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Knowing the modulus is not good enough. LDPE behaves non-linearly and inelastically in large deformations, so the OP must be able to describe the large-deformation inelastic response of the material. In addition, knowing this response is not sufficient for defining the failure behavior of the material. That is an entirely different functionality involving the invariants of the stress tensor.osilmag said:
In my judgment, you are grossly underestimating the complexity of this problem. This involves the large-deformational solid mechanics behavior of a highly non-linear material experiencing an extremely complex concentrated contact loading. The rheological behavior of the material must be described by much more than just a modulus, or even a modulus and Poisson's ratio, and the response will not even be purely elastic. Just the job of experimentally quantifying the rheological constitutive behavior of the material for an arbitrary general deformation (using simpler deformational kinematics) would be quite daunting. Even if this behavior were quantified experimentally using appropriate rheological constitutive equations, the analysis of the deformation and stresses in this very complicated loading problem would be mathematically complicated, and would require the use of finite element computational software to solve.osilmag said:
When piercing a plastic piece, there are two main types of forces involved: compressive forces and shear forces. Compressive forces are responsible for pushing the piercing tool into the plastic, while shear forces are responsible for cutting through the plastic material.
The thickness of the plastic piece plays a significant role in the piercing process. Thicker plastic pieces require more force to pierce through, and the piercing tool may need to be sharper to achieve the desired result. Additionally, thicker plastic pieces may also require more heat to soften the material, making it easier to pierce through.
Temperature can greatly impact the physics behind piercing a plastic piece. Heating the plastic can make it more malleable, reducing the amount of force needed to pierce through it. On the other hand, cooling the plastic can make it more brittle, making it easier to fracture or break during the piercing process.
The shape of the piercing tool can greatly impact the physics behind piercing a plastic piece. A sharper and narrower tool will require less force to pierce through the plastic, while a duller and wider tool may require more force. Additionally, the shape of the tool can also affect the direction and angle at which the force is applied, which can impact the success of the piercing process.
In addition to the above factors, it is important to consider the type and properties of the plastic being pierced. For example, some plastics may be more brittle or harder to pierce through than others. It is also important to consider the size and location of the piercing, as well as the overall design and structure of the plastic piece.
