量地建立纤维表面处理、纤维体积分数的
局部变化以及工艺和环境变量对特定复合材料GIc 的影响;
5.2.2为了定量地比较具有不同组分的复合材料的 GIc的相对值;
5.2.3为了定量地比较从不同批次获得的特定复合材
料的GIc 的值,例如,用作材料筛选标准或开发设计允许
值;和
5.2.4为了开发复合材料的分层失效判据,用于损伤容限和耐久
性分析。
6.干扰
6.1计算中假设为线性弹性行为。
该方法中使用的G。当损伤区或分层前沿的非线性变形区,
或两者,相对于最小试样尺寸(对于DCB试样是厚度)
较小,此假设有效。
6.2在DCB测试中,当分层从插入件开始扩展时,电
阻型断裂行为通常会发展,其中 GIc 首先单调增加,然后
随着分层的进一步扩展而稳定。在这种测试方法中,可以
生成一个描绘 GIc 作为分层长度函数的电阻曲线(R曲线)
(图3)。R曲线可用于表征单向试样中分层的扩展,或用
于归一化I型疲劳扩展试验中的最大循环GI值
图3典型DCB试验的分层抗力曲线(R‑curve)示意图
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