Scholarlink

<p>In this paper, we consider fully nonlinear gravity waves travelling at the interface between a thin ice sheet and an ideal fluid. The ice-sheet model is based on the special Cosserat theory of hyperelastic shells under Kirchhoff’s kinematic hypothesis, yielding a conservative and nonlinear formulation of bending forces. We present an exact energy relation (kinetic energy, potential energy and elastic energy) for fully nonlinear hydroelastic waves. Moreover, the relationship between mass and momentum is derived. If the elastic energy does not exist, we get the relationship between the kinetic energy and potential energy of two-dimensional water waves. The energy relations enable the quantification of wave energy dissipation mechanisms induced by ice-sheet vibrations.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Energy relation for hydroelastic waves

  • 期刊论文

  • 发表日期：

    2025年9月15日

查看全文
  • Jian Li,
  • Shaojie Yang

摘要

In this paper, we consider fully nonlinear gravity waves travelling at the interface between a thin ice sheet and an ideal fluid. The ice-sheet model is based on the special Cosserat theory of hyperelastic shells under Kirchhoff’s kinematic hypothesis, yielding a conservative and nonlinear formulation of bending forces. We present an exact energy relation (kinetic energy, potential energy and elastic energy) for fully nonlinear hydroelastic waves. Moreover, the relationship between mass and momentum is derived. If the elastic energy does not exist, we get the relationship between the kinetic energy and potential energy of two-dimensional water waves. The energy relations enable the quantification of wave energy dissipation mechanisms induced by ice-sheet vibrations.