The mechanical behaviour of joints plays a key role in concrete dam engineering since the joint is the weakest point in the structure and therefore the evolutionary crack process occurring along this line determines the global load bearing capacity. The reference volume involved in the above mentioned process is so large that it cannot be tested in a laboratory: a numerical model is needed. The use of the asymptotic expansions proposed by Karihaloo and Xiao 2008 at the tip of a crack with normal cohesion and Coulomb friction can overcome the numerical difﬁculties that appear in large scale problems when the Newton-Raphson procedure is applied to a set of equilibrium equations based on ordinary shape functions (Standard Finite Element Method). In this way it is possible to analyse problems with friction and crack propagation under the constant load induced by hydromechanical coupling. For each position of the ﬁctitious crack tip, the condition K1 = K2 = 0 allows us to obtain the external load level and the tangential stress at the tip. If the joint strength is larger than the value obtained, the solution is acceptable, because the tensile strength is assumed negligible and the condition K1 = 0 is sufﬁcient to cause the crack growth. Otherwise the load level obtained can be considered as an overestimation of the critical value and a special form of contact problem has to be solved along the ﬁctitious process zone. For the boundary condition analysed (ICOLD benchmark on gravity dam model), after an initial increasing phase, the water lag remains almost constant and the maximum value of load carrying capacity is achieved when the water lag reaches its constant value.

Analysis of the dam-foundation joint through the cohesive frictional crack model / Barpi, Fabrizio; Valente, Silvio. - ELETTRONICO. - (2010), pp. 276-282. (Intervento presentato al convegno Fracture Mechanics of Concrete and Concrete Structures tenutosi a Jeju Island (Korea) nel 23-28 May, 2010).

### Analysis of the dam-foundation joint through the cohesive frictional crack model

#### Abstract

The mechanical behaviour of joints plays a key role in concrete dam engineering since the joint is the weakest point in the structure and therefore the evolutionary crack process occurring along this line determines the global load bearing capacity. The reference volume involved in the above mentioned process is so large that it cannot be tested in a laboratory: a numerical model is needed. The use of the asymptotic expansions proposed by Karihaloo and Xiao 2008 at the tip of a crack with normal cohesion and Coulomb friction can overcome the numerical difﬁculties that appear in large scale problems when the Newton-Raphson procedure is applied to a set of equilibrium equations based on ordinary shape functions (Standard Finite Element Method). In this way it is possible to analyse problems with friction and crack propagation under the constant load induced by hydromechanical coupling. For each position of the ﬁctitious crack tip, the condition K1 = K2 = 0 allows us to obtain the external load level and the tangential stress at the tip. If the joint strength is larger than the value obtained, the solution is acceptable, because the tensile strength is assumed negligible and the condition K1 = 0 is sufﬁcient to cause the crack growth. Otherwise the load level obtained can be considered as an overestimation of the critical value and a special form of contact problem has to be solved along the ﬁctitious process zone. For the boundary condition analysed (ICOLD benchmark on gravity dam model), after an initial increasing phase, the water lag remains almost constant and the maximum value of load carrying capacity is achieved when the water lag reaches its constant value.
##### Scheda breve Scheda completa Scheda completa (DC)
2010
9788957081808
File in questo prodotto:
Non ci sono file associati a questo prodotto.
##### Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11583/2372446`
##### Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo