The theory ofhydroelasticity is an important branch of learning for describingthe interaction between liquid, gas and elastic structure. Itconcerns nearly every part of daily life because of itsmulti-disciplinary nature, and becomes the main research object inmany engineering fields. Based on the significance andclassification method of the nonlinear problem aboutfluid-elasticity interaction, the characteristics, state ofresearch and research methods of nonlinear hydroelasticity arepresented, covering the analytical methods, experiment methods,numerical methods and semi-analytical methods, etc. Relationshipamong the methods used to describe the medium interaction, chieflythe arbitrary Lagrangian-Eulerian method, unitedLagrangian-Eulerian method, single Lagrangian method and singleEulerian method, are discussed, together with comparisons of theirrelative advantages and disadvantages. Contents of the nonlinearhydroelasticity and its applications to aeroelasticity,hydroelasticity, entironment hydroelasticity, micro-scalehydroelasticity and vortex induced vibration are intruduced, andtask and development tendency of the nonlinear hydroelasticity arepresented.

The saturatedseepage-stress coupling problems in rock mass are oftenencountered in the field of seepage flows occurring in the dam andits control, stability analysis of hydraulic tunnels, traffictunnels, underground caverns, rock slopes, dam foundations andmining engineering and hydraulic fracturing in reservoir. Thepurpose of this review is to present and classify the mechanicalmodels often applied to seepage-stress coupling problems in thesefields of rock mass：equivalent continuum model，fracture networkmodel，double-medium model，fracture mechanics model，continuousdamage mechanics model and statistical model. The first threemodels focus mainly on dealing with the seepage field by means ofclassical rock mechanics，and the rest models pay more attentionson failure damage of the intact rocks with coupling effect. Thenthe merits and drawbacks of these models were pointed out and someoutstanding results from each model were also summarized. Finally,suggestions for further improvement were put forward.