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Analytical Solution for Flexural Response of Epoxy Resin Materials

机译:环氧树脂材料弯曲响应的解析解

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A piecewise linear parametric uniaxial stress-strain approach has been used to obtain the closed form nonlinear moment curvature response on the basis of strain compatibility in bending for epoxy resin materials. The stress-strain curves, consisting of a bilinear ascending curve followed by strain softening and constant plastic flow in tension and compression, are described by two main parameters, with an additional five nondimensional tensile and seven nondimensional compressive parameters. The main parameters are the modulus of elasticity and strain at the proportional elastic limit point in tension. Parametric studies show that ultimate tensile stress and compressive yield stresses and tension and compression flow stresses have the highest effects on flexural load carrying capacity. Moment curvature equations, in conjunction with softening localization and static equilibrium conditions, were used to simulate the flexural load-deflection response of a beam under three-point bending (3PB) conditions. The simulations and experiments reveal that the direct use of uniaxial tensile and compressive stress-strain curves underestimates the flexural response caused by the stress gradient and the differences in the effective volume of the body subjected to critical stresses.
机译:分段线性参数单轴应力-应变方法已被用于基于环氧树脂材料在弯曲中的应变相容性来获得闭合形式的非线性弯矩曲率响应。应力-应变曲线由双线性上升曲线,应变软化以及在拉伸和压缩过程中的恒定塑性流动组成,由两个主要参数描述,另外还有五个无量纲拉伸和七个无量纲压缩参数。主要参数是在拉伸的比例弹性极限点处的弹性模量和应变。参数研究表明,极限拉伸应力和压缩屈服应力以及拉伸和压缩流应力对挠曲承载能力的影响最大。弯矩方程,结合软化局部化和静态平衡条件,被用来模拟梁在三点弯曲(3PB)条件下的挠曲载荷-挠度响应。仿真和实验表明,直接使用单轴拉伸和压缩应力-应变曲线会低估由应力梯度和承受临界应力的人体有效体积的差异引起的挠曲响应。

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