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This is because the loading time is slow enough that the acceleration effects are negligible.For more time-dependent and time-independent examples, there are several projects in the Sim Scale Public Projects database.
For large models, inverting the matrix is highly expensive and will require advanced iterative solvers (over standard direct solvers).
Sometimes, this is also known as the backward Euler integration scheme.
Inversion of a diagonal matrix is straightforward and includes inversion of the terms on the diagonal only.
Once the accelerations are calculated at the nth step, the velocity at n 1/2 step and displacement at n 1 step are calculated accordingly.
This method subdivides the overall problem into simpler sub-issues that are easier to solve.
In turn, these sub-issues called finite elements require implicit and/or explicit analysis.
For all nonlinear and non-static analyses, incremental load (also known as displacement steps) are needed.
In more simplistic terminology, this means we need to break down the physics/time relationship to solve a mathematical problem.
Explicit FEM is used to calculate the state of a given system at a different time from the current time.
In contrast, an implicit analysis finds a solution by solving an equation that includes both the current and later states of the given system.