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3.Inthefirstpartofthecurveweseeanapproximatelylinearrelationshipbetweenstressandstrai...
3.In the first part of the curve we see an approximately linear relationshipbetween stress and strain. This is an expression of the linear elastic qualityof bone. Later the curve deviates from linearity, meaning that the region ofirreversible plastic deformation was reached, in which microcracks start toform. The stress value at which this occurs is called the yield strength of thematerial. The stress at which fracture eventually occurs is called the strengthor ultimate stress of the material. In the example. the yield strength is doseto the ultimate stress, which is usually so for bone in compression. The linearrelationship between stress and strain in the initial loading phase,
implyinglinear elastic behavior of bone, allows us to express strain as a function ofstress according to e = Q/S, where E is a material constant called theelastic modulus. Thus, if we know thestrain in an arbitrary region of the material, we can calculate the stress, andvice versa. The elastic modulus thus measures the stiffness of the material.Generally, there tends to be a correlation between strength and stiffness of amaterial; stiff materials are usually strong, while flexible materials areweak, as shown for bone 展开
implyinglinear elastic behavior of bone, allows us to express strain as a function ofstress according to e = Q/S, where E is a material constant called theelastic modulus. Thus, if we know thestrain in an arbitrary region of the material, we can calculate the stress, andvice versa. The elastic modulus thus measures the stiffness of the material.Generally, there tends to be a correlation between strength and stiffness of amaterial; stiff materials are usually strong, while flexible materials areweak, as shown for bone 展开
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大概意思如下:
曲线的第一部分表明应力应变近似为线性关系。这表明材料具有线弹性性质。之后,曲线偏离线性,即出现不可恢复的塑性变形区,微裂缝开始形成。裂缝最终出现时的应力称为材料的强度或材料的极限应力。该例中,屈服强度不属于极限应力,材料受压时通常如此。初始加载阶段,出现的应力应变线性关系,表明材料的线弹性行为可以按下式给出的应力函数表示应变:
E=Q/S,其中E称为弹性模量,是材料常数。因此,如果知道材料任意区域的应变,可以计算出应力,反之亦然。因此,弹性模量可以反映材料的刚度。通常,材料的强度与刚度具有以下关系::刚性材料强度高,柔性材料强度低。
曲线的第一部分表明应力应变近似为线性关系。这表明材料具有线弹性性质。之后,曲线偏离线性,即出现不可恢复的塑性变形区,微裂缝开始形成。裂缝最终出现时的应力称为材料的强度或材料的极限应力。该例中,屈服强度不属于极限应力,材料受压时通常如此。初始加载阶段,出现的应力应变线性关系,表明材料的线弹性行为可以按下式给出的应力函数表示应变:
E=Q/S,其中E称为弹性模量,是材料常数。因此,如果知道材料任意区域的应变,可以计算出应力,反之亦然。因此,弹性模量可以反映材料的刚度。通常,材料的强度与刚度具有以下关系::刚性材料强度高,柔性材料强度低。
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