应力应变(力学第2讲).pdf
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Postgraduate course
Advanced Polymer Physics
LIU, Yinfeng
Dept Polym Mat’ls, Shanghai University
LIU Yinfeng Dept Polym Mater’ls, Shanghai University liuyf@shu.edu.cn 1
Chapter 5
Mechanical Properties of
High Polymer
LIU, Yinfeng
Dept Polym Mat’ls, Shanghai University
LIU Yinfeng Dept Polym Mater’ls, Shanghai University liuyf@shu.edu.cn 2
§5-1 Elasticity Mechanical
Behavior
回顾
LIU Yinfeng Dept Polym Mater’ls, Shanghai University liuyf@shu.edu.cn 3
§5-1 Elast. Mechanical Behavior
Mechanical Behavior of Polymers
Deformation
Elasticity
Viscosity
Visco-elasticity
Rupture
Brittle fraction
Ductile rupture
LIU Yinfeng Dept Polym Mater’ls, Shanghai University liuyf@shu.edu.cn 4
§5-2 Stress State Analysis
指物体内一点的应力状态
过一点不同面上应力的集合称为应力状态
LIU Yinfeng Dept Polym Mater’ls, Shanghai University liuyf@shu.edu.cn 5
§5-2 Stress State Analysis
Stress tensor
笛卡尔坐标系
xx xy xz zx xz
其中
ij yx yy yz yz zy
zx zy zz
yx xy
如果我们知道了一个给定点的6个应力分量,则作用于此点任一平面上的应力就能计算出来
LIU Yinfeng Dept Polym Mater’ls, Shanghai University liuyf@shu.edu.cn 6
S 和 (法向、切向分量)
N N s
x , y , z (坐标轴分量)
N N N
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