物理学报Issue(10)：1-7,7.DOI:10.7498/aps.64.108301
标准线性固体材料中球面应力波传播特征研究∗
Characteristics of spherical stress wave propagation in the standard linear solid material
摘要
Abstract
Based on the standard linear solid model, the solutions in Laplace domain, such as particle velocity v, particle displacement u, radial stress σr, tangential stress σθ, radial strain εr, tangential strain εθ, reduced velocity potential γ(RVP), and reduced displacement potential ψ (RDP), are derived from the spherical wave equations. The propagating characteristics of these physical quantities, as mentioned above, are calculated by using Crump algorithm for inverse Laplace transformation. The numerical inversion results reveal that the initial response to strong discontinuity spherical stress wave in viscoelastic material is purely elastic response. The strong discontinuities, such as σr, σθ, εr, εθ and v, contain geometrical attenuation and viscoelastic damping in the process of wave propagation. The variables, such asσr,σθ, εr, εθ, u and ψ, converge to steady values as time approaches to infinity. The peak values of RVP γ and RDP ψ, which are constant in a purely elastic material, are steadily reduced with the spreading distance increasing in viscoelastic material. The steady values ofψ are in inverse relation to the static shear modulus Ga, and directly proportional to the steady cavity pressure and the cube of the cavity radius r.关键词
爆炸力学/球面应力波/标准线性固体模型/Laplace逆变换Key words
mechanics of explosion/spherical stress waves/standard linear solid model/Laplace inversion transform引用本文复制引用
卢强,王占江..标准线性固体材料中球面应力波传播特征研究∗[J].物理学报,2015,(10):1-7,7.基金项目
国家自然科学基金(批准号:11172244)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.11172244) （批准号:11172244）
