论 三、与其他学科的关系: 理论力学:研究刚体的静、动力学(约束力、速度、 加速度)。 材料力学:研究杄状构件在拉、压、剪、弯、扭状态 下的应力和位移; 结构力学:研究杆系结构的内力与位移; 塑性力学:结构的塑性分析、设计; 弹性力学:一般平面问题、板、壳和实体结构等的 应力和位移分析
16 塑性力学：结构的塑性分析、设计； 三、与其他学科的关系： 材料力学：研究杆状构件在拉、压、剪、弯、扭状态 下的应力和位移； 理论力学：研究刚体的静、动力学（约束力、速度、 加速度）。 结构力学：研究杆系结构的内力与位移； 弹性力学：一般平面问题、板、壳和实体结构等的 应力和位移分析
s1-3 The Basic Assumption of the Elasticity In elasticity, doing some necessary assumptions under the premise that can satisfy the practical needing precision and making the problem solved The basic assumption of the elasticity: (1 Consecution assumption: Some physics measures inside the object for example stress, strain and displacement etc whose variety regulation may be denoted by continuous function in coordinate (2) Ideal elasticity assumption: supposing that the object is a ideal elastic body then the elastic body obey the hookes law---the stress becomes the direct proportation with homologous deformation And the elasticity constant doesnt change along with the variety of stress and deformation. (3) Even assumption: supposing the object be constituted by the same material, the elasticity of the object would not 17 change along with position coordinates change
17 §1-3 The Basic Assumption of the Elasticity In elasticity, doing some necessary assumptions under the premise that can satisfy the practical needing precision and making the problem solved. （1）Consecution assumption:Some physics measures inside the object, for example stress, strain and displacement etc.whose variety regulation may be denoted by continuous function in coordinate. （2）Ideal elasticity assumption: supposing that the object is a ideal elastic body,then the elastic body obey the Hooke’s law---the stress becomes the direct proportation with homologous deformation.And the elasticity constant doesn’t change along with the variety of stress and deformation. （3）Even assumption:supposing the object be constituted by the same material, the elasticity of the object would not change along with position coordinates change. The basic assumption of the elasticity：
论 §1-3弹性力学的基本假设 在弹性力学中,在满足实用所需精度的前提下做一些 必要的假设,使问题得以求解 弹性力学的基本假设为: (1)连续性假设:这样物体内的一些物理量,例如 应力、应变和位移等可用坐标的连续函数表示它们的变 化规律 (2)完全弹性假设:假定物体为完全弹性体,则 服从虎克定律一应力和相应的形变成正比,弹性常数 不随应力或形变的大小而变化 (3)均匀性假设:假定物体由同一材料组成,这 样物体的弹性不随位置坐标而变化。 18
18 §1-3 弹性力学的基本假设 在弹性力学中，在满足实用所需精度的前提下做一些 必要的假设，使问题得以求解。 （1）连续性假设：这样物体内的一些物理量，例如 应力、应变和位移等可用坐标的连续函数表示它们的变 化规律。 （2）完全弹性假设：假定物体为完全弹性体，则 服从虎克定律---应力和相应的形变成正比，弹性常数 不随应力或形变的大小而变化。 （3）均匀性假设：假定物体由同一材料组成，这 样物体的弹性不随位置坐标而变化。 弹性力学的基本假设为：