An analytical model for a two-layer LTCC beam

For the design of a force sensor in low temperature co-fired ceramics (LTCC) technology, the modulus of elasticity of the underlying LTCC substrate is an essential design parameter. Since the LTCC substrate may be subjected to forces that could exceed the flexural strength of a single LTCC layer, multiple LTCC tapes are laminated together in order to increase the maximum applicable force. Preceding measurements did show that the effective modulus of elasticity of LTCC laminates is below the modulus of elasticity of a single LTCC layer with theoretically the same thickness. This paper deals with an analytical model to describe macroscopically the mechanical interface behavior of two-layer LTCC laminates. In this model an interlayer slip is defined which allows the description of the laminate´s characteristics by a constant interlayer slip modulus.