The present invention belongs to the technical fields of novel structure design and lattice material design, and refers to structures, lattice materials, and lattice cylindrical shells with simultaneous stretch- and compression-expanding property. First, use the local tension-compression asymmetry in the tension modulus and compression modulus generated by the contact nonlinearity of the tension springs to construct a type of 2D structures and lattice materials with stretch- and compression-expanding property. Then by assembling the 2D structures in different directions, 3D structures and lattice materials can be constructed. Meanwhile, a lattice cylindrical shell can also be constructed by using the 2D stretch- and compression-expanding structures as the unit cell. The structures and lattice materials presented in this invention can be used as a specific functional material and has a promising application in the fields of energy absorption, vibration reduction, medical treatment, wave propagation, intelligent components, and so on.
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