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Optimal kinematics for finite elements with smeared-embedded discontinuity
Wu, J.Y.; Cervera Ruiz, Miguel
Universitat Politècnica de Catalunya. Departament de Resistència dels Materials i Estructures en Enginyeria; Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus
In this paper an optimal kinematics for finite elements with smeared non-uniform discontinuity/crack is proposed to eliminate the spurious stress transfer across a fully softened crack (i.e. stress locking). We first present the optimal kinematics of the finite elements with embedded non-uniform displacement jumps. It is found that, if the regularization bandwidth of the strong discontinuity reaches a critical value, i.e. the so-called consistent characteristic length of an element, the concept of classical smeared crack model is recovered. The optimal definition of the smeared cracking (inelastic) strain is then established such that the stress locking is completely removed. Finally, a constant stress triangle with a non-uniform discontinuity is analytically solved. The prediction shows that finite elements with the proposed kinematics can capture the expected stress and strain states even if a smeared crack model is used.
Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures::Càlcul d'estructures
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
Kinematics--Mathematics
Consistent characteristic length
Embedded discontinuity
Finite element
Non-uniform discontinuity modes
Smeared crack
Stress locking
Cinemàtica
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