Combined notch and size effect modeling in a local probabilistic approach for LCF

L Mäde, S Schmitz, H Gottschalk, T Beck - Computational Materials Science, 2018 - Elsevier
In recent years a local probabilistic model for low cycle fatigue (LCF) based on the statistical
size effect has been developed and applied on engineering components. Here, the notch …

Probabilistic notch fatigue assessment under size effect using weakest link theory

WQ Dai, SP Zhu, JC He, AT Taddesse… - Engineering Fracture …, 2022 - Elsevier
Notch and size effects exerts significant influence on the fatigue performances of
engineering components. In the present study, a probabilistic framework for fatigue life …

Risk estimation for LCF crack initiation

S Schmitz, H Gottschalk… - … Expo: Power for …, 2013 - asmedigitalcollection.asme.org
An accurate risk assessment for fatigue damage is of vital importance for the design and
service of today's turbomachinery components. We present an approach for quantifying the …

Minimal failure probability for ceramic design via shape control

M Bolten, H Gottschalk, S Schmitz - Journal of Optimization Theory and …, 2015 - Springer
We consider the probability of failure for components made of brittle materials under one
time application of a load, as introduced by Weibull and Batdorf-Crosse. These models have …

Gradient based biobjective shape optimization to improve reliability and cost of ceramic components

OT Doganay, H Gottschalk, C Hahn, K Klamroth… - Optimization and …, 2020 - Springer
We consider the simultaneous optimization of the reliability and the cost of a ceramic
component in a biobjective PDE constrained shape optimization problem. A probabilistic …

Numerical shape optimization to decrease failure probability of ceramic structures

M Bolten, H Gottschalk, C Hahn, M Saadi - Computing and Visualization in …, 2019 - Springer
Ceramic is a material frequently used in industry because of its favorable properties.
Common approaches in shape optimization for ceramic structures aim to minimize the …

Adjoint method to calculate the shape gradients of failure probabilities for turbomachinery components

H Gottschalk, M Saadi… - … Expo: Power for …, 2018 - asmedigitalcollection.asme.org
In the optimization of turbomachinery components, shape sensitivities for fluid dynamical
objective functions have been used for a long time. As peak stress is not a differential …

An analytical study in multi-physics and multi-criteria shape optimization

H Gottschalk, M Reese - Journal of Optimization Theory and Applications, 2021 - Springer
A simple multi-physical system for the potential flow of a fluid through a shroud, in which a
mechanical component, like a turbine vane, is placed, is modeled mathematically. We then …

Shape gradients for the failure probability of a mechanic component under cyclic loading: a discrete adjoint approach

H Gottschalk, M Saadi - Computational Mechanics, 2019 - Springer
This work provides a numerical calculation of shape gradients of failure probabilities for
mechanical components using a first discretize, then adjoin approach. While deterministic …

Probabilistic analysis of lcf crack initiation life of a turbine blade under thermomechanical loading

S Schmitz, G Rollmann, H Gottschalk… - arXiv preprint arXiv …, 2013 - arxiv.org
An accurate assessment for fatigue damage as a function of activation and deactivation
cycles is vital for the design of many engineering parts. In this paper we extend the …