Modelling and numerical simulation of the electrical, mechanical, and thermal coupled behaviour of Multilayer capacitors (MLCs)

• Published in: Journal of the European Ceramic Society Vol. 22; no. 8; pp. 1285 - 1296
• Main Authors: Prume, Klaus, Franken, Klaus, Böttger, Ulrich, Waser, Rainer, Maier, Horst R
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.08.2002; Elsevier
• Subjects: Applied sciences; BaTiO3; Capacitors; Dielectric, amorphous and glass solid devices; Electrical properties; Electronics; Exact sciences and technology; Failure analysis; Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices; Simulation; Strength; Electrical properties; Simulation; Capacitors; BaTiO3; Failure analysis; Strength; Barium titanate; Dielectric materials; Electric stress; Thermal behavior; Multiple layer; Thermomechanical properties; Two dimensional model; Ceramic capacitor; Finite element method; Mechanical stress; Mechanical characteristic; Numerical simulation; Reliability; Electrical characteristic
• ISSN: 0955-2219; 1873-619X
• DOI: 10.1016/S0955-2219(01)00439-3

The modelling of non-linear coupled material characteristics has been used for finite element simulations of the integral device behaviour and mechanical and electrical stress distributions of ceramic multilayer capacitors. A two-dimensional finite element model of standard X7R-type capacitors of different sizes soldered on a printed circuit board has been developed to calculate residual, joining as well as mechanical and electrical load stresses. This model includes the experimentally measured non-linear bias field dependencies of the electric and piezoelectric characteristics of the BaTiO3 based dielectric material. The validation of the model is demonstrated by calculations of the failure probability of soldered capacitors in a four-point bending test under simultaneous electrical loading. The results allow a description and possible improvement of the short-time reliability under particular load cases.