船舶与海洋工程学报（英文版）
船舶與海洋工程學報（英文版）
선박여해양공정학보（영문판）
JOURNAL OF MARINE SCIENCE AND APPLICATION
2009年
3期
252-257
,共6页
压力敏感性材料%界面Ⅰ型准静态扩展裂纹%裂纹尖端场%渐近分析
壓力敏感性材料%界麵Ⅰ型準靜態擴展裂紋%裂紋尖耑場%漸近分析
압력민감성재료%계면Ⅰ형준정태확전렬문%렬문첨단장%점근분석
pressure-sensitive material%mode Ⅰ quasi-static interface crack%crack-tip field%asymptotic analysis
为了研究船用工程复合材料的界面裂纹特性,建立了刚性-压力敏感粘弹塑性材料Ⅰ型准静态扩展裂纹的力学模型.在稳态扩展阶段,应力和应变具有相同的奇异量级,即(σ,ε)∝γ<'-1/(n-1)>.引入Airy应力函数,通过渐近分析得出了裂纹尖端应力和应变的分离变量形式的渐近解,并采用打靶法求得了裂纹尖端应力和应变的数值结果.数值计算结果表明,界而裂尖场主要受材料的泊松比和幂硬化指数的控制.通过对裂纹尖端场的渐近分析,从应变角度出发,提出了刚性一压力敏感性材料界面Ⅰ型准静态扩展裂纹的断裂判据.
為瞭研究船用工程複閤材料的界麵裂紋特性,建立瞭剛性-壓力敏感粘彈塑性材料Ⅰ型準靜態擴展裂紋的力學模型.在穩態擴展階段,應力和應變具有相同的奇異量級,即(σ,ε)∝γ<'-1/(n-1)>.引入Airy應力函數,通過漸近分析得齣瞭裂紋尖耑應力和應變的分離變量形式的漸近解,併採用打靶法求得瞭裂紋尖耑應力和應變的數值結果.數值計算結果錶明,界而裂尖場主要受材料的泊鬆比和冪硬化指數的控製.通過對裂紋尖耑場的漸近分析,從應變角度齣髮,提齣瞭剛性一壓力敏感性材料界麵Ⅰ型準靜態擴展裂紋的斷裂判據.
위료연구선용공정복합재료적계면렬문특성,건립료강성-압력민감점탄소성재료Ⅰ형준정태확전렬문적역학모형.재은태확전계단,응력화응변구유상동적기이량급,즉(σ,ε)∝γ<'-1/(n-1)>.인입Airy응력함수,통과점근분석득출료렬문첨단응력화응변적분리변량형식적점근해,병채용타파법구득료렬문첨단응력화응변적수치결과.수치계산결과표명,계이렬첨장주요수재료적박송비화멱경화지수적공제.통과대렬문첨단장적점근분석,종응변각도출발,제출료강성일압력민감성재료계면Ⅰ형준정태확전렬문적단렬판거.
A mechanical model of the quasi-static interface of a mode I crack between a rigid and a pressure-sensitive viscoelastic material was established to investigate the mechanical characteristic of ship-building engineering bi-materials. In the stable growth stage, stress and strain have the same singularity, ie (σ, ε) ∝γ<'-1/(n-1)>. The variable-separable asymptotic solutions of stress and strain at the crack tip were obtained by adopting Airy's stress function and the numerical results of stress and strain in the crack-tip field were obtained by the shooting method. The results showed that the near-tip fields are mainly governed by the power-hardening exponent n and the Poisson ratio V of the pressure-sensitive material. The fracture criterion of mode Ⅰ quasi-static crack growth in pressure-sensitive materials, according to the asymptotic analyses of the crack-tip field, can be viewed from the perspective of strain.
