What Is Elastic Recoil?

The elastic force is called the elastic force when the elastic body is deformed due to external force. Deformation also exists inside the object, so there is an elastic force acting on each part inside the object. Elastic force has various names: when it is compressed with each other, it is called pressure, and the pressure perpendicular to the surface of the object is called normal pressure; when it is stretched with each other, it is called tension. The reaction force of the object to the normal pressure of the plane or bevel is called support force or reaction force, which is also pressure in essence.

Elastic objects have a restoring force after deformation due to external forces. Referred to as elasticity. Deformation also exists inside the object, so there is an elastic force acting on each part inside the object. Elastic force has various names: when it is compressed with each other, it is called pressure, and the pressure perpendicular to the surface of the object is called normal pressure; when it is stretched with each other, it is called tension. The reaction force of the object to the normal pressure of the plane or bevel, said

Elasticity is more about mathematics, seeking analytical solutions to some special problems, and often adopts the solution method in partial differential equations, which requires higher numbers. The elastic mechanics we mainly discuss is the mathematical method of elastic mechanics, which is to use mathematical analysis tools to establish the basic equations and basic theories of elastic mechanics, and to solve the elastic body according to the boundary conditions.

(1) Continuity, all physical quantities can use continuous functions, so that tools for mathematical analysis can be applied;

(2) Completely elastic, the physical relationship between stress and strain in the object can be used

Within the elastic body region, three sets of equations are established, taking into account the three aspects of statics, geometry and physics. That is, a balanced differential equation is established based on the equilibrium conditions of the differential body; a geometric equation is established based on the geometric relationship between deformation and displacement on the differential line segment; a physical equation is established based on the physical relationship between stress and deformation. In addition, boundary conditions must be established on the boundary of the elastomer. On the boundary of given surface force, the stress boundary condition is established according to the equilibrium condition of the differential body on the boundary; on the boundary of the given constraint, the displacement boundary condition is established according to the constraint condition on the boundary. Solve elasticity problems, that is, under the boundary conditions, solve the stress component, deformation component and displacement component according to the equilibrium differential equation, geometric equation, and physical equation.

In elastic mechanics, the normal stress is represented by , and a subscript letter is added to indicate the action surface and action direction of this normal stress; the shear stress is represented by , and two subscript letters are added. The previous letter indicates that the action surface is perpendicular to Which axis, the next letter indicates which axis the action direction is along. It is also stipulated that the stress acting on the front side is positive along the positive direction of the coordinate axis and negative along the negative direction of the coordinate axis. In contrast, the stress acting on the negative side is positive along the negative direction of the coordinate axis and negative along the positive direction of the coordinate axis.

The plane stress problem refers to a very thin, equal-thickness plate, which receives only surface forces parallel to the plate surface and does not change along the thickness on the edge of the plate. At the same time, physical force is also parallel to the plate surface and does not change along the thickness. The corresponding stress components are only x, y, xy. The plane strain problem refers to a very long cylindrical body. The cylindrical surface is subjected to a surface force that is parallel to the cross section and does not change along the length. At the same time, the physical force is also parallel to the cross section and does not change along the length. The corresponding displacement component is only u. And v. ^[1]