Elastic fibres allow the lungs to stretch and recoil during breathing. During inspiration, the diaphragm contracts causing the ribcage to rise and the volume of the chest increases. As a result, pressure inside the lungs decreases allowing air to enter through the nose/mouth. Elastic fibres within the lungs cause them to expand and fill with air. When we exhale, the diaphragm relaxes and the ribcage falls back down, increasing pressure inside the lungs and forcing air out.