モードIクリープき裂の定常進展における損傷場と応力特異性

概要

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Damage field and stress singularity of a mode I creep crack in steady-state growth are analyzed in the framework of continuum damage mechanics by employing semi-inverse method. A damage field D (x) for steady-state crack growth represented by an undetermined power function γ^l of radius γfrom the crack tip is assumed first, and the corresponding asymptotic stress field of a mode I creep crack is analyzed by solving a two-point boundary value problem of non-linear differential equations. Then, the exponent l of the undetermined damage field is determined so that the assumed damage field may be consistent with the damage evolution equation and the resulting asymptotic stress field. Finally, analytical relations among the exponent p of the stress singularity of the asymptotic stress field and the exponents n and m of the power creep constitutive law and the power creep damage law are obtained. The effects of material damage on the HRR stress field for nonlinear materials are discussed in some detail.
一般社団法人日本機械学会の論文
1998-12-25