On the simulation of molded micro components and systems

Regarding micro components and systems, experimental work for characterizing materials’ properties as well as components’ and systems’ behaviors have to be supplemented by numerical analyses. These analyses should cover component and system issues. On a component level, macroscopic approaches are extended by methods allowing consideration of the influence of components’ grain structures including possible defects. On a system level, the high tolerances accepted for the individual components due to production inaccuracy and their effects on the expected load distribution capability of the system are taken into account. This paper presents approaches for simulation of micro components and systems using the finite element method and multi body simulation. Methods to overcome the abovementioned issues will be shown, as well as the effects of grain structure on the stress distribution in the individual components.

[1]  A. Albers,et al.  Investigations on the Reliability of FEA Calculations on the Microscopic Scale , 2001 .

[2]  H. Keller,et al.  Analysis of Numerical Methods , 1967 .

[3]  K. Bathe Finite Element Procedures , 1995 .

[4]  Nathan M. Newmark,et al.  A Method of Computation for Structural Dynamics , 1959 .

[5]  Albert Albers,et al.  Modeling and Validation in Design , 2005 .

[6]  D. Stoyan,et al.  Stochastic Geometry and Its Applications , 1989 .

[7]  D. Stoyan,et al.  Stochastic Geometry and Its Applications , 1989 .

[8]  Albert Albers,et al.  Methods for the Simulation of Micro Components With Respect to the Grain Structure , 2007 .

[9]  Ted Belytschko,et al.  A survey of numerical methods and computer programs for dynamic structural analysis , 1976 .

[10]  R. Courant,et al.  Über die partiellen Differenzengleichungen der mathematischen Physik , 1928 .

[11]  Mikael Nygårds,et al.  Microstructural finite element modeling of metals , 2003 .

[12]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[13]  T. J.R. Hughes,et al.  ANALYSIS OF TRANSIENT ALGORITHMS WITH PARTICULAR REFERENCE TO STABILITY BEHAVIOR. , 1983 .

[14]  H. Bunge Texture Analysis in Materials Science , 1982 .

[15]  Georges Voronoi Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Deuxième mémoire. Recherches sur les parallélloèdres primitifs. , 1908 .

[16]  Martin Bäker,et al.  Numerische Methoden in der Materialwissenschaft , 2009 .

[17]  Cv Clemens Verhoosel,et al.  Non-Linear Finite Element Analysis of Solids and Structures , 1991 .

[18]  Albert Albers,et al.  Influence of the microstructure on the strain of micro components , 2006 .

[19]  Stephen C. Hwang,et al.  A finite element model of ferroelastic polycrystals , 1999 .

[20]  Thomas J. R. Hughes,et al.  Improved numerical dissipation for time integration algorithms in structural dynamics , 1977 .