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Three-dimensional finite element formulation for concrete failure at high-energy impact loadings
In the present thesis a three-dimensional finite element formulation for concrete failure under high-energy impact loadings is presented. The formulation is based on the theoretical framework of continuum mechanics and irreversible thermodynamics. In order to obtain a non-unilateral contact/impact description, the spatial regions occupied by the bodies under collision are discretized with linear tetrahedral elements. The temporal discretization is traditionally conducted by finite difference method. During the time of contact, the contact constrains are satisfied with the Lagrange multiplier method adapted for the explicit time integration. The frictional behaviour on the contact interface is assumed to be of kinematic type described with the Coulomb friction model. At the numerical implementation level, the dissipative nature of friction forces is introduced via the relaxation of tangential displacement on the contact interface. The quantitative description of expected finite strains is conducted according to the Update Lagrange formulation of motion. Following the standard notations used in contact mechanics, the concrete body is denoted as target body and the body that transmits its kinetic energy, as the contractor body. The hyperelastic material model is used to define the constitutive behaviour of the contractor body. On the other hand, in order to simulate the mechanical behavior of the concrete body, the stress-strain relationship is carried out via the rate sensitive microplane material model with relaxed kinematic constraint (co-rotational formulation). It is important to note that the concrete strain rate effect can be particularly evidenced in impact loadings. Thus, to numerically replicate the concrete response in a realistically way, the strain rate effect is introduced by means of the energy activation theory of bond ruptures. For this purpose, the macroscopic strain measure is performed with the Green-Lagrange strain tensor. Damage and cracking phenomena are modeled within the concept of smeared ...
Three-dimensional finite element formulation for concrete failure at high-energy impact loadings
In the present thesis a three-dimensional finite element formulation for concrete failure under high-energy impact loadings is presented. The formulation is based on the theoretical framework of continuum mechanics and irreversible thermodynamics. In order to obtain a non-unilateral contact/impact description, the spatial regions occupied by the bodies under collision are discretized with linear tetrahedral elements. The temporal discretization is traditionally conducted by finite difference method. During the time of contact, the contact constrains are satisfied with the Lagrange multiplier method adapted for the explicit time integration. The frictional behaviour on the contact interface is assumed to be of kinematic type described with the Coulomb friction model. At the numerical implementation level, the dissipative nature of friction forces is introduced via the relaxation of tangential displacement on the contact interface. The quantitative description of expected finite strains is conducted according to the Update Lagrange formulation of motion. Following the standard notations used in contact mechanics, the concrete body is denoted as target body and the body that transmits its kinetic energy, as the contractor body. The hyperelastic material model is used to define the constitutive behaviour of the contractor body. On the other hand, in order to simulate the mechanical behavior of the concrete body, the stress-strain relationship is carried out via the rate sensitive microplane material model with relaxed kinematic constraint (co-rotational formulation). It is important to note that the concrete strain rate effect can be particularly evidenced in impact loadings. Thus, to numerically replicate the concrete response in a realistically way, the strain rate effect is introduced by means of the energy activation theory of bond ruptures. For this purpose, the macroscopic strain measure is performed with the Green-Lagrange strain tensor. Damage and cracking phenomena are modeled within the concept of smeared ...
Three-dimensional finite element formulation for concrete failure at high-energy impact loadings
Travaš, Vanja (Autor:in) / Ožbolt, Joško
01.01.2009
Hochschulschrift
Elektronische Ressource
Englisch
Three-dimensional finite element formulation for concrete failure at high-energy impact loadings
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