Computer Aided Engineering — 6-topic bundle

Here's a breakdown of the core steps involved in a typical FEA process:

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Here's how the formulation generally works:

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For 2D analysis, things simplify because we make assumptions about the stress or strain state. The two main types are plane stress and plane strain.

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• Steady-State Thermal Analysis: This assumes that temperatures aren't changing over time. Heat input equals heat output, and the system has reached equilibrium. Think of a heat sink that's been running for a long time at a constant power.
• Transient Thermal Analysis: This considers how temperatures change with time. It's used when things are heating up, cooling down, or experiencing fluctuating heat loads. For example, the warm-up cycle of an engine or a component undergoing a welding process.

Strain energy is the work done by external forces on a deformable body that's stored internally as potential energy due to elastic deformation. Think of it as the energy "absorbed" by the material when it's stressed or strained. When the load is removed, this energy can be recovered, assuming elastic deformation.

Instead of thinking about the total energy in a whole object, it's often more useful to think about strain energy density, which is the strain energy per unit volume. It's like asking, "how much energy is stored in a tiny cube of this material?"

When we talk about thermal element formulation, we're essentially developing the mathematical equations that describe heat transfer within a single, small piece of a material. This piece is our "element." The "stiffness" part then refers to how these elements resist (or conduct) heat flow.