Micromechanically based stochastic finite elements
نویسنده
چکیده
A stochastic finite element method for analysis of effects of spatial variability of material properties is developed with the help of a micromechanics approach. The method is illustrated by evaluating the first and second moments of the global response of a membrane with microstructure of a spatially random inclusionmatrix composite under a deterministic uniformly distributed load. It is shown that two mesoscale random continuum fields have to be introduced to bound the material properties and, in turn, the global response from above and from below. The intrinsic scale dependence of these two random fields is dictated by the choice of the finite element mesh.
منابع مشابه
Chair of Engineering Mechanics Ifm-publication 2-426 the Need for Linking Micromechanics of Materials with Stochastic Finite Elements: a Challenge for Materials Science
A basic assumption of Stochastic Finite Element Methods (SFEM) is that the spatial variation of uncertain structural material properties can be described by random fields. Due to the lack of measured data, SFEM researchers and users are usually forced to make assumptions regarding qualitative and quantitative characteristics for the random field representation of various material parameters inv...
متن کاملThe need for linking micromechanics of materials with stochastic finite elements: a challenge for materials science
A basic assumption of Stochastic Finite Element Methods (SFEM) is that the spatial variation of uncertain structural material properties can be described by random fields. Due to the lack of measured data, SFEM researchers and users are usually forced to make assumptions regarding qualitative and quantitative characteristics for the random field representation of various material parameters inv...
متن کاملStochastic Finite Fault Modeling for the 16 September 1978 Tabas, Iran, Earthquake
The main objective of this study is estimating acceleration time history of 16 September 1978 Tabas earthquake incorporating the seismological/geological source-path and site model parameters by using finite-fault simulation approach. The method generalizes the stochastic ground-motion simulation technique, developed for point sources, to the case of finite faults. It subdivides the fault plane...
متن کاملThe Generation of Earthquake PGA Using Stochastic Finite Fault Method in Alborz Region
Time-history analysis is defined as a kind of dynamic analysis increasingly used in design of structures and evaluation of existing ones. One of the important issues in the Time-history analysis is selecting earthquake records. In this case, seismic design provisions states that time histories shall have similar source mechanisms, geological and seismological features with region under study. A...
متن کاملUsing Two-Dimensional Finite State Machine for Stochastic Computation
Stochastic computational elements, which perform computation based on stochastic bit streams, have several advantages compared to deterministic computational elements, such as high fault-tolerance and low hardware cost. Additionally, researchers have shown that a linear Finite State Machine (FSM) can be used to compute some functions stochastically, such as the exponentiation and tanh functions...
متن کامل