Natural materials overwhelmingly shrink laterally under
stretching
and expand upon heating. Through incorporating Poisson’s ratio
and coefficient of thermal expansion (PR and CTE) in unusual geminations,
such as positive PR and negative CTE, negative PR and positive CTE,
and even zero PR and zero CTE, bifunctional metamaterials would generate
attractive shape control capacity. However, reported bifunctional
metamaterials are only theoretically constructed by simple skeletal
ribs, and the magnitudes of the bifunctions are still in quite narrow
ranges. Here, we propose a methodology for generating novel bifunctional
metamaterials consisting of engineering polymers. From concept to
refinement, the topology and shape optimization are integrated for
programmatically designing bifunctional metamaterials in various germinations
of the PR and CTE. The underlying deformation mechanisms of the obtained
bifunctions are distinctly revealed. All of the designs with complex
architectures and material layouts are fabricated using the multimaterial
additive manufacturing, and their effective properties are experimentally
characterized. Good agreements of the design, simulation, and experiments
are achieved. Especially, the accessible range of the bifunction,
namely, PR and CTE, is remarkably enlarged nearly 4 times. These developed
approaches open an avenue to explore the bifunctional metamaterials,
which are the basis of myriad mechanical- and temperature-sensitive
devices, e.g., morphing structures and high-precision components of
the sensors/actuators in aerospace and electronical domains.