Ubiquitous systems are characterized by using devices and objects of everyday life. The software infrastructure of such systems appears dynamically populated by functionalities of those devices. Because environment's nature is highly variable, even the corresponding software infrastructure, ubiquitous systems have to handle those variations. It implies that a designer cannot predict a priori the environment in which its application will be executed. So, the approaches used should not only address specific cases of context. AOP provides a mean to encapsulate adaptations into aspects. Such an encapsulation improves the reusability of adaptation mechanisms. In this context our previous works called Aspect of Assembly (AA) was based on AOP to propose mechanisms for self-adaptation of ubiquitous applications as an assembly of components. But they present few limitations in terms of reusability and to manage the dynamic variability of the environment. The paper presents Cascaded Aspects of Assembly as an extended model of AA to address these limitations. They consist in chaining AA's weaving as cascades.