Uncertainty quantification in the comparison of structural criterions of failure

Yasar Yanik (1) , Samuel da Silva (1) , Americo Cunha Jr (2)

1 UNESP - Universidade Estadual Paulista Júlio de Mesquita Filho = São Paulo State University
2 UERJ - Universidade do Estado do Rio de Janeiro [Brasil] = Rio de Janeiro State University [Brazil] = Université d'État de Rio de Janeiro [Brésil]

Uncertainty Quantification is a discipline which deals with the quantitative description and reduction of uncertainties in real world applications. It tries to find out how likely certain results are in a few parts of the system are not precisely known. Furthermore, failure theory is the investigation of predicting the circumstances under which solid materials under the processing of external loads. The Failure Theory is known as different failure criteria such as Von Mises and Tresca which are the most famous of these for certain materials. In this context, this paper is going to show a comparison between Tresca and Von Mises failure criterions, taking into account the underlying uncertainties in the constitutive equations and stress analysis.

Mots clés: uncertainty quantification; stress analysis; failure criterions; parametric probabilistivc approach; Monte Carlo method

Domaines: Probabilités [math.PR]; Statistiques [math.ST]; Mécanique des structures [physics.class-ph]; Mécanique des solides [physics.class-ph]; Génie mécanique [physics.class-ph]

Yasar Yanik, Samuel da Silva, Americo Cunha Jr. Uncertainty quantification in the comparison of structural criterions of failure. X Congresso Nacional de Engenharia Mecânica (CONEM 2018), May 2018, Salvador, Brazil. ⟨10.26678/ABCM.CONEM2018.CON18-1176⟩. ⟨hal-01811701⟩