Details
| Original language | English |
|---|---|
| Article number | 112012 |
| Journal | International Journal of Solids and Structures |
| Volume | 259 |
| Early online date | 28 Oct 2022 |
| Publication status | Published - 25 Dec 2022 |
Abstract
Modeling and simulation of materials with stochastic properties is typically computationally expensive, especially for nonlinear materials or dynamic simulations. Time-separated stochastic mechanics (TSM) is a technique to efficiently compute the stochastic characteristics of stress and reaction force of materials. It has successfully been used for viscoelastic materials with random homogenized Young's modulus. The method is based on a decomposition of time-invariant random variables and time-dependent but deterministic variables for the strain response at the material point. In this work, the TSM is extended for the dynamic analysis of stochastic viscoelastic materials. It is showcased that the TSM can efficiently approximate the expectation and variance of the reaction force and the stress for the dynamic simulation of a viscoelastic nonlinear material. Furthermore, generalized equations of the TSM are presented that increase the accuracy and allow for accounting of larger fluctuations of the material parameters. Transient time-domain simulations are performed for different boundary value problems and compared to Monte Carlo simulations to demonstrate the accuracy and computational efficiency of the method.
Keywords
- Dynamic behavior, Stochastic viscoelastic material, Time-separated stochastic mechanics
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal of Solids and Structures, Vol. 259, 112012, 25.12.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Simulation of the dynamic behavior of viscoelastic structures with random material parameters using time-separated stochastic mechanics
AU - Geisler, Hendrik
AU - Nagel, Jan
AU - Junker, Philipp
N1 - Funding Information: This work has been supported by the German Research Foundation (DFG) within the framework of the international research training group IRTG 2657 “Computational Mechanics Techniques in High Dimensions” (Reference: GRK 2657/1).
PY - 2022/12/25
Y1 - 2022/12/25
N2 - Modeling and simulation of materials with stochastic properties is typically computationally expensive, especially for nonlinear materials or dynamic simulations. Time-separated stochastic mechanics (TSM) is a technique to efficiently compute the stochastic characteristics of stress and reaction force of materials. It has successfully been used for viscoelastic materials with random homogenized Young's modulus. The method is based on a decomposition of time-invariant random variables and time-dependent but deterministic variables for the strain response at the material point. In this work, the TSM is extended for the dynamic analysis of stochastic viscoelastic materials. It is showcased that the TSM can efficiently approximate the expectation and variance of the reaction force and the stress for the dynamic simulation of a viscoelastic nonlinear material. Furthermore, generalized equations of the TSM are presented that increase the accuracy and allow for accounting of larger fluctuations of the material parameters. Transient time-domain simulations are performed for different boundary value problems and compared to Monte Carlo simulations to demonstrate the accuracy and computational efficiency of the method.
AB - Modeling and simulation of materials with stochastic properties is typically computationally expensive, especially for nonlinear materials or dynamic simulations. Time-separated stochastic mechanics (TSM) is a technique to efficiently compute the stochastic characteristics of stress and reaction force of materials. It has successfully been used for viscoelastic materials with random homogenized Young's modulus. The method is based on a decomposition of time-invariant random variables and time-dependent but deterministic variables for the strain response at the material point. In this work, the TSM is extended for the dynamic analysis of stochastic viscoelastic materials. It is showcased that the TSM can efficiently approximate the expectation and variance of the reaction force and the stress for the dynamic simulation of a viscoelastic nonlinear material. Furthermore, generalized equations of the TSM are presented that increase the accuracy and allow for accounting of larger fluctuations of the material parameters. Transient time-domain simulations are performed for different boundary value problems and compared to Monte Carlo simulations to demonstrate the accuracy and computational efficiency of the method.
KW - Dynamic behavior
KW - Stochastic viscoelastic material
KW - Time-separated stochastic mechanics
UR - http://www.scopus.com/inward/record.url?scp=85141891813&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2022.112012
DO - 10.1016/j.ijsolstr.2022.112012
M3 - Article
AN - SCOPUS:85141891813
VL - 259
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
M1 - 112012
ER -