Described herein are multi-functional composite materials containing energy storage assemblies that can be significantly resistant to tension/compression stress. The energy storage assemblies can contain at least one energy storage layer that contains an insulating layer having a plurality of openings arranged in a spaced apart manner, and a plurality of energy storage devices, each energy storage device being contained within one of the openings. The energy storage devices can be electrically connected to one another. The energy storage layer can contain a support material upon which electrical connections are formed. One or more energy storage layers can be disposed between two or more stress carrying layers to form an energy storage assembly that can have significant resistance to tension/compression stress. Energy storage devices suitable for use in the energy storage assemblies can include, for example, batteries, capacitors and/or supercapacitors. Methods for producing the energy storage assemblies are also described.