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An element with adaptive partitioning capabilities is designed such that it can be formulated as a master element, a refined element and a coarsened element, depending on the damage state in the progressive damage process.
While (A1) essentially follows from the triangle inequality and appropriate inverse estimates in practice, the reduction (A2) builds on the observation that the element sizes of the sons of a refined element uniformly decreases.
Suppose that there exists a contraction constant 0 < ρ refine < 1 (which depends only on T ), such that all successors T ^ ∈ T ^ of a refined element T ∈ T ∖ T ^ satisfy (8.1) | T ^ | ≤ ρ refine | T |.
The technical heart of the matter is a novel mesh-width function which is pointwise equivalent to the usual local mesh-width, but contractive on the entire patch of a refined element (Proposition 8.6).
Similar(56)
The quality of the optimum configurations is investigated, a posteriori, through a refined finite element model of the stiffened panel making use of elements with different kinematics and accuracy in the framework of the Carrera's Unified Formulation (CUF).
A new technique is proposed for developing refined element equations for structures for use in dynamic finite element analysis.
It is necessary to use a refined finite element model for an accurate analysis of a shear wall with openings.
The exact solution has been numerically validated by comparing the results with those obtained by a refined finite element simulation.
The estimates are compared with the results of a series of dynamic analyses of a refined finite element model of the beam, performed using LS-DYNA.
However, in many cases, when it is difficult to use the equivalent frame method, it is necessary to use a refined finite element model for an accurate analysis.
A refined finite element model has been developed to simulate the hysteresis behavior of bracing members under cyclic loading including fracture.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com