Evaluation of very low bending radius of flexible circuits beyond the standard design rules
The Flexible Printed Circuits (FPC) used in high-end applications have some specific characteristics. It has a more complex build-up and must be compatible with repair processes. Moreover, they are used in harsh environment and long mission profile. Current FPC design are based on industrial standards, which propose design rules, such as minimum bending radius calculated from the maximum accepted copper elongation. This work is part of a large study focused on the development of a new generation of digital board solutions for electronic interconnection. In this paper, a finite element simulation study will be applied to FPC bending analysis beyond industrial standard limits. As a conclusion, we propose to consider the maximum copper strain and the bending shape for the minimum bending radius definition.
Flexible Durability of Ultra-Thin FPCB
LS Mtron, 555 Hogye-dong, Anyang-si, Kyounggi-Do, Korea(2014년 11월 11일 접수: 2014년 12월 24일 수정: 2014년 12월 26일 게재확정 )초록: 본 연구에서는 스퍼터링 공정으로 제작된 FCCL(flexible copper clad laminate)을 이용하여 초박형 FPCB를 개발하였다. 또한 구리 박막과 폴리이미드 기판의 접착력을 향상시키기 위한 NiMoNb 접착층을 적용하였다. 개발된 초박형FPCB의 기계적 내구성과 유연성은 인장, 비틀림 및 굽힘 피로 수명시험을 이용하여 검증하였다. 인장 시험 결과 초박형FPCB는 약 7% 까지 인장이 가능하였으며, 비틀림 각도 120
Three-dimensional elasticity problems for the prismatic bar
A general solution is given to the three-dimensional linear elastic problem of a prismatic bar subjected to arbitrary tractions on its lateral surfaces, subject only to the restriction that they can be expanded as finite power series in the axial coordinate z. The solution is obtained by repeated differentiation of the tractions with respect to z, establishing a set of sub-problems . A recursive procedure is then developed for generating the solution to from that for . This procedure involves three steps: integration of the stress and displacement fields with respect to z, using an appropriate Papkovich–Neuber (P–N) representation; solution of two-dimensional in-plane and antiplane corrective problems for the tractions in that are independent of z; and expression of these corrective solutions in P–N form. The method is illustrated by an example.