“…This framework is in line with the works of Forest [7] and Miehe [8]. Kiefer et al [9] presented another approach for a coupling of gradient damage with inelasticity, and Sprave et al [10] computed complex boundary value problems based on a coupled gradient-enhanced damage formulation. For further, advanced concepts in the context of gradient damage, see, e.g., the work by Liu and Jeffers [11] and the references cited therein.…”
Section: Introductionsupporting
confidence: 71%
“…see (10) for the corresponding expression that is associated with an undamaged setting. Finally, the Piola-Kirchhoff stresses that fully incorporate viscous and damage effects take the form…”
The simulation of complex engineering components and structures under loads requires the formulation and adequate calibration of appropriate material models. This work introduces an optimisation-based scheme for the calibration of viscoelastic material models that are coupled to gradient-enhanced damage in a finite strain setting. The parameter identification scheme is applied to a self-diagnostic poly(dimethylsiloxane) (PDMS) elastomer, where so-called mechanophore units are incorporated within the polymeric microstructure. The present contribution, however, focuses on the purely mechanical response of the material, combining experiments with homogeneous and inhomogeneous states of deformation. In effect, the results provided lay the groundwork for a future extension of the proposed parameter identification framework, where additional field-data provided by the self-diagnostic capabilities can be incorporated into the optimisation scheme.
“…This framework is in line with the works of Forest [7] and Miehe [8]. Kiefer et al [9] presented another approach for a coupling of gradient damage with inelasticity, and Sprave et al [10] computed complex boundary value problems based on a coupled gradient-enhanced damage formulation. For further, advanced concepts in the context of gradient damage, see, e.g., the work by Liu and Jeffers [11] and the references cited therein.…”
Section: Introductionsupporting
confidence: 71%
“…see (10) for the corresponding expression that is associated with an undamaged setting. Finally, the Piola-Kirchhoff stresses that fully incorporate viscous and damage effects take the form…”
The simulation of complex engineering components and structures under loads requires the formulation and adequate calibration of appropriate material models. This work introduces an optimisation-based scheme for the calibration of viscoelastic material models that are coupled to gradient-enhanced damage in a finite strain setting. The parameter identification scheme is applied to a self-diagnostic poly(dimethylsiloxane) (PDMS) elastomer, where so-called mechanophore units are incorporated within the polymeric microstructure. The present contribution, however, focuses on the purely mechanical response of the material, combining experiments with homogeneous and inhomogeneous states of deformation. In effect, the results provided lay the groundwork for a future extension of the proposed parameter identification framework, where additional field-data provided by the self-diagnostic capabilities can be incorporated into the optimisation scheme.
“…The parameters of the mesh as well as the types of the bodies can be seen in table 1. A LEMAITRE damage model was utilized in this paper which is based on the work of SPRAVE [12]. The model parameters of the calibrated material model are consistent with prior work [8].…”
Abstract. The damage state in the form of voids and lattice defects of a sheet metal component has a substantial impact on the performance of a component in service regarding fatigue or crash behaviour. Therefore, managing the damage evolution during forming, especially the accumulation and distribution of damage, by targeted changes of the process parameters and set-up enables to improve component performance by influencing the stress-strain state [1]. The evolution of the stress-strain state during the forming process and along the process route represents the most significant factor influencing the resulting damage state. This paper focuses on the influence of the damage state of sheet metal components in order to improve the performance of a component regarding fatigue and crash behavior. Considering a variation of the process parameter (drawing die radius) and change in process set-up (singlestep, multistep, reverse stretch drawing) the damage accumulation and distribution within the component is analyzed using a calibrated LEMAITRE damage model. For the consideration of this paper, an u-shaped geometry of dual phase steel DP800, which is often found as an element in vehicle body construction, is used.
“…This mesh dependency can be alleviated in two ways: a) Characterizing damage model parameters for a specific element size and then ensuring that during the computations the element sizes remain below this limit. In this context the utilization of adaptive anisotropic mesh refinements is a promising approach [98] b) Using non-local formulations as applied to sheet bending in [186]. Scale-bridging models are very promising; however, the computational requirements of these models are far beyond acceptable limits for analysis of industrial scale processes.…”
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