폴리머 폼의 비선형 인장거동을 모사하기 위한 기공이 고려된 손상 탄성 구성방정식
Elastic-Damage Constitutive Model for Nonlinear Tensile Behavior of Polymeric Foam
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초록
폴리머 폼은 다공성을 가장 큰 특징으로 하는 재료이기 때문에, 본 연구에서 비가역 열역학 관점을 기반으로 폴리머 폼의 기공 성장 및 합체를 고려한 손상 탄성 구성방정식을 개발하였으며, 개발된 구성방정식은 unilateral 손상의 효과를 고려하였다. 유한요소해석의 적용을 위해 상용 유한요소해석 프로그램인 ABAQUS의 사용자 서브루틴 UMAT을 이용하여 제안된 구성방정식을 수치적으로 구현하였다. 비선형 유한요소해석 결과와 폴리머 폼의 인장 시험 결과와 비교를 통해 제안된 손상 모델의 유효성을 검증하였으며, 제안된 구성방정식의 재료모델상수가 손상에 미치는 영향에 대해 분석하였다.
Abstract
This paper details the development of an isotropic elastic-damage constitutive model for polymeric foam based on irreversible thermodynamics to consider the growth and coalescence of voids. The constitutive equations describe the material behavior sustaining unilateral damage. To facilitate finite element analysis, the material properties for specific types of polymeric foams are applied to the developed model; the model is then implemented in ABAQUS as a user-defined material subroutine. To validate the developed damage model, the simulated results are compared to the results of a series of tensile tests on various polymeric foams. The proposed damage model can be utilized to further research on continuum damage mechanics and finite element analysis of polymeric foams in computational engineering.
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